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201222000222102 = 232431012574027173
BaseRepresentation
bin101101110000001010100101…
…110110000001111110010110
3222101110122011011122020200200
4231300022211312001332112
5202333310124024101402
61551544035531121330
760245544514653006
oct5560124566017626
9871418134566620
10201222000222102
115912a853307982
121a69a2088a3246
1388381cb775992
1437992a7d4a006
15183e3a53ee21c
hexb702a5d81f96

201222000222102 has 48 divisors (see below), whose sum is σ = 450537124319568. Its totient is φ = 64865484734400.

The previous prime is 201222000222049. The next prime is 201222000222127.

201222000222102 is a `hidden beast` number, since 20 + 122 + 200 + 0 + 222 + 102 = 666.

201222000222102 is nontrivially palindromic in base 10.

201222000222102 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1286935413 + ... + 1287091760.

It is an arithmetic number, because the mean of its divisors is an integer number (9386190089991).

Almost surely, 2201222000222102 is an apocalyptic number.

201222000222102 is an abundant number, since it is smaller than the sum of its proper divisors (249315124097466).

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

201222000222102 is a wasteful number, since it uses less digits than its factorization.

201222000222102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574027325 (or 2574027322 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 201222000 and 222102, that added together give a palindrome (201444102).

The spelling of 201222000222102 in words is "two hundred one trillion, two hundred twenty-two billion, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 43 86 101 129 202 258 303 387 606 774 909 1818 4343 8686 13029 26058 39087 78174 2574027173 5148054346 7722081519 15444163038 23166244557 46332489114 110683168439 221366336878 259976744473 332049505317 519953488946 664099010634 779930233419 996148515951 1559860466838 1992297031902 2339790700257 4679581400514 11179000012339 22358000024678 33537000037017 67074000074034 100611000111051 201222000222102