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131020140100340 = 22512894150806237
BaseRepresentation
bin11101110010100110000000…
…111010001011101011110100
3122011220101212211120211001002
4131302212000322023223310
5114133113221331202330
61142353453232422432
736411615132403301
oct3562460072135364
9564811784524032
10131020140100340
1138824369442647
12128406b79a7a18
1358151b926c55a
14244d5a135a0a8
151023204001e45
hex772980e8baf4

131020140100340 has 24 divisors (see below), whose sum is σ = 275144433488232. Its totient is φ = 52407648558720.

The previous prime is 131020140100271. The next prime is 131020140100357. The reversal of 131020140100340 is 43001041020131.

It can be written as a sum of positive squares in 4 ways, for example, as 7330642890256 + 123689497210084 = 2707516^2 + 11121578^2 .

It is a super-2 number, since 2×1310201401003402 (a number of 29 digits) contains 22 as substring.

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

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, 22824299 + ... + 27981938.

It is an arithmetic number, because the mean of its divisors is an integer number (11464351395343).

Almost surely, 2131020140100340 is an apocalyptic number.

131020140100340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020140100340 is an abundant number, since it is smaller than the sum of its proper divisors (144124293387892).

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

131020140100340 is a wasteful number, since it uses less digits than its factorization.

131020140100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50935187 (or 50935185 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131020140100340 its reverse (43001041020131), we get a palindrome (174021181120471).

The spelling of 131020140100340 in words is "one hundred thirty-one trillion, twenty billion, one hundred forty million, one hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 128941 257882 515764 644705 1289410 2578820 50806237 101612474 203224948 254031185 508062370 1016124740 6551007005017 13102014010034 26204028020068 32755035025085 65510070050170 131020140100340