Search a number
-
+
221020220210112 = 2634231853698841
BaseRepresentation
bin110010010000010001000111…
…101101101011101111000000
31001222120022211011102002110000
4302100101013231223233000
5212432143402333210422
62102023142031240000
764361120045132361
oct6220210755535700
91058508734362400
10221020220210112
1164473170361424
1220957248679000
13964316aa282cb
143c81615933b68
151a8439a904cac
hexc90447b6bbc0

221020220210112 has 140 divisors (see below), whose sum is σ = 683658962520336. Its totient is φ = 70470215101440.

The previous prime is 221020220210047. The next prime is 221020220210129. The reversal of 221020220210112 is 211012022020122.

It is a happy number.

221020220210112 is a `hidden beast` number, since 2 + 210 + 20 + 220 + 210 + 1 + 1 + 2 = 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 19 ways as a sum of consecutive naturals, for example, 926730189 + ... + 926968652.

Almost surely, 2221020220210112 is an apocalyptic number.

It is an amenable number.

221020220210112 is an abundant number, since it is smaller than the sum of its proper divisors (462638742310224).

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

221020220210112 is a wasteful number, since it uses less digits than its factorization.

221020220210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853698888 (or 1853698869 counting only the distinct ones).

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

Adding to 221020220210112 its reverse (211012022020122), we get a palindrome (432032242230234).

The spelling of 221020220210112 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 3312 3726 4416 4968 5184 6624 7452 9936 13248 14904 19872 29808 39744 59616 119232 1853698841 3707397682 5561096523 7414795364 11122193046 14829590728 16683289569 22244386092 29659181456 33366579138 42635073343 44488772184 50049868707 59318362912 66733158276 85270146686 88977544368 100099737414 118636725824 127905220029 133466316552 150149606121 170540293372 177955088736 200199474828 255810440058 266932633104 300299212242 341080586744 355910177472 383715660087 400398949656 511620880116 533865266208 600598424484 682161173488 767431320174 800797899312 1023241760232 1067730532416 1151146980261 1201196848968 1364322346976 1534862640348 1601595798624 2046483520464 2302293960522 2402393697936 2728644693952 3069725280696 3203191597248 3453440940783 4092967040928 4604587921044 4804787395872 6139450561392 6906881881566 8185934081856 9209175842088 9609574791744 12278901122784 13813763763132 18418351684176 24557802245568 27627527526264 36836703368352 55255055052528 73673406736704 110510110105056 221020220210112