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10112014400 = 265223274783
BaseRepresentation
bin10010110101011100…
…10001100001000000
3222002201112112222212
421122232101201000
5131202133430100
64351223321252
7505404463355
oct113256214100
928081475885
1010112014400
114319a720a4
121b625b0228
13c51c79697
146bcda062c
153e2b37635
hex25ab91840

10112014400 has 84 divisors (see below), whose sum is σ = 25963790592. Its totient is φ = 3868930560.

The previous prime is 10112014373. The next prime is 10112014411. The reversal of 10112014400 is 441021101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100592 + ... + 174191.

Almost surely, 210112014400 is an apocalyptic number.

10112014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112014400 is an abundant number, since it is smaller than the sum of its proper divisors (15851776192).

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

10112014400 is a wasteful number, since it uses less digits than its factorization.

10112014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274828 (or 274813 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10112014400 its reverse (441021101), we get a palindrome (10553035501).

The spelling of 10112014400 in words is "ten billion, one hundred twelve million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 160 184 200 230 320 368 400 460 575 736 800 920 1150 1472 1600 1840 2300 3680 4600 7360 9200 18400 36800 274783 549566 1099132 1373915 2198264 2747830 4396528 5495660 6320009 6869575 8793056 10991320 12640018 13739150 17586112 21982640 25280036 27478300 31600045 43965280 50560072 54956600 63200090 87930560 101120144 109913200 126400180 158000225 202240288 219826400 252800360 316000450 404480576 439652800 505600720 632000900 1011201440 1264001800 2022402880 2528003600 5056007200 10112014400