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131312001040 = 24511149218183
BaseRepresentation
bin111101001001011001…
…1100010000000010000
3110112221100200210200221
41322102303202000100
54122411333013130
6140153543522424
712326014410163
oct1722263420020
9415840623627
10131312001040
1150764223a10
1221548159414
13c4c89520cc
1464d9831ada
15363812487a
hex1e92ce2010

131312001040 has 40 divisors (see below), whose sum is σ = 333054986688. Its totient is φ = 47749818240.

The previous prime is 131312001019. The next prime is 131312001077. The reversal of 131312001040 is 40100213131.

131312001040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1313120010402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74608212 + ... + 74609971.

Almost surely, 2131312001040 is an apocalyptic number.

131312001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131312001040 is an abundant number, since it is smaller than the sum of its proper divisors (201742985648).

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

131312001040 is a wasteful number, since it uses less digits than its factorization.

131312001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149218207 (or 149218201 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131312001040 its reverse (40100213131), we get a palindrome (171412214171).

The spelling of 131312001040 in words is "one hundred thirty-one billion, three hundred twelve million, one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 149218183 298436366 596872732 746090915 1193745464 1492181830 1641400013 2387490928 2984363660 3282800026 5968727320 6565600052 8207000065 11937454640 13131200104 16414000130 26262400208 32828000260 65656000520 131312001040