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100105500510486 = 23317761143294857
BaseRepresentation
bin10110110000101110100000…
…110011000100100100010110
3111010102222210110010202102000
4112300232200303010210112
5101110112031112313421
6552523455420500130
730041245423526412
oct2660564063044426
9433388713122360
10100105500510486
1129995560325209
12b2891496aa646
1343b1ba63b7803
141aa11bc5bdd42
15b88e9187a226
hex5b0ba0cc4916

100105500510486 has 64 divisors (see below), whose sum is σ = 235851872679360. Its totient is φ = 31364378081280.

The previous prime is 100105500510473. The next prime is 100105500510517. The reversal of 100105500510486 is 684015005501001.

100105500510486 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 5 + 50 + 0 + 510 + 4 + 86 = 666.

It is a super-2 number, since 2×1001055005104862 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100105500510486.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70948831 + ... + 72346026.

It is an arithmetic number, because the mean of its divisors is an integer number (3685185510615).

Almost surely, 2100105500510486 is an apocalyptic number.

100105500510486 is an abundant number, since it is smaller than the sum of its proper divisors (135746372168874).

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

100105500510486 is a wasteful number, since it uses less digits than its factorization.

100105500510486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143295646 (or 143295640 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 100105500510486 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred ten thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 761 918 1522 2283 4566 6849 12937 13698 20547 25874 38811 41094 77622 116433 232866 349299 698598 143294857 286589714 429884571 859769142 1289653713 2436012569 2579307426 3868961139 4872025138 7308037707 7737922278 14616075414 21924113121 43848226242 65772339363 109047386177 131544678726 218094772354 327142158531 654284317062 981426475593 1853805565009 1962852951186 2944279426779 3707611130018 5561416695027 5888558853558 11122833390054 16684250085081 33368500170162 50052750255243 100105500510486