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100325686912 = 2711613313529
BaseRepresentation
bin101110101101111100…
…0000111111010000000
3100120221212110221200221
41131123320013322000
53120431333440122
6114031115352424
710151110161013
oct1353370077200
9316855427627
10100325686912
1139603264540
121753aa52714
1395cb1322a9
144bda3dd37a
152922b1e6c7
hex175be07e80

100325686912 has 128 divisors (see below), whose sum is σ = 222344251200. Its totient is φ = 44706816000.

The previous prime is 100325686907. The next prime is 100325686927. The reversal of 100325686912 is 219686523001.

It is a tau number, because it is divible by the number of its divisors (128).

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, 28427164 + ... + 28430692.

Almost surely, 2100325686912 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 100325686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111172125600).

100325686912 is an abundant number, since it is smaller than the sum of its proper divisors (122018564288).

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

100325686912 is a wasteful number, since it uses less digits than its factorization.

100325686912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 100325686912 in words is "one hundred billion, three hundred twenty-five million, six hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 331 352 488 662 671 704 976 1324 1342 1408 1952 2648 2684 3529 3641 3904 5296 5368 7058 7282 7808 10592 10736 14116 14564 20191 21184 21472 28232 29128 38819 40382 42368 42944 56464 58256 77638 80764 85888 112928 116512 155276 161528 215269 222101 225856 233024 310552 323056 430538 444202 451712 466048 621104 646112 861076 888404 1168099 1242208 1292224 1722152 1776808 2336198 2367959 2484416 2584448 3444304 3553616 4672396 4735918 4968832 6888608 7107232 9344792 9471836 12849089 13777216 14214464 18689584 18943672 25698178 27554432 28428928 37379168 37887344 51396356 71254039 74758336 75774688 102792712 142508078 149516672 151549376 205585424 285016156 303098752 411170848 570032312 783794429 822341696 1140064624 1567588858 1644683392 2280129248 3135177716 4560258496 6270355432 9120516992 12540710864 25081421728 50162843456 100325686912