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102202432040 = 23597193136481
BaseRepresentation
bin101111100101110111…
…1010101101000101000
3100202210122220111000202
41133023233111220220
53133302310311130
6114541240451332
710245446224112
oct1371357255050
9322718814022
10102202432040
113a386676975
1217983479b48
139839bb3077
144d377723b2
1529d2787145
hex17cbbd5a28

102202432040 has 64 divisors (see below), whose sum is σ = 233531620560. Its totient is φ = 40249589760.

The previous prime is 102202432027. The next prime is 102202432043. The reversal of 102202432040 is 40234202201.

It can be written as a sum of positive squares in 8 ways, for example, as 5567248996 + 96635183044 = 74614^2 + 310862^2 .

It is a super-2 number, since 2×1022024320402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (102202432043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680600 + ... + 817080.

Almost surely, 2102202432040 is an apocalyptic number.

102202432040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202432040 is an abundant number, since it is smaller than the sum of its proper divisors (131329188520).

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

102202432040 is a wasteful number, since it uses less digits than its factorization.

102202432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136782 (or 136778 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 102202432040 its reverse (40234202201), we get a palindrome (142436634241).

The spelling of 102202432040 in words is "one hundred two billion, two hundred two million, four hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 97 193 194 386 388 485 772 776 965 970 1544 1930 1940 3860 3880 7720 18721 37442 74884 93605 136481 149768 187210 272962 374420 545924 682405 748840 1091848 1364810 2729620 5459240 13238657 26340833 26477314 52681666 52954628 66193285 105363332 105909256 131704165 132386570 210726664 263408330 264773140 526816660 529546280 1053633320 2555060801 5110121602 10220243204 12775304005 20440486408 25550608010 51101216020 102202432040