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100660161320 = 235174719316319
BaseRepresentation
bin101110110111111010…
…0000010101100101000
3100121211011212000022222
41131233310002230220
53122123000130240
6114124224333212
710162311153035
oct1355764025450
9317734760288
10100660161320
1139765045074
1217612a74208
139652510844
144c2c9c838c
15294218ceb5
hex176fd02b28

100660161320 has 128 divisors (see below), whose sum is σ = 246194380800. Its totient is φ = 36894867456.

The previous prime is 100660161307. The next prime is 100660161323. The reversal of 100660161320 is 23161066001.

It is a self number, because there is not a number n which added to its sum of digits gives 100660161320.

It is not an unprimeable number, because it can be changed into a prime (100660161323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6160121 + ... + 6176439.

It is an arithmetic number, because the mean of its divisors is an integer number (1923393600).

Almost surely, 2100660161320 is an apocalyptic number.

100660161320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100660161320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123097190400).

100660161320 is an abundant number, since it is smaller than the sum of its proper divisors (145534219480).

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

100660161320 is a wasteful number, since it uses less digits than its factorization.

100660161320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16587 (or 16583 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 100660161320 in words is "one hundred billion, six hundred sixty million, one hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 47 68 85 94 136 170 188 193 235 340 376 386 470 680 772 799 940 965 1544 1598 1880 1930 3196 3281 3860 3995 6392 6562 7720 7990 9071 13124 15980 16319 16405 18142 26248 31960 32638 32810 36284 45355 65276 65620 72568 81595 90710 130552 131240 154207 163190 181420 277423 308414 326380 362840 554846 616828 652760 766993 771035 1109692 1233656 1387115 1533986 1542070 2219384 2774230 3067972 3084140 3149567 3834965 5548460 6135944 6168280 6299134 7669930 11096920 12598268 13038881 15339860 15747835 25196536 26077762 30679720 31495670 52155524 53542639 62991340 65194405 104311048 107085278 125982680 130388810 148029649 214170556 260777620 267713195 296059298 428341112 521555240 535426390 592118596 740148245 1070852780 1184237192 1480296490 2141705560 2516504033 2960592980 5033008066 5921185960 10066016132 12582520165 20132032264 25165040330 50330080660 100660161320