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131403022224040 = 23573719126188897
BaseRepresentation
bin11101111000001010100110…
…011101100100101010101000
3122020021000011112211222020101
4131320022212131210222220
5114210401342142132130
61143245414241235144
736451361246635360
oct3570124635445250
9566230145758211
10131403022224040
1138961788415136
12128a2952332ab4
1358423373550b8
142463d23d179a0
15102d162bdc1ca
hex7782a6764aa8

131403022224040 has 64 divisors (see below), whose sum is σ = 337984344403200. Its totient is φ = 45040350271488.

The previous prime is 131403022224011. The next prime is 131403022224041. The reversal of 131403022224040 is 40422220304131.

131403022224040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1314030222240402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (131403022224041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62053129 + ... + 64135768.

It is an arithmetic number, because the mean of its divisors is an integer number (5281005381300).

Almost surely, 2131403022224040 is an apocalyptic number.

131403022224040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131403022224040 is an abundant number, since it is smaller than the sum of its proper divisors (206581322179160).

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

131403022224040 is a wasteful number, since it uses less digits than its factorization.

131403022224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126192634 (or 126192630 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 131403022224040 its reverse (40422220304131), we get a palindrome (171825242528171).

The spelling of 131403022224040 in words is "one hundred thirty-one trillion, four hundred three billion, twenty-two million, two hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 3719 7438 14876 18595 26033 29752 37190 52066 74380 104132 130165 148760 208264 260330 520660 1041320 126188897 252377794 504755588 630944485 883322279 1009511176 1261888970 1766644558 2523777940 3533289116 4416611395 5047555880 7066578232 8833222790 17666445580 35332891160 469296507943 938593015886 1877186031772 2346482539715 3285075555601 3754372063544 4692965079430 6570151111202 9385930158860 13140302222404 16425377778005 18771860317720 26280604444808 32850755556010 65701511112020 131403022224040