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100012113112 = 23234189148957
BaseRepresentation
bin101110100100100101…
…1111011110011011000
3100120011000102202022111
41131021023323303120
53114311100104422
6113540034402104
710140251635462
oct1351113736330
9316130382274
10100012113112
113946225993a
1217471a30334
13957b191072
144baa8d5132
15290532da77
hex17492fbcd8

100012113112 has 64 divisors (see below), whose sum is σ = 202702046400. Its totient is φ = 46140610560.

The previous prime is 100012113101. The next prime is 100012113199. The reversal of 100012113112 is 211311210001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100012113092 and 100012113101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596938 + ... + 745894.

It is an arithmetic number, because the mean of its divisors is an integer number (3167219475).

Almost surely, 2100012113112 is an apocalyptic number.

It is an amenable number.

100012113112 is an abundant number, since it is smaller than the sum of its proper divisors (102689933288).

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

100012113112 is a wasteful number, since it uses less digits than its factorization.

100012113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149116 (or 149112 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100012113112 its reverse (211311210001), we get a palindrome (311323323113).

It can be divided in two parts, 10001 and 2113112, that multiplied together give a palindrome (21133233112).

The spelling of 100012113112 in words is "one hundred billion, twelve million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 23 41 46 82 89 92 164 178 184 328 356 712 943 1886 2047 3649 3772 4094 7298 7544 8188 14596 16376 29192 83927 148957 167854 297914 335708 595828 671416 1191656 3426011 6107237 6852022 12214474 13257173 13704044 24428948 26514346 27408088 48857896 53028692 106057384 140466451 280932902 304914979 543544093 561865804 609829958 1087088186 1123731608 1219659916 2174176372 2439319832 4348352744 12501514139 25003028278 50006056556 100012113112