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102214242 = 23213233601
BaseRepresentation
bin1100001011110…
…10101001100010
321010100000120200
412011322221202
5202131323432
614050450030
72350543464
oct605725142
9233300520
10102214242
1152774089
122a293916
131823a600
14d80a134
158e90a7c
hex617aa62

102214242 has 36 divisors (see below), whose sum is σ = 239817474. Its totient is φ = 31449600.

The previous prime is 102214207. The next prime is 102214247. The reversal of 102214242 is 242412201.

It can be written as a sum of positive squares in 3 ways, for example, as 18326961 + 83887281 = 4281^2 + 9159^2 .

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 (102214247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13759 + ... + 19842.

Almost surely, 2102214242 is an apocalyptic number.

102214242 is an abundant number, since it is smaller than the sum of its proper divisors (137603232).

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

102214242 is a wasteful number, since it uses less digits than its factorization.

102214242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33635 (or 33619 counting only the distinct ones).

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

The square root of 102214242 is about 10110.1059341631. The cubic root of 102214242 is about 467.5597712095.

Adding to 102214242 its reverse (242412201), we get a palindrome (344626443).

The spelling of 102214242 in words is "one hundred two million, two hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 33601 67202 100803 201606 302409 436813 604818 873626 1310439 2620878 3931317 5678569 7862634 11357138 17035707 34071414 51107121 102214242