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21112000112 = 2474119124071
BaseRepresentation
bin10011101010010111…
…111000111001110000
32000111022221201122002
4103222113320321300
5321214133000422
613410531233132
71345114016510
oct235227707160
960438851562
1021112000112
118a541a0185
1241124487a8
131cb5b9a678
141043c69840
158386c2692
hex4ea5f8e70

21112000112 has 80 divisors (see below), whose sum is σ = 48140918784. Its totient is φ = 8780736000.

The previous prime is 21112000109. The next prime is 21112000123. The reversal of 21112000112 is 21100021112.

It is a junction number, because it is equal to n+sod(n) for n = 21112000093 and 21112000102.

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, 865037 + ... + 889107.

Almost surely, 221112000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24070459392).

21112000112 is an abundant number, since it is smaller than the sum of its proper divisors (27028918672).

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

21112000112 is a wasteful number, since it uses less digits than its factorization.

21112000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24318 (or 24312 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21112000112 its reverse (21100021112), we get a palindrome (42212021224).

The spelling of 21112000112 in words is "twenty-one billion, one hundred twelve million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 191 287 328 382 574 656 764 1148 1337 1528 2296 2674 3056 4592 5348 7831 10696 15662 21392 24071 31324 48142 54817 62648 96284 109634 125296 168497 192568 219268 336994 385136 438536 673988 877072 986911 1347976 1973822 2695952 3947644 4597561 6908377 7895288 9195122 13816754 15790576 18390244 27633508 32182927 36780488 55267016 64365854 73560976 110534032 128731708 188500001 257463416 377000002 514926832 754000004 1319500007 1508000008 2639000014 3016000016 5278000028 10556000056 21112000112