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93201102111221 = 1321097502721797
BaseRepresentation
bin10101001100010000010010…
…100101011000000111110101
3110012222221100001110021202222
4111030100102211120013311
544204001324120024341
6530115554545212125
725426362123464216
oct2514202245300765
9405887301407688
1093201102111221
1127773402437555
12a552bb8631045
134000a98279400
141902d591c940d
15ab959419644b
hex54c4129581f5

93201102111221 has 12 divisors (see below), whose sum is σ = 101013901759332. Its totient is φ = 85953361792896.

The previous prime is 93201102111211. The next prime is 93201102111239. The reversal of 93201102111221 is 12211120110239.

It can be written as a sum of positive squares in 6 ways, for example, as 40311642231025 + 52889459880196 = 6349145^2 + 7272514^2 .

It is not a de Polignac number, because 93201102111221 - 242 = 88803055600117 is a prime.

It is a super-2 number, since 2×932011021112212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93201102111211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251175506 + ... + 251546291.

It is an arithmetic number, because the mean of its divisors is an integer number (8417825146611).

Almost surely, 293201102111221 is an apocalyptic number.

It is an amenable number.

93201102111221 is a deficient number, since it is larger than the sum of its proper divisors (7812799648111).

93201102111221 is a wasteful number, since it uses less digits than its factorization.

93201102111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502722920 (or 502722907 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 93201102111221 in words is "ninety-three trillion, two hundred one billion, one hundred two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 13 169 1097 14261 185393 502721797 6535383361 84959983693 551485811309 7169315547017 93201102111221