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102113332040 = 23510933769497
BaseRepresentation
bin101111100011001101…
…1011100101101001000
3100202120110020201210202
41133012123130231020
53133112003111130
6114524335031332
710243315000256
oct1370633345510
9322513221722
10102113332040
113a34034a805
121795966b548
1398245b7985
144d299bb5d6
1529c9a37145
hex17c66dcb48

102113332040 has 64 divisors (see below), whose sum is σ = 232554207600. Its totient is φ = 40349933568.

The previous prime is 102113332033. The next prime is 102113332103. The reversal of 102113332040 is 40233311201.

It can be written as a sum of positive squares in 8 ways, for example, as 26392601764 + 75720730276 = 162458^2 + 275174^2 .

It is a super-2 number, since 2×1021133320402 (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1434572 + ... + 1504068.

Almost surely, 2102113332040 is an apocalyptic number.

102113332040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102113332040 is an abundant number, since it is smaller than the sum of its proper divisors (130440875560).

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

102113332040 is a wasteful number, since it uses less digits than its factorization.

102113332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69954 (or 69950 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102113332040 its reverse (40233311201), we get a palindrome (142346643241).

The spelling of 102113332040 in words is "one hundred two billion, one hundred thirteen million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 337 436 545 674 872 1090 1348 1685 2180 2696 3370 4360 6740 13480 36733 69497 73466 138994 146932 183665 277988 293864 347485 367330 555976 694970 734660 1389940 1469320 2779880 7575173 15150346 23420489 30300692 37875865 46840978 60601384 75751730 93681956 117102445 151503460 187363912 234204890 303006920 468409780 936819560 2552833301 5105666602 10211333204 12764166505 20422666408 25528333010 51056666020 102113332040