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221112110011020 = 223510755761833283
BaseRepresentation
bin110010010001100110101100…
…110001011101001010001100
31001222220010000010021122001120
4302101212230301131022030
5212440200100130323040
62102133300120440540
764400552132426514
oct6221465461351214
91058803003248046
10221112110011020
11644a91347a1948
1220971012319150
13964ba2321ca77
143c85c51802844
151a86977b277d0
hexc919acc5d28c

221112110011020 has 96 divisors (see below), whose sum is σ = 626021932531968. Its totient is φ = 58307300927232.

The previous prime is 221112110011007. The next prime is 221112110011021. The reversal of 221112110011020 is 20110011211122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (221112110011021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27340702 + ... + 34492581.

It is an arithmetic number, because the mean of its divisors is an integer number (6521061797208).

Almost surely, 2221112110011020 is an apocalyptic number.

221112110011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112110011020 is an abundant number, since it is smaller than the sum of its proper divisors (404909822520948).

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

221112110011020 is a wasteful number, since it uses less digits than its factorization.

221112110011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61833959 (or 61833957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221112110011020 its reverse (20110011211122), we get a palindrome (241222121222142).

The spelling of 221112110011020 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred ten million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 557 642 1070 1114 1284 1605 1671 2140 2228 2785 3210 3342 5570 6420 6684 8355 11140 16710 33420 59599 119198 178797 238396 297995 357594 595990 715188 893985 1191980 1787970 3575940 61833283 123666566 185499849 247333132 309166415 370999698 618332830 741999396 927499245 1236665660 1854998490 3709996980 6616161281 13232322562 19848483843 26464645124 33080806405 34441138631 39696967686 66161612810 68882277262 79393935372 99242419215 103323415893 132323225620 137764554524 172205693155 198484838430 206646831786 344411386310 396969676860 413293663572 516617079465 688822772620 1033234158930 2066468317860 3685201833517 7370403667034 11055605500551 14740807334068 18426009167585 22111211001102 36852018335170 44222422002204 55278027502755 73704036670340 110556055005510 221112110011020