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113267420344 = 2313171917091973
BaseRepresentation
bin110100101111101000…
…0111010110010111000
3101211100210122010110101
41221133100322302320
53323432424422334
6124011225525144
711116605121201
oct1513720726270
9354323563411
10113267420344
1144044562401
1219b510437b4
13a8b1413020
1456a711c5a8
152e2ddb2214
hex1a5f43acb8

113267420344 has 128 divisors (see below), whose sum is σ = 255190824000. Its totient is φ = 46561665024.

The previous prime is 113267420341. The next prime is 113267420353. The reversal of 113267420344 is 443024762311.

It is a super-2 number, since 2×1132674203442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113267420341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57407742 + ... + 57409714.

Almost surely, 2113267420344 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 113267420344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127595412000).

113267420344 is an abundant number, since it is smaller than the sum of its proper divisors (141923403656).

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

113267420344 is a wasteful number, since it uses less digits than its factorization.

113267420344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 113267420344 in words is "one hundred thirteen billion, two hundred sixty-seven million, four hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 221 247 323 442 494 646 884 988 1292 1709 1768 1973 1976 2584 3418 3946 4199 6836 7892 8398 13672 15784 16796 22217 25649 29053 32471 33541 33592 37487 44434 51298 58106 64942 67082 74974 88868 102596 116212 129884 134164 149948 177736 205192 232424 259768 268328 299896 377689 422123 436033 487331 552007 637279 755378 844246 872066 974662 1104014 1274558 1510756 1688492 1744132 1949324 2208028 2549116 3021512 3371857 3376984 3488264 3898648 4416056 5098232 6743714 7176091 8284627 13487428 14352182 16569254 26974856 28704364 33138508 43834141 57321569 57408728 64065283 66277016 87668282 114643138 128130566 175336564 229286276 256261132 350673128 458572552 512522264 745180397 832848679 1089109811 1490360794 1665697358 2178219622 2980721588 3331394716 4356439244 5961443176 6662789432 8712878488 14158427543 28316855086 56633710172 113267420344