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117145862100 = 223252971341877
BaseRepresentation
bin110110100011001101…
…1111111111111010100
3102012101002121101100100
41231012123333333110
53404403320041400
6125452134214100
711314661253441
oct1550633777724
9365332541310
10117145862100
1145754870073
121a853ab4330
13b07bab3487
14595426c9c8
1530a9625100
hex1b466fffd4

117145862100 has 108 divisors (see below), whose sum is σ = 370972908124. Its totient is φ = 30916823040.

The previous prime is 117145862089. The next prime is 117145862117. The reversal of 117145862100 is 1268541711.

117145862100 is a `hidden beast` number, since 1 + 1 + 71 + 4 + 586 + 2 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 727057296 + 116418804804 = 26964^2 + 341202^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 583639 + ... + 758238.

Almost surely, 2117145862100 is an apocalyptic number.

117145862100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117145862100 is an abundant number, since it is smaller than the sum of its proper divisors (253827046024).

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

117145862100 is a wasteful number, since it uses less digits than its factorization.

117145862100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341994 (or 1341984 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 117145862100 in words is "one hundred seventeen billion, one hundred forty-five million, eight hundred sixty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 97 100 150 180 194 225 291 300 388 450 485 582 873 900 970 1164 1455 1746 1940 2425 2910 3492 4365 4850 5820 7275 8730 9700 14550 17460 21825 29100 43650 87300 1341877 2683754 4025631 5367508 6709385 8051262 12076893 13418770 16102524 20128155 24153786 26837540 33546925 40256310 48307572 60384465 67093850 80512620 100640775 120768930 130162069 134187700 201281550 241537860 260324138 301922325 390486207 402563100 520648276 603844650 650810345 780972414 1171458621 1207689300 1301620690 1561944828 1952431035 2342917242 2603241380 3254051725 3904862070 4685834484 5857293105 6508103450 7809724140 9762155175 11714586210 13016206900 19524310350 23429172420 29286465525 39048620700 58572931050 117145862100