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100060610060100 = 223521942141697133
BaseRepresentation
bin10110110000000100101101…
…000111100101111101000100
3111010021200220221211121011110
4112300010231013211331010
5101103343112133410400
6552451113142405020
730035066124145644
oct2660045507457504
9433250827747143
10100060610060100
1129978514893438
12b2804bba30770
1343aa8a10b1a31
141a9cd6070a524
15b87c1587ae50
hex5b012d1e5f44

100060610060100 has 144 divisors (see below), whose sum is σ = 305469867913280. Its totient is φ = 25218425433600.

The previous prime is 100060610060003. The next prime is 100060610060101. The reversal of 100060610060100 is 1060016060001.

It is a super-2 number, since 2×1000606100601002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100060610060101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18448867 + ... + 23248266.

Almost surely, 2100060610060100 is an apocalyptic number.

100060610060100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100060610060100 is an abundant number, since it is smaller than the sum of its proper divisors (205409257853180).

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

100060610060100 is a wasteful number, since it uses less digits than its factorization.

100060610060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41697590 (or 41697583 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 100060610060100 in words is "one hundred trillion, sixty billion, six hundred ten million, sixty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 421 475 570 842 950 1140 1263 1425 1684 1900 2105 2526 2850 4210 5052 5700 6315 7999 8420 10525 12630 15998 21050 23997 25260 31575 31996 39995 42100 47994 63150 79990 95988 119985 126300 159980 199975 239970 399950 479940 599925 799900 1199850 2399700 41697133 83394266 125091399 166788532 208485665 250182798 416971330 500365596 625456995 792245527 833942660 1042428325 1250913990 1584491054 2084856650 2376736581 2501827980 3127284975 3168982108 3961227635 4169713300 4753473162 6254569950 7922455270 9506946324 11883682905 12509139900 15844910540 17554492993 19806138175 23767365810 35108985986 39612276350 47534731620 52663478979 59418414525 70217971972 79224552700 87772464965 105326957958 118836829050 175544929930 210653915916 237673658100 263317394895 333535366867 351089859860 438862324825 526634789790 667070733734 877724649650 1000606100601 1053269579580 1316586974475 1334141467468 1667676834335 1755449299300 2001212201202 2633173948950 3335353668670 4002424402404 5003030503005 5266347897900 6670707337340 8338384171675 10006061006010 16676768343350 20012122012020 25015152515025 33353536686700 50030305030050 100060610060100