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100538633340 = 223252851195913
BaseRepresentation
bin101110110100010010…
…0011100110001111100
3100121111201011202021200
41131220210130301330
53121400342231330
6114104203455500
710156304166045
oct1355044346174
9317451152250
10100538633340
113970248a322
121759a227590
1396332a02b2
144c1a7d18cc
152936684a60
hex176891cc7c

100538633340 has 72 divisors (see below), whose sum is σ = 305075713488. Its totient is φ = 26800761600.

The previous prime is 100538633333. The next prime is 100538633353. The reversal of 100538633340 is 43336835001.

100538633340 is a `hidden beast` number, since 10 + 0 + 5 + 3 + 8 + 633 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100538633295 and 100538633304.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 415224 + ... + 611136.

Almost surely, 2100538633340 is an apocalyptic number.

100538633340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100538633340 is an abundant number, since it is smaller than the sum of its proper divisors (204537080148).

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

100538633340 is a wasteful number, since it uses less digits than its factorization.

100538633340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198779 (or 198774 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 100538633340 in words is "one hundred billion, five hundred thirty-eight million, six hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2851 5702 8553 11404 14255 17106 25659 28510 34212 42765 51318 57020 85530 102636 128295 171060 195913 256590 391826 513180 587739 783652 979565 1175478 1763217 1959130 2350956 2938695 3526434 3918260 5877390 7052868 8816085 11754780 17632170 35264340 558547963 1117095926 1675643889 2234191852 2792739815 3351287778 5026931667 5585479630 6702575556 8378219445 10053863334 11170959260 16756438890 20107726668 25134658335 33512877780 50269316670 100538633340