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131034540020 = 22516214041781
BaseRepresentation
bin111101000001001000…
…1000110011111110100
3110112020000121022201212
41322002101012133310
54121324320240040
6140110232540552
712316105133006
oct1720221063764
9415200538655
10131034540020
115063164438a
122148b251758
13c4833162a7
1464b0a48376
15361dab8d65
hex1e824467f4

131034540020 has 24 divisors (see below), whose sum is σ = 275342356968. Its totient is φ = 52381468800.

The previous prime is 131034540019. The next prime is 131034540053. The reversal of 131034540020 is 20045430131.

131034540020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 72104064484 + 58930475536 = 268522^2 + 242756^2 .

It is a congruent number.

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, 1988471 + ... + 2053310.

It is an arithmetic number, because the mean of its divisors is an integer number (11472598207).

Almost surely, 2131034540020 is an apocalyptic number.

131034540020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131034540020 is an abundant number, since it is smaller than the sum of its proper divisors (144307816948).

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

131034540020 is a wasteful number, since it uses less digits than its factorization.

131034540020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043411 (or 4043409 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 131034540020 its reverse (20045430131), we get a palindrome (151079970151).

The spelling of 131034540020 in words is "one hundred thirty-one billion, thirty-four million, five hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 1621 3242 6484 8105 16210 32420 4041781 8083562 16167124 20208905 40417810 80835620 6551727001 13103454002 26206908004 32758635005 65517270010 131034540020