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131012011323314 = 211212891505327901
BaseRepresentation
bin11101110010011110011100…
…011001010110111110110010
3122011212121220022212011021022
4131302132130121112332302
5114133000044344321224
61142350030452455442
736411206526055022
oct3562363431267662
9564777808764238
10131012011323314
1138820977a09100
121283b00961a582
1358144c214b514
14244d02d92da82
151022dca56a65e
hex77279c656fb2

131012011323314 has 48 divisors (see below), whose sum is σ = 216197093974680. Its totient is φ = 59498629344000.

The previous prime is 131012011323289. The next prime is 131012011323329. The reversal of 131012011323314 is 413323110210131.

It can be written as a sum of positive squares in 4 ways, for example, as 119700338785225 + 11311672538089 = 10940765^2 + 3363283^2 .

It is a super-2 number, since 2×1310120113233142 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4695588764 + ... + 4695616664.

Almost surely, 2131012011323314 is an apocalyptic number.

131012011323314 is a deficient number, since it is larger than the sum of its proper divisors (85185082651366).

131012011323314 is a wasteful number, since it uses less digits than its factorization.

131012011323314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44267 (or 44256 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 131012011323314 its reverse (413323110210131), we get a palindrome (544335121533445).

The spelling of 131012011323314 in words is "one hundred thirty-one trillion, twelve billion, eleven million, three hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 11 22 121 242 1289 2578 14179 15053 27901 28358 30106 55802 155969 165583 306911 311938 331166 613822 1821413 3376021 3642826 6752042 19403317 35964389 38806634 71928778 213436487 395608279 419993753 426872974 791216558 839987506 2347801357 4351691069 4619931283 4695602714 8703382138 9239862566 50819244113 101638488226 541371947617 1082743895234 5955091423787 11910182847574 65506005661657 131012011323314