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102113213313332 = 221337238922215737
BaseRepresentation
bin10111001101111100010101…
…110011100111000100110100
3111101112221001101222120211202
4113031330111303213010310
5101341010330102011312
61001102055041552032
730336302422010234
oct2715742563470464
9441487041876752
10102113213313332
112a599a74913a21
12b552284645618
1344c9308827740
141b3043d537cc4
15bc12eba229c2
hex5cdf15ce7134

102113213313332 has 48 divisors (see below), whose sum is σ = 197728065865680. Its totient is φ = 45836217418752.

The previous prime is 102113213313283. The next prime is 102113213313413. The reversal of 102113213313332 is 233313312311201.

It can be written as a sum of positive squares in 8 ways, for example, as 3996184910116 + 98117028403216 = 1999046^2 + 9905404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102113213313295 and 102113213313304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6511433 + ... + 15704304.

It is an arithmetic number, because the mean of its divisors is an integer number (4119334705535).

Almost surely, 2102113213313332 is an apocalyptic number.

It is an amenable number.

102113213313332 is a deficient number, since it is larger than the sum of its proper divisors (95614852552348).

102113213313332 is a wasteful number, since it uses less digits than its factorization.

102113213313332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22218180 (or 22218178 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 102113213313332 its reverse (233313312311201), we get a palindrome (335426525624533).

The spelling of 102113213313332 in words is "one hundred two trillion, one hundred thirteen billion, two hundred thirteen million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 37 52 74 148 481 962 1924 2389 4778 9556 31057 62114 88393 124228 176786 353572 1149109 2298218 4596436 22215737 44431474 88862948 288804581 577609162 821982269 1155218324 1643964538 3287929076 10685769497 21371538994 42743077988 53073395693 106146791386 212293582772 689954144009 1379908288018 1963715640641 2759816576036 3927431281282 7854862562564 25528303328333 51056606656666 102113213313332