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21301000120 = 23523891571657
BaseRepresentation
bin10011110101101000…
…110111011110111000
32000222111120220220101
4103311220313132320
5322111024000440
613441402205144
71352600341111
oct236550673670
960874526811
1021301000120
11904094a734
1241657b37b4
1320160a2baa
141060dc7208
1584a0a769a
hex4f5a377b8

21301000120 has 128 divisors (see below), whose sum is σ = 50925801600. Its totient is φ = 8002215936.

The previous prime is 21301000109. The next prime is 21301000121. The reversal of 21301000120 is 2100010312.

It is a super-2 number, since 2×213010001202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 21301000097 and 21301000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301000121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12854332 + ... + 12855988.

It is an arithmetic number, because the mean of its divisors is an integer number (397857825).

Almost surely, 221301000120 is an apocalyptic number.

21301000120 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 21301000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25462900800).

21301000120 is an abundant number, since it is smaller than the sum of its proper divisors (29624801480).

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

21301000120 is a wasteful number, since it uses less digits than its factorization.

21301000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 21301000120 its reverse (2100010312), we get a palindrome (23401010432).

The spelling of 21301000120 in words is "twenty-one billion, three hundred one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 23 40 46 89 92 115 157 178 184 230 314 356 445 460 628 712 785 890 920 1256 1570 1657 1780 2047 3140 3314 3560 3611 4094 6280 6628 7222 8188 8285 10235 13256 13973 14444 16376 16570 18055 20470 27946 28888 33140 36110 38111 40940 55892 66280 69865 72220 76222 81880 111784 139730 144440 147473 152444 190555 260149 279460 294946 304888 321379 381110 520298 558920 589892 642758 737365 762220 1040596 1179784 1285516 1300745 1474730 1524440 1606895 2081192 2571032 2601490 2949460 3213790 3391879 5202980 5898920 5983427 6427580 6783758 10405960 11966854 12855160 13567516 16959395 23153261 23933708 27135032 29917135 33918790 46306522 47867416 59834270 67837580 92613044 115766305 119668540 135675160 185226088 231532610 239337080 463065220 532525003 926130440 1065050006 2130100012 2662625015 4260200024 5325250030 10650500060 21301000120