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112002032112 = 243151104914731
BaseRepresentation
bin110100001001111010…
…1110110000111110000
3101201002121120202010120
41220103311312013300
53313340010011422
6123241504130240
711043341364525
oct1502365660760
9351077522116
10112002032112
1143555255503
1219859306980
13a73c2061a9
1455c704b14c
152da7c5c45c
hex1a13d761f0

112002032112 has 80 divisors (see below), whose sum is σ = 291552172800. Its totient is φ = 37048896000.

The previous prime is 112002032089. The next prime is 112002032123. The reversal of 112002032112 is 211230200211.

It is a junction number, because it is equal to n+sod(n) for n = 112002032091 and 112002032100.

It is a congruent number.

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, 7595787 + ... + 7610517.

It is an arithmetic number, because the mean of its divisors is an integer number (3644402160).

Almost surely, 2112002032112 is an apocalyptic number.

112002032112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112002032112 is an abundant number, since it is smaller than the sum of its proper divisors (179550140688).

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

112002032112 is a wasteful number, since it uses less digits than its factorization.

112002032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15942 (or 15936 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 112002032112 its reverse (211230200211), we get a palindrome (323232232323).

The spelling of 112002032112 in words is "one hundred twelve billion, two million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 151 302 453 604 906 1049 1208 1812 2098 2416 3147 3624 4196 6294 7248 8392 12588 14731 16784 25176 29462 44193 50352 58924 88386 117848 158399 176772 235696 316798 353544 475197 633596 707088 950394 1267192 1900788 2224381 2534384 3801576 4448762 6673143 7603152 8897524 13346286 15452819 17795048 26692572 30905638 35590096 46358457 53385144 61811276 92716914 106770288 123622552 185433828 247245104 370867656 741735312 2333375669 4666751338 7000127007 9333502676 14000254014 18667005352 28000508028 37334010704 56001016056 112002032112