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10101113120 = 255753170167
BaseRepresentation
bin10010110100001001…
…01100000100100000
3222001222000201020202
421122010230010200
5131141341104440
64350153524332
7505213021250
oct113204540440
928058021222
1010101113120
1143138a687a
121b5aa136a8
13c4c930817
146bb763960
153e1bd2615
hex25a12c120

10101113120 has 96 divisors (see below), whose sum is σ = 27787753728. Its totient is φ = 3397874688.

The previous prime is 10101113083. The next prime is 10101113213. The reversal of 10101113120 is 2131110101.

It is a happy number.

It is a super-2 number, since 2×101011131202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25724 + ... + 144443.

It is an arithmetic number, because the mean of its divisors is an integer number (289455768).

Almost surely, 210101113120 is an apocalyptic number.

10101113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101113120 is an abundant number, since it is smaller than the sum of its proper divisors (17686640608).

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

10101113120 is a wasteful number, since it uses less digits than its factorization.

10101113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170242 (or 170234 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10101113120 its reverse (2131110101), we get a palindrome (12232223221).

The spelling of 10101113120 in words is "ten billion, one hundred one million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 70 80 106 112 140 160 212 224 265 280 371 424 530 560 742 848 1060 1120 1484 1696 1855 2120 2968 3710 4240 5936 7420 8480 11872 14840 29680 59360 170167 340334 680668 850835 1191169 1361336 1701670 2382338 2722672 3403340 4764676 5445344 5955845 6806680 9018851 9529352 11911690 13613360 18037702 19058704 23823380 27226720 36075404 38117408 45094255 47646760 63131957 72150808 90188510 95293520 126263914 144301616 180377020 190587040 252527828 288603232 315659785 360754040 505055656 631319570 721508080 1010111312 1262639140 1443016160 2020222624 2525278280 5050556560 10101113120