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64131102 = 235722693
BaseRepresentation
bin1111010010100…
…1000000011110
311110200012100000
43310221000132
5112404143402
610210315130
71406051100
oct364510036
9143605300
1064131102
1133222712
1219588aa6
13103953c9
148735570
15596bc1c
hex3d2901e

64131102 has 72 divisors (see below), whose sum is σ = 167685336. Its totient is φ = 18316368.

The previous prime is 64131097. The next prime is 64131121. The reversal of 64131102 is 20113146.

It is a happy number.

It is a super-2 number, since 2×641311022 = 8225596487468808, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22468 + ... + 25160.

It is an arithmetic number, because the mean of its divisors is an integer number (2328963).

Almost surely, 264131102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64131102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83842668).

64131102 is an abundant number, since it is smaller than the sum of its proper divisors (103554234).

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

64131102 is a wasteful number, since it uses less digits than its factorization.

64131102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 64131102 is about 8008.1896830682. The cubic root of 64131102 is about 400.2729428798.

Adding to 64131102 its reverse (20113146), we get a palindrome (84244248).

The spelling of 64131102 in words is "sixty-four million, one hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 882 1134 1323 1701 2646 2693 3402 3969 5386 7938 8079 11907 16158 18851 23814 24237 37702 48474 56553 72711 113106 131957 145422 169659 218133 263914 339318 395871 436266 508977 654399 791742 1017954 1187613 1308798 1526931 2375226 3053862 3562839 4580793 7125678 9161586 10688517 21377034 32065551 64131102