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131011132002320 = 2454458713672899
BaseRepresentation
bin11101110010011101100111…
…111111000001000000010000
3122011212112122001021000122002
4131302131213333001000100
5114132441244243033240
61142345403321533132
736411145661003663
oct3562354777010020
9564775561230562
10131011132002320
1138820566620239
121283aa030441a8
1358143b1c1533b
14244cd88c376da
151022d78275d15
hex772767fc1010

131011132002320 has 40 divisors (see below), whose sum is σ = 304601647996800. Its totient is φ = 52404321000320.

The previous prime is 131011132002301. The next prime is 131011132002337. The reversal of 131011132002320 is 23200231110131.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 131011132002292 and 131011132002301.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33833231 + ... + 37506129.

It is an arithmetic number, because the mean of its divisors is an integer number (7615041199920).

Almost surely, 2131011132002320 is an apocalyptic number.

131011132002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011132002320 is an abundant number, since it is smaller than the sum of its proper divisors (173590515994480).

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

131011132002320 is a wasteful number, since it uses less digits than its factorization.

131011132002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118783 (or 4118777 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131011132002320 its reverse (23200231110131), we get a palindrome (154211363112451).

The spelling of 131011132002320 in words is "one hundred thirty-one trillion, eleven billion, one hundred thirty-two million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 445871 891742 1783484 2229355 3566968 3672899 4458710 7133936 7345798 8917420 14691596 17834840 18364495 29383192 35669680 36728990 58766384 73457980 146915960 293831920 1637639150029 3275278300058 6550556600116 8188195750145 13101113200232 16376391500290 26202226400464 32752783000580 65505566001160 131011132002320