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23110141034000 = 245389137394561
BaseRepresentation
bin1010100000100101111111…
…01111110011111000010000
310000211022022110112000202102
411100102333233303320100
511012114032101042000
6121052352514135532
74603436560434206
oct520227757637020
9100738273460672
1023110141034000
1173aaa57151849
122712a975815a8
13cb837a5c06b7
1459c772d6b076
152a1233c803d5
hex1504bfbf3e10

23110141034000 has 160 divisors (see below), whose sum is σ = 56549944545120. Its totient is φ = 9133436928000.

The previous prime is 23110141033979. The next prime is 23110141034033. The reversal of 23110141034000 is 43014101132.

It can be written as a sum of positive squares in 16 ways, for example, as 15612708469264 + 7497432564736 = 3951292^2 + 2738144^2 .

It is a super-2 number, since 2×231101410340002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244346720 + ... + 244441280.

It is an arithmetic number, because the mean of its divisors is an integer number (353437153407).

Almost surely, 223110141034000 is an apocalyptic number.

23110141034000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23110141034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28274972272560).

23110141034000 is an abundant number, since it is smaller than the sum of its proper divisors (33439803511120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23110141034000 is a wasteful number, since it uses less digits than its factorization.

23110141034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96046 (or 96030 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 23110141034000 its reverse (43014101132), we get a palindrome (23153155135132).

The spelling of 23110141034000 in words is "twenty-three trillion, one hundred ten billion, one hundred forty-one million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 712 890 1000 1373 1424 1780 2000 2225 2746 3560 4450 5492 6865 7120 8900 10984 11125 13730 17800 21968 22250 27460 34325 35600 44500 54920 68650 89000 94561 109840 122197 137300 171625 178000 189122 244394 274600 343250 378244 472805 488788 549200 610985 686500 756488 945610 977576 1221970 1373000 1512976 1891220 1955152 2364025 2443940 2746000 3054925 3782440 4728050 4887880 6109850 7564880 8415929 9456100 9775760 11820125 12219700 15274625 16831858 18912200 23640250 24439400 30549250 33663716 37824400 42079645 47280500 48878800 61098500 67327432 84159290 94561000 122197000 129832253 134654864 168318580 189122000 210398225 244394000 259664506 336637160 420796450 519329012 649161265 673274320 841592900 1038658024 1051991125 1298322530 1683185800 2077316048 2103982250 2596645060 3245806325 3366371600 4207964500 5193290120 6491612650 8415929000 10386580240 11555070517 12983225300 16229031625 16831858000 23110141034 25966450600 32458063250 46220282068 51932901200 57775352585 64916126500 92440564136 115550705170 129832253000 184881128272 231101410340 259664506000 288876762925 462202820680 577753525850 924405641360 1155507051700 1444383814625 2311014103400 2888767629250 4622028206800 5777535258500 11555070517000 23110141034000