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135300020310431 = 17192914444327993
BaseRepresentation
bin11110110000110111111101…
…101001100001000110011111
3122202001120000001021022121022
4132300313331221201012133
5120213223420144413211
61155431545442554355
740333050430060334
oct3660677551410637
9582046001238538
10135300020310431
113a124464223569
12132120730689bb
135a65977739852
14255a7ad65298b
1510996e613bbdb
hex7b0dfda6119f

135300020310431 has 16 divisors (see below), whose sum is σ = 155998742335200. Its totient is φ = 116479060927488.

The previous prime is 135300020310401. The next prime is 135300020310437. The reversal of 135300020310431 is 134013020003531.

It is a cyclic number.

It is not a de Polignac number, because 135300020310431 - 234 = 135282840441247 is a prime.

It is a super-2 number, since 2×1353000203104312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135300020310431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135300020310437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7222154630 + ... + 7222173363.

It is an arithmetic number, because the mean of its divisors is an integer number (9749921395950).

Almost surely, 2135300020310431 is an apocalyptic number.

135300020310431 is a deficient number, since it is larger than the sum of its proper divisors (20698722024769).

135300020310431 is a wasteful number, since it uses less digits than its factorization.

135300020310431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14444328058.

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 135300020310431 its reverse (134013020003531), we get a palindrome (269313040313962).

The spelling of 135300020310431 in words is "one hundred thirty-five trillion, three hundred billion, twenty million, three hundred ten thousand, four hundred thirty-one".

Divisors: 1 17 19 29 323 493 551 9367 14444327993 245553575881 274442231867 418885511797 4665517941739 7121053700549 7958824724143 135300020310431