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21222201012210 = 23251123752669697
BaseRepresentation
bin1001101001101001011011…
…10000001010111111110010
32210010211012200021220000200
410310310231300022333302
510240201031424342320
6113045202231300030
74320152632145022
oct464645560127762
983124180256020
1021222201012210
116842315234200
12246900821a616
13bac325270653
145352350cda82
1526c088b59290
hex134d2dc0aff2

21222201012210 has 144 divisors (see below), whose sum is σ = 62289080963928. Its totient is φ = 5005727907840.

The previous prime is 21222201012167. The next prime is 21222201012211. The reversal of 21222201012210 is 1221010222212.

It is a happy number.

21222201012210 is a `hidden beast` number, since 2 + 122 + 220 + 101 + 221 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18316713718809 + 2905487293401 = 4279803^2 + 1704549^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21222201012211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25931919 + ... + 26737778.

Almost surely, 221222201012210 is an apocalyptic number.

21222201012210 is an abundant number, since it is smaller than the sum of its proper divisors (41066879951718).

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

21222201012210 is a wasteful number, since it uses less digits than its factorization.

21222201012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52669769 (or 52669755 counting only the distinct ones).

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

Adding to 21222201012210 its reverse (1221010222212), we get a palindrome (22443211234422).

The spelling of 21222201012210 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred one million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 121 165 185 198 222 242 330 333 363 370 407 495 555 605 666 726 814 990 1089 1110 1210 1221 1665 1815 2035 2178 2442 3330 3630 3663 4070 4477 5445 6105 7326 8954 10890 12210 13431 18315 22385 26862 36630 40293 44770 67155 80586 134310 201465 402930 52669697 105339394 158009091 263348485 316018182 474027273 526696970 579366667 790045455 948054546 1158733334 1580090910 1738100001 1948778789 2370136365 2896833335 3476200002 3897557578 4740272730 5214300003 5793666670 5846336367 6373033337 8690500005 9743893945 10428600006 11692672734 12746066674 17381000010 17539009101 19119100011 19487787890 21436566679 26071500015 29231681835 31865166685 35078018202 38238200022 42873133358 52143000030 57357300033 58463363670 63730333370 64309700037 87695045505 95595500055 107182833395 114714600066 128619400074 175390091010 191191000110 192929100111 214365666790 235802233469 286786500165 321548500185 385858200222 471604466938 573573000330 643097000370 707406700407 964645500555 1179011167345 1414813400814 1929291001110 2122220101221 2358022334690 3537033502035 4244440202442 7074067004070 10611100506105 21222201012210