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102202202142 = 2351311605287
BaseRepresentation
bin101111100101110111…
…0011101100000011110
3100202210122110210200000
41133023232131200132
53133302230432032
6114541231515130
710245444245625
oct1371356354036
9322718423600
10102202202142
113a38652a177
1217983388aa6
139839b32531
144d377126bc
1529d273de7c
hex17cbb9d81e

102202202142 has 48 divisors (see below), whose sum is σ = 231392633472. Its totient is φ = 33807323160.

The previous prime is 102202202101. The next prime is 102202202147. The reversal of 102202202142 is 241202202201.

102202202142 is a `hidden beast` number, since 10 + 220 + 220 + 214 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202202147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738978 + ... + 866309.

It is an arithmetic number, because the mean of its divisors is an integer number (4820679864).

Almost surely, 2102202202142 is an apocalyptic number.

102202202142 is an abundant number, since it is smaller than the sum of its proper divisors (129190431330).

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

102202202142 is a wasteful number, since it uses less digits than its factorization.

102202202142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605435 (or 1605423 counting only the distinct ones).

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

Adding to 102202202142 its reverse (241202202201), we get a palindrome (343404404343).

The spelling of 102202202142 in words is "one hundred two billion, two hundred two million, two hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 243 262 393 486 786 1179 2358 3537 7074 10611 21222 31833 63666 1605287 3210574 4815861 9631722 14447583 28895166 43342749 86685498 130028247 210292597 260056494 390084741 420585194 630877791 780169482 1261755582 1892633373 3785266746 5677900119 11355800238 17033700357 34067400714 51101101071 102202202142