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131010021301100 = 22529725153809513
BaseRepresentation
bin11101110010011100100101…
…110010000001101101101100
3122011212102202122021112222212
4131302130211302001231230
5114132432010423113400
61142345101203425552
736411106313131004
oct3562344562015554
9564772678245885
10131010021301100
1138820046666a47
121283a7530852b8
135814265a88896
14244ccc1511004
151022d109c9335
hex772725c81b6c

131010021301100 has 72 divisors (see below), whose sum is σ = 288366907430448. Its totient is φ = 51657131520000.

The previous prime is 131010021301069. The next prime is 131010021301109. The reversal of 131010021301100 is 1103120010131.

It is a happy number.

It is a super-2 number, since 2×1310100213011002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131010021301109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24470057 + ... + 29339456.

It is an arithmetic number, because the mean of its divisors is an integer number (4005095936534).

Almost surely, 2131010021301100 is an apocalyptic number.

131010021301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010021301100 is an abundant number, since it is smaller than the sum of its proper divisors (157356886129348).

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

131010021301100 is a wasteful number, since it uses less digits than its factorization.

131010021301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53809875 (or 53809868 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 131010021301100 its reverse (1103120010131), we get a palindrome (132113141311231).

The spelling of 131010021301100 in words is "one hundred thirty-one trillion, ten billion, twenty-one million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 251 388 485 502 970 1004 1255 1940 2425 2510 4850 5020 6275 9700 12550 24347 25100 48694 97388 121735 243470 486940 608675 1217350 2434700 53809513 107619026 215238052 269047565 538095130 1076190260 1345237825 2690475650 5219522761 5380951300 10439045522 13506187763 20878091044 26097613805 27012375526 52195227610 54024751052 67530938815 104390455220 130488069025 135061877630 260976138050 270123755260 337654694075 521952276100 675309388150 1310100213011 1350618776300 2620200426022 5240400852044 6550501065055 13101002130110 26202004260220 32752505325275 65505010650550 131010021301100