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112422415136 = 2510934992353
BaseRepresentation
bin110100010110011100…
…1011110101100100000
3101202011220121102020012
41220230321132230200
53320220114241021
6123351322304052
711056634522153
oct1505471365440
9352156542205
10112422415136
1143750582499
1219956058028
13a7a8333345
145626bd9c9a
152dceaea35b
hex1a2ce5eb20

112422415136 has 48 divisors (see below), whose sum is σ = 224004627000. Its totient is φ = 55535321088.

The previous prime is 112422415081. The next prime is 112422415159. The reversal of 112422415136 is 631514224211.

112422415136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 111259605136 + 1162810000 = 333556^2 + 34100^2 .

It is a super-2 number, since 2×1124224151362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1171136 + ... + 1263488.

Almost surely, 2112422415136 is an apocalyptic number.

112422415136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112422415136 is a deficient number, since it is larger than the sum of its proper divisors (111582211864).

112422415136 is a wasteful number, since it uses less digits than its factorization.

112422415136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92821 (or 92813 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

Adding to 112422415136 its reverse (631514224211), we get a palindrome (743936639347).

The spelling of 112422415136 in words is "one hundred twelve billion, four hundred twenty-two million, four hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 109 218 349 436 698 872 1396 1744 2792 3488 5584 11168 38041 76082 92353 152164 184706 304328 369412 608656 738824 1217312 1477648 2955296 10066477 20132954 32231197 40265908 64462394 80531816 128924788 161063632 257849576 322127264 515699152 1031398304 3513200473 7026400946 14052801892 28105603784 56211207568 112422415136