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102306445164 = 223272115272441
BaseRepresentation
bin101111101000111110…
…0000111011101101100
3100210001220121220012200
41133101330013131230
53134010422221124
6114555434101500
710251151302300
oct1372174073554
9323056556180
10102306445164
113a42a359530
12179b227a890
1398556003b1
144d474c9d00
1529db980bc9
hex17d1f0776c

102306445164 has 108 divisors (see below), whose sum is σ = 328177879848. Its totient is φ = 26573097600.

The previous prime is 102306445141. The next prime is 102306445271. The reversal of 102306445164 is 461544603201.

102306445164 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 644 + 5 + 1 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2616817 + ... + 2655624.

Almost surely, 2102306445164 is an apocalyptic number.

102306445164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102306445164 is an abundant number, since it is smaller than the sum of its proper divisors (225871434684).

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

102306445164 is a wasteful number, since it uses less digits than its factorization.

102306445164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5272476 (or 5272464 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 102306445164 in words is "one hundred two billion, three hundred six million, four hundred forty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 4851 6468 9702 19404 5272441 10544882 15817323 21089764 31634646 36907087 47451969 57996851 63269292 73814174 94903938 110721261 115993702 147628348 173990553 189807876 221442522 231987404 258349609 332163783 347981106 405977957 442885044 516699218 521971659 664327566 695962212 775048827 811955914 1033398436 1043943318 1217933871 1328655132 1550097654 1623911828 2087886636 2325146481 2435867742 2841845699 3100195308 3653801613 4650292962 4871735484 5683691398 7307603226 8525537097 9300585924 11367382796 14615206452 17051074194 25576611291 34102148388 51153222582 102306445164