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10000040120112 = 2437174117094787
BaseRepresentation
bin1001000110000101000011…
…0101101100111100110000
31022101222211222201120021110
42101201100311230330300
52302320040232320422
633133542140553320
72051323213352460
oct221412065547460
938358758646243
1010000040120112
113205aa1a46939
1211560a9252840
13576ccc564933
1426800c5b3ba0
151251cd71a60c
hex91850d6cf30

10000040120112 has 80 divisors (see below), whose sum is σ = 29540887730432. Its totient is φ = 2855513053440.

The previous prime is 10000040120107. The next prime is 10000040120131. The reversal of 10000040120112 is 21102104000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7962418 + ... + 9132369.

Almost surely, 210000040120112 is an apocalyptic number.

10000040120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000040120112 is an abundant number, since it is smaller than the sum of its proper divisors (19540847610320).

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

10000040120112 is a wasteful number, since it uses less digits than its factorization.

10000040120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17096546 (or 17096540 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10000040120112 its reverse (21102104000001), we get a palindrome (31102144120113).

The spelling of 10000040120112 in words is "ten trillion, forty million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1741 3482 5223 6964 10446 12187 13928 20892 24374 27856 36561 41784 48748 73122 83568 97496 146244 194992 292488 584976 17094787 34189574 51284361 68379148 102568722 119663509 136758296 205137444 239327018 273516592 358990527 410274888 478654036 717981054 820549776 957308072 1435962108 1914616144 2871924216 5743848432 29762024167 59524048334 89286072501 119048096668 178572145002 208334169169 238096193336 357144290004 416668338338 476192386672 625002507507 714288580008 833336676676 1250005015014 1428577160016 1666673353352 2500010030028 3333346706704 5000020060056 10000040120112