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110430040331000 = 23531314275952781
BaseRepresentation
bin11001000110111101111111…
…010100111001001011111000
3112111000000020101022002012202
4121012331333110321023320
5103433241210311043000
61030510505444325332
732155210226153525
oct3106757724711370
9474000211262182
10110430040331000
1132206131952925
12104760b90a3848
13498067b455c90
141d3abb1a4a14c
15cb781354edd5
hex646f7f5392f8

110430040331000 has 128 divisors (see below), whose sum is σ = 278478761520960. Its totient is φ = 40745588544000.

The previous prime is 110430040330963. The next prime is 110430040331021. The reversal of 110430040331000 is 133040034011.

It is a super-2 number, since 2×1104300403310002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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, 15574610 + ... + 21527390.

Almost surely, 2110430040331000 is an apocalyptic number.

110430040331000 is a gapful number since it is divisible by the number (10) 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 110430040331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139239380760480).

110430040331000 is an abundant number, since it is smaller than the sum of its proper divisors (168048721189960).

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

110430040331000 is a wasteful number, since it uses less digits than its factorization.

110430040331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954242 (or 5954228 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 110430040331000 its reverse (133040034011), we get a palindrome (110563080365011).

The spelling of 110430040331000 in words is "one hundred ten trillion, four hundred thirty billion, forty million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1427 1625 2600 2854 3250 5708 6500 7135 11416 13000 14270 18551 28540 35675 37102 57080 71350 74204 92755 142700 148408 178375 185510 285400 356750 371020 463775 713500 742040 927550 1427000 1855100 2318875 3710200 4637750 5952781 9275500 11905562 18551000 23811124 29763905 47622248 59527810 77386153 119055620 148819525 154772306 238111240 297639050 309544612 386930765 595278100 619089224 744097625 773861530 1190556200 1488195250 1547723060 1934653825 2976390500 3095446120 3869307650 5952781000 7738615300 8494618487 9673269125 15477230600 16989236974 19346538250 33978473948 38693076500 42473092435 67956947896 77386153000 84946184870 110430040331 169892369740 212365462175 220860080662 339784739480 424730924350 441720161324 552150201655 849461848700 883440322648 1061827310875 1104300403310 1698923697400 2123654621750 2208600806620 2760751008275 4247309243500 4417201613240 5521502016550 8494618487000 11043004033100 13803755041375 22086008066200 27607510082750 55215020165500 110430040331000