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101412032220 = 2232517191744273
BaseRepresentation
bin101111001110010100…
…0001100111011011100
3100200202120122000022100
41132130220030323130
53130142440012340
6114331003445100
710220041023342
oct1363450147334
9320676560270
10101412032220
113a0104a2884
12177a2826790
139742211a75
144ca07c5992
1529881a9830
hex179ca0cedc

101412032220 has 144 divisors (see below), whose sum is σ = 342854497440. Its totient is φ = 24112816128.

The previous prime is 101412032167. The next prime is 101412032231. The reversal of 101412032220 is 22230214101.

It is a happy number.

101412032220 is a `hidden beast` number, since 1 + 0 + 1 + 412 + 0 + 32 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101412032193 and 101412032202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813997 + ... + 930276.

It is an arithmetic number, because the mean of its divisors is an integer number (2380934010).

Almost surely, 2101412032220 is an apocalyptic number.

101412032220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101412032220 is an abundant number, since it is smaller than the sum of its proper divisors (241442465220).

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

101412032220 is a wasteful number, since it uses less digits than its factorization.

101412032220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744324 (or 1744319 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101412032220 its reverse (22230214101), we get a palindrome (123642246321).

The spelling of 101412032220 in words is "one hundred one billion, four hundred twelve million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 306 323 340 342 380 510 570 612 646 684 765 855 969 1020 1140 1292 1530 1615 1710 1938 2907 3060 3230 3420 3876 4845 5814 6460 9690 11628 14535 19380 29070 58140 1744273 3488546 5232819 6977092 8721365 10465638 15698457 17442730 20931276 26164095 29652641 31396914 33141187 34885460 52328190 59305282 62793828 66282374 78492285 88957923 99423561 104656380 118610564 132564748 148263205 156984570 165705935 177915846 198847122 266873769 296526410 298270683 313969140 331411870 355831692 397694244 444789615 497117805 533747538 563400179 593052820 596541366 662823740 889579230 994235610 1067495076 1126800358 1193082732 1334368845 1491353415 1690200537 1779158460 1988471220 2253600716 2668737690 2817000895 2982706830 3380401074 5070601611 5337475380 5634001790 5965413660 6760802148 8451002685 10141203222 11268003580 16902005370 20282406444 25353008055 33804010740 50706016110 101412032220