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134310013431 = 311337909091
BaseRepresentation
bin111110100010110000…
…0000010100111110111
3110211200021222121112220
41331011200002213313
54200031330412211
6141411241413423
712463220164116
oct1750540024767
9424607877486
10134310013431
1151a62557000
122204419a273
13c885abba39
146701a7bc7d
153761424806
hex1f458029f7

134310013431 has 32 divisors (see below), whose sum is σ = 202298424576. Its totient is φ = 79199920800.

The previous prime is 134310013403. The next prime is 134310013433.

134310013431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134310013431 - 211 = 134310011383 is a prime.

It is a super-2 number, since 2×1343100134312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134310013433) 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 31 ways as a sum of consecutive naturals, for example, 306805 + ... + 602286.

It is an arithmetic number, because the mean of its divisors is an integer number (6321825768).

Almost surely, 2134310013431 is an apocalyptic number.

134310013431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134310013431 is a deficient number, since it is larger than the sum of its proper divisors (67988411145).

134310013431 is an equidigital number, since it uses as much as digits as its factorization.

134310013431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909164 (or 909142 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1343100 and 13431, that multiplied together give a square (18039176100 = 1343102).

The spelling of 134310013431 in words is "one hundred thirty-four billion, three hundred ten million, thirteen thousand, four hundred thirty-one".

Divisors: 1 3 11 33 37 111 121 363 407 1221 1331 3993 4477 13431 49247 147741 909091 2727273 10000001 30000003 33636367 100909101 110000011 330000033 370000037 1110000111 1210000121 3630000363 4070000407 12210001221 44770004477 134310013431