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102214314 = 23259109883
BaseRepresentation
bin1100001011110…
…10101010101010
321010100000200100
412011322222222
5202131324224
614050450230
72350543626
oct605725252
9233300610
10102214314
1152774144
122a293976
131823a657
14d80a186
158e90ac9
hex617aaaa

102214314 has 48 divisors (see below), whose sum is σ = 227541600. Its totient is φ = 33149088.

The previous prime is 102214291. The next prime is 102214349. The reversal of 102214314 is 413412201.

102214314 is a `hidden beast` number, since 10 + 221 + 431 + 4 = 666.

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

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, 115317 + ... + 116199.

It is an arithmetic number, because the mean of its divisors is an integer number (4740450).

Almost surely, 2102214314 is an apocalyptic number.

102214314 is an abundant number, since it is smaller than the sum of its proper divisors (125327286).

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

102214314 is a wasteful number, since it uses less digits than its factorization.

102214314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102214314 is about 10110.1094949560. The cubic root of 102214314 is about 467.5598809929.

Adding to 102214314 its reverse (413412201), we get a palindrome (515626515).

It can be divided in two parts, 10221 and 4314, that added together give a triangular number (14535 = T170).

The spelling of 102214314 in words is "one hundred two million, two hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 59 109 118 177 218 327 354 531 654 883 981 1062 1766 1962 2649 5298 6431 7947 12862 15894 19293 38586 52097 57879 96247 104194 115758 156291 192494 288741 312582 468873 577482 866223 937746 1732446 5678573 11357146 17035719 34071438 51107157 102214314