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131434301141312 = 26131391136503019
BaseRepresentation
bin11101111000100111101110…
…110101001011000101000000
3122020100222220102122121021212
4131320213232311023011000
5114211404422043010222
61143312030121105252
736453546336226121
oct3570475665130500
9566328812577255
10131434301141312
1138973a79566694
12128a8a21628228
135845280682c80
142465650156048
15102dd93c3e6e2
hex7789eed4b140

131434301141312 has 56 divisors (see below), whose sum is σ = 282898331738400. Its totient is φ = 60225567929856.

The previous prime is 131434301141263. The next prime is 131434301141327. The reversal of 131434301141312 is 213141103434131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 568135862 + ... + 568367157.

It is an arithmetic number, because the mean of its divisors is an integer number (5051755923900).

Almost surely, 2131434301141312 is an apocalyptic number.

It is an amenable number.

131434301141312 is an abundant number, since it is smaller than the sum of its proper divisors (151464030597088).

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

131434301141312 is a wasteful number, since it uses less digits than its factorization.

131434301141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136503183 (or 1136503173 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 131434301141312 its reverse (213141103434131), we get a palindrome (344575404575443).

The spelling of 131434301141312 in words is "one hundred thirty-one trillion, four hundred thirty-four billion, three hundred one million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 139 208 278 416 556 832 1112 1807 2224 3614 4448 7228 8896 14456 28912 57824 115648 1136503019 2273006038 4546012076 9092024152 14774539247 18184048304 29549078494 36368096608 59098156988 72736193216 118196313976 157973919641 236392627952 315947839282 472785255904 631895678564 945570511808 1263791357128 2053660955333 2527582714256 4107321910666 5055165428512 8214643821332 10110330857024 16429287642664 32858575285328 65717150570656 131434301141312