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102201111220 = 22513797493201
BaseRepresentation
bin101111100101110101…
…0010011001010110100
3100202210120102101012111
41133023222103022310
53133301441024340
6114541152300404
710245432053245
oct1371352231264
9322716371174
10102201111220
113a38595458a
1217982b41704
13983983cb10
144d3750accc
1529d25c5aea
hex17cba932b4

102201111220 has 48 divisors (see below), whose sum is σ = 231422215248. Its totient is φ = 37688371200.

The previous prime is 102201111217. The next prime is 102201111251. The reversal of 102201111220 is 22111102201.

It can be written as a sum of positive squares in 8 ways, for example, as 30202268944 + 71998842276 = 173788^2 + 268326^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 102201111220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39381 + ... + 453820.

It is an arithmetic number, because the mean of its divisors is an integer number (4821296151).

Almost surely, 2102201111220 is an apocalyptic number.

102201111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201111220 is an abundant number, since it is smaller than the sum of its proper divisors (129221104028).

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

102201111220 is a wasteful number, since it uses less digits than its factorization.

102201111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494020 (or 494018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102201111220 its reverse (22111102201), we get a palindrome (124312213421).

The spelling of 102201111220 in words is "one hundred two billion, two hundred one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 797 1594 3188 3985 7970 10361 15940 20722 41444 51805 103610 207220 493201 986402 1972804 2466005 4932010 6411613 9864020 12823226 25646452 32058065 64116130 128232260 393081197 786162394 1572324788 1965405985 3930811970 5110055561 7861623940 10220111122 20440222244 25550277805 51100555610 102201111220