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133001034412230 = 23356161313173493
BaseRepresentation
bin11110001111011010110111…
…011010010011000011000110
3122102220202220202201011001000
4132033122313122103003012
5114413042104302142410
61150511455352314130
740005002422262625
oct3617326732230306
9572822822634030
10133001034412230
1139418470661146
1212b005a93a2946
135929c364b061a
1424bb3da5dd6bc
1510599dea19dc0
hex78f6b76930c6

133001034412230 has 128 divisors (see below), whose sum is σ = 361071770106240. Its totient is φ = 34828605089280.

The previous prime is 133001034412189. The next prime is 133001034412243. The reversal of 133001034412230 is 32214430100331.

It is a happy number.

133001034412230 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 10 + 3 + 4 + 412 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133001034412194 and 133001034412203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3509364 + ... + 16682856.

It is an arithmetic number, because the mean of its divisors is an integer number (2820873203955).

Almost surely, 2133001034412230 is an apocalyptic number.

133001034412230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133001034412230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180535885053120).

133001034412230 is an abundant number, since it is smaller than the sum of its proper divisors (228070735694010).

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

133001034412230 is a wasteful number, since it uses less digits than its factorization.

133001034412230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13174183 (or 13174177 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133001034412230 its reverse (32214430100331), we get a palindrome (165215464512561).

The spelling of 133001034412230 in words is "one hundred thirty-three trillion, one billion, thirty-four million, four hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 613 915 1098 1226 1647 1830 1839 2745 3065 3294 3678 5490 5517 6130 8235 9195 11034 16470 16551 18390 27585 33102 37393 55170 74786 82755 112179 165510 186965 224358 336537 373930 560895 673074 1009611 1121790 1682685 2019222 3365370 5048055 10096110 13173493 26346986 39520479 65867465 79040958 118561437 131734930 197602395 237122874 355684311 395204790 592807185 711368622 803583073 1185614370 1607166146 1778421555 2410749219 3556843110 4017915365 4821498438 7232247657 8035830730 8075351209 12053746095 14464495314 16150702418 21696742971 24107492190 24226053627 36161238285 40376756045 43393485942 48452107254 72322476570 72678160881 80753512090 108483714855 121130268135 145356321762 216967429710 218034482643 242260536270 363390804405 436068965286 492596423749 726781608810 985192847498 1090172413215 1477789271247 2180344826430 2462982118745 2955578542494 4433367813741 4925964237490 7388946356235 8866735627482 13300103441223 14777892712470 22166839068705 26600206882446 44333678137410 66500517206115 133001034412230