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101012202212220 = 2232513192271979357
BaseRepresentation
bin10110111101111010111100…
…011011100100101101111100
3111020122200011001100120010200
4112331322330123210231330
5101214440442231242340
6554500210505003500
730163614352035105
oct2675727433445574
9436580131316120
10101012202212220
112a205041847782
12b3b4a12183590
1344495434264b0
141ad3033a733ac
15ba285c3eb330
hex5bdebc6e4b7c

101012202212220 has 144 divisors (see below), whose sum is σ = 347340204251040. Its totient is φ = 23555881963008.

The previous prime is 101012202212161. The next prime is 101012202212231. The reversal of 101012202212220 is 22212202210101.

It is a happy number.

101012202212220 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 220 + 221 + 2 + 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 = 101012202212193 and 101012202212202.

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, 1135945219 + ... + 1136034138.

Almost surely, 2101012202212220 is an apocalyptic number.

101012202212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012202212220 is an abundant number, since it is smaller than the sum of its proper divisors (246328002038820).

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

101012202212220 is a wasteful number, since it uses less digits than its factorization.

101012202212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271979404 (or 2271979399 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101012202212220 its reverse (22212202210101), we get a palindrome (123224404422321).

The spelling of 101012202212220 in words is "one hundred one trillion, twelve billion, two hundred two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 44460 2271979357 4543958714 6815938071 9087917428 11359896785 13631876142 20447814213 22719793570 27263752284 29535731641 34079690355 40895628426 43167607783 45439587140 59071463282 68159380710 81791256852 86335215566 88607194923 102239071065 118142926564 129502823349 136318761420 147678658205 172670431132 177214389846 204478142130 215838038915 259005646698 265821584769 295357316410 354428779692 388508470047 408956284260 431676077830 443035974615 518011293396 531643169538 561178901179 590714632820 647514116745 777016940094 863352155660 886071949230 1063286339076 1122357802358 1295028233490 1329107923845 1554033880188 1683536703537 1772143898460 1942542350235 2244715604716 2590056466980 2658215847690 2805894505895 3367073407074 3885084700470 5050610110611 5316431695380 5611789011790 6734146814148 7770169400940 8417683517685 10101220221222 11223578023580 16835367035370 20202440442444 25253050553055 33670734070740 50506101106110 101012202212220