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102212211000221 = 717267799545639
BaseRepresentation
bin10111001111011000100010…
…100001110100001110011101
3111101220101120201121010222122
4113033120202201310032131
5101344121102004001341
61001215350321552325
730346405605322130
oct2717304241641635
9441811521533878
10102212211000221
112a627a56496383
12b5694b27a56a5
13450575479a1aa
141b35151408217
15bc3b92c7094b
hex5cf62287439d

102212211000221 has 48 divisors (see below), whose sum is σ = 127535859609600. Its totient is φ = 80198021299968.

The previous prime is 102212211000197. The next prime is 102212211000247. The reversal of 102212211000221 is 122000112212201.

It is not a de Polignac number, because 102212211000221 - 26 = 102212211000157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 102212211000221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212211002221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5934920 + ... + 15480558.

It is an arithmetic number, because the mean of its divisors is an integer number (2656997075200).

Almost surely, 2102212211000221 is an apocalyptic number.

It is an amenable number.

102212211000221 is a deficient number, since it is larger than the sum of its proper divisors (25323648609379).

102212211000221 is an equidigital number, since it uses as much as digits as its factorization.

102212211000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9545826 (or 9545809 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102212211000221 its reverse (122000112212201), we get a palindrome (224212323212422).

The spelling of 102212211000221 in words is "one hundred two trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 7 17 67 79 119 289 469 553 1139 1343 2023 5293 7973 9401 19363 22831 37051 89981 135541 159817 629867 1529677 9545639 10707739 66819473 162275863 639557813 754105481 1135931041 2758689671 4476904691 5278738367 10872482821 12819793177 19310827697 50525067227 76107379747 89738552239 184832207957 217936484009 353675470589 858926142859 1293825455699 1525555388063 6012483000013 14601744428603 102212211000221