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102303131130 = 23253737278243
BaseRepresentation
bin101111101000110111…
…1011110010111111010
3100210001200101112012200
41133101233132113322
53134004100144010
6114555235051030
710251111160344
oct1372157362772
9323050345180
10102303131130
113a4284a5662
12179b1140a76
139854a0cb25
144d46ca6294
1529db528cc0
hex17d1bde5fa

102303131130 has 96 divisors (see below), whose sum is σ = 273283455744. Its totient is φ = 26533173888.

The previous prime is 102303131123. The next prime is 102303131173. The reversal of 102303131130 is 31131303201.

It is a happy number.

102303131130 is a `hidden beast` number, since 10 + 230 + 313 + 113 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12406789 + ... + 12415031.

It is an arithmetic number, because the mean of its divisors is an integer number (2846702664).

Almost surely, 2102303131130 is an apocalyptic number.

102303131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102303131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136641727872).

102303131130 is an abundant number, since it is smaller than the sum of its proper divisors (170980324614).

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

102303131130 is a wasteful number, since it uses less digits than its factorization.

102303131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12020 (or 12017 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 102303131130 its reverse (31131303201), we get a palindrome (133434434331).

The spelling of 102303131130 in words is "one hundred two billion, three hundred three million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 3727 7454 8243 11181 16486 18635 22362 24729 33543 37270 41215 49458 55905 67086 74187 82430 111810 123645 137899 148374 167715 247290 275798 304991 335430 370935 413697 609982 689495 741870 827394 914973 1241091 1378990 1524955 1829946 2068485 2482182 2744919 3049910 4136970 4574865 5489838 6205455 9149730 12410910 13724595 27449190 30721661 61443322 92164983 153608305 184329966 276494949 307216610 460824915 552989898 921649830 1136701457 1382474745 2273402914 2764949490 3410104371 5683507285 6820208742 10230313113 11367014570 17050521855 20460626226 34101043710 51151565565 102303131130