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10111200120 = 2332574012381
BaseRepresentation
bin10010110101010110…
…01010101101111000
3222002200000012000100
421122223022231320
5131201431400440
64351154035400
7505364532360
oct113253125570
928080005010
1010111200120
11431956633a
121b62278b60
13c51a52b68
146bcc2b9a0
153e2a26230
hex25aacab78

10111200120 has 96 divisors (see below), whose sum is σ = 37555895520. Its totient is φ = 2311130880.

The previous prime is 10111200101. The next prime is 10111200139. The reversal of 10111200120 is 2100211101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10111200101) and next prime (10111200139).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2003671 + ... + 2008710.

It is an arithmetic number, because the mean of its divisors is an integer number (391207245).

Almost surely, 210111200120 is an apocalyptic number.

10111200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111200120 is an abundant number, since it is smaller than the sum of its proper divisors (27444695400).

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

10111200120 is a wasteful number, since it uses less digits than its factorization.

10111200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012405 (or 4012398 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10111200120 its reverse (2100211101), we get a palindrome (12211411221).

The spelling of 10111200120 in words is "ten billion, one hundred eleven million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 4012381 8024762 12037143 16049524 20061905 24074286 28086667 32099048 36111429 40123810 48148572 56173334 60185715 72222858 80247620 84260001 96297144 112346668 120371430 140433335 144445716 160495240 168520002 180557145 224693336 240742860 252780003 280866670 288891432 337040004 361114290 421300005 481485720 505560006 561733340 674080008 722228580 842600010 1011120012 1123466680 1263900015 1444457160 1685200020 2022240024 2527800030 3370400040 5055600060 10111200120