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113120022112 = 2561731097283
BaseRepresentation
bin110100101011001111…
…0101000111001100000
3101210222112021112002121
41221112132220321200
53323132211201422
6123544442354024
711113135215556
oct1512636507140
9353875245077
10113120022112
1143a79337989
1219b0b7bb914
13a889a15436
14569170dbd6
152e20e988c7
hex1a567a8e60

113120022112 has 96 divisors (see below), whose sum is σ = 231593614560. Its totient is φ = 54359838720.

The previous prime is 113120022097. The next prime is 113120022131. The reversal of 113120022112 is 211220021311.

It is a super-2 number, since 2×1131200221122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 15528423 + ... + 15535705.

It is an arithmetic number, because the mean of its divisors is an integer number (2412433485).

Almost surely, 2113120022112 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 113120022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115796807280).

113120022112 is an abundant number, since it is smaller than the sum of its proper divisors (118473592448).

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

113120022112 is a wasteful number, since it uses less digits than its factorization.

113120022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7536 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 113120022112 its reverse (211220021311), we get a palindrome (324340043423).

The spelling of 113120022112 in words is "one hundred thirteen billion, one hundred twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 73 109 122 146 218 244 292 436 488 584 872 976 1168 1744 1952 2336 3488 4453 6649 7283 7957 8906 13298 14566 15914 17812 26596 29132 31828 35624 53192 58264 63656 71248 106384 116528 127312 142496 212768 233056 254624 444263 485377 531659 793847 888526 970754 1063318 1587694 1777052 1941508 2126636 3175388 3554104 3883016 4253272 6350776 7108208 7766032 8506544 12701552 14216416 15532064 17013088 25403104 32431199 48424667 57950831 64862398 96849334 115901662 129724796 193698668 231803324 259449592 387397336 463606648 518899184 774794672 927213296 1037798368 1549589344 1854426592 3535000691 7070001382 14140002764 28280005528 56560011056 113120022112