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21220111212210 = 23256123511644079
BaseRepresentation
bin1001101001100101100010…
…01100001101111010110010
32210010121211000222001100200
410310302301030031322302
510240132241432242320
6113044215015500030
74320050065142451
oct464626114157262
983117730861320
1021220111212210
116841442632569
122468724387616
13bac0813143c1
145350b773ab98
1526beb5459290
hex134cb130deb2

21220111212210 has 96 divisors (see below), whose sum is σ = 56100639329280. Its totient is φ = 5563559952000.

The previous prime is 21220111212199. The next prime is 21220111212301. The reversal of 21220111212210 is 1221211102212.

21220111212210 is a `hidden beast` number, since 21 + 220 + 1 + 1 + 1 + 212 + 210 = 666.

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

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, 12084951 + ... + 13729029.

It is an arithmetic number, because the mean of its divisors is an integer number (584381659680).

Almost surely, 221220111212210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220111212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28050319664640).

21220111212210 is an abundant number, since it is smaller than the sum of its proper divisors (34880528117070).

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

21220111212210 is a wasteful number, since it uses less digits than its factorization.

21220111212210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646504 (or 1646501 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21220111212210 its reverse (1221211102212), we get a palindrome (22441322314422).

The spelling of 21220111212210 in words is "twenty-one trillion, two hundred twenty billion, one hundred eleven million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2351 2745 4702 5490 7053 11755 14106 21159 23510 35265 42318 70530 105795 143411 211590 286822 430233 717055 860466 1290699 1434110 1644079 2151165 2581398 3288158 4302330 4932237 6453495 8220395 9864474 12906990 14796711 16440790 24661185 29593422 49322370 73983555 100288819 147967110 200577638 300866457 501444095 601732914 902599371 1002888190 1504332285 1805198742 3008664570 3865229729 4512996855 7730459458 9025993710 11595689187 19326148645 23191378374 34787067561 38652297290 57978445935 69574135122 115956891870 173935337805 235779013469 347870675610 471558026938 707337040407 1178895067345 1414674080814 2122011121221 2357790134690 3536685202035 4244022242442 7073370404070 10610055606105 21220111212210