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221020202201112 = 233323421910544861
BaseRepresentation
bin110010010000010001000110…
…101000111111000000011000
31001222120022202220112010202000
4302100101012220333000120
5212432143333230413422
62102023140145241000
764361116436065116
oct6220210650770030
91058508686463660
10221020202201112
1164473161180a56
1220957242633160
1396431670911b2
143c816133a6ab6
151a84399048cac
hexc90446a3f018

221020202201112 has 128 divisors (see below), whose sum is σ = 640790174016000. Its totient is φ = 70453499656320.

The previous prime is 221020202201087. The next prime is 221020202201131. The reversal of 221020202201112 is 211102202020122.

It is a happy number.

221020202201112 is a `hidden beast` number, since 221 + 0 + 202 + 0 + 220 + 11 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15687562 + ... + 26232422.

It is an arithmetic number, because the mean of its divisors is an integer number (5006173234500).

Almost surely, 2221020202201112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221020202201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320395087008000).

221020202201112 is an abundant number, since it is smaller than the sum of its proper divisors (419769971814888).

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

221020202201112 is a wasteful number, since it uses less digits than its factorization.

221020202201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10549118 (or 10549108 counting only the distinct ones).

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

Adding to 221020202201112 its reverse (211102202020122), we get a palindrome (432122404221234).

The spelling of 221020202201112 in words is "two hundred twenty-one trillion, twenty billion, two hundred two million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4219 4968 8438 12657 16876 25314 33752 37971 50628 75942 97037 101256 113913 151884 194074 227826 291111 303768 388148 455652 582222 776296 873333 911304 1164444 1746666 2328888 2619999 3493332 5239998 6986664 10479996 10544861 20959992 21089722 31634583 42179444 63269166 84358888 94903749 126538332 189807498 242531803 253076664 284711247 379614996 485063606 569422494 727595409 759229992 970127212 1138844988 1455190818 1940254424 2182786227 2277689976 2910381636 4365572454 5820763272 6548358681 8731144908 13096717362 17462289816 26193434724 44488768559 52386869448 88977537118 133466305677 177955074236 266932611354 355910148472 400398917031 533865222708 800797834062 1023241676857 1067730445416 1201196751093 1601595668124 2046483353714 2402393502186 3069725030571 3203191336248 4092966707428 4804787004372 6139450061142 8185933414856 9209175091713 9609574008744 12278900122284 18418350183426 24557800244568 27627525275139 36836700366852 55255050550278 73673400733704 110510101100556 221020202201112