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345401121131 = 11229370137049
BaseRepresentation
bin1010000011010111000…
…00101101100101101011
31020000112121010221112222
411001223200231211223
521124340141334011
6422401452424255
733645235042103
oct5015340554553
91200477127488
10345401121131
11123535a23610
1256b3617808b
1326756b84721
1412a08b88203
158eb8432ddb
hex506b82d96b

345401121131 has 16 divisors (see below), whose sum is σ = 378559116000. Its totient is φ = 312536928000.

The previous prime is 345401121101. The next prime is 345401121157. The reversal of 345401121131 is 131121104543.

It is not a de Polignac number, because 345401121131 - 222 = 345396926827 is a prime.

It is a super-2 number, since 2×3454011211312 (a number of 24 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 345401121131.

It is not an unprimeable number, because it can be changed into a prime (345401121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9304295 + ... + 9341343.

It is an arithmetic number, because the mean of its divisors is an integer number (23659944750).

Almost surely, 2345401121131 is an apocalyptic number.

345401121131 is a deficient number, since it is larger than the sum of its proper divisors (33157994869).

345401121131 is a wasteful number, since it uses less digits than its factorization.

345401121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40990.

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 345401121131 its reverse (131121104543), we get a palindrome (476522225674).

The spelling of 345401121131 in words is "three hundred forty-five billion, four hundred one million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 11 229 2519 3701 37049 40711 407539 847529 8484221 9322819 93326431 137118349 1508301839 31400101921 345401121131