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131011113341400 = 23352223979156303
BaseRepresentation
bin11101110010011101100110…
…110111110101000111011000
3122011212112120202010221122220
4131302131212313311013120
5114132441230003411100
61142345401413544040
736411145343252655
oct3562354667650730
9564775522127586
10131011113341400
1138820557034a96
121283a9b8945020
1358143ab0b0586
14244cd8657ac2c
151022d767dbaa0
hex772766df51d8

131011113341400 has 96 divisors (see below), whose sum is σ = 407955682498560. Its totient is φ = 34779631847040.

The previous prime is 131011113341399. The next prime is 131011113341443. The reversal of 131011113341400 is 4143311110131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 489444352 + ... + 489711951.

It is an arithmetic number, because the mean of its divisors is an integer number (4249538359360).

Almost surely, 2131011113341400 is an apocalyptic number.

131011113341400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011113341400 is an abundant number, since it is smaller than the sum of its proper divisors (276944569157160).

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

131011113341400 is a wasteful number, since it uses less digits than its factorization.

131011113341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979156545 (or 979156536 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 131011113341400 its reverse (4143311110131), we get a palindrome (135154424451531).

The spelling of 131011113341400 in words is "one hundred thirty-one trillion, eleven billion, one hundred thirteen million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 223 300 446 600 669 892 1115 1338 1784 2230 2676 3345 4460 5352 5575 6690 8920 11150 13380 16725 22300 26760 33450 44600 66900 133800 979156303 1958312606 2937468909 3916625212 4895781515 5874937818 7833250424 9791563030 11749875636 14687344545 19583126060 23499751272 24478907575 29374689090 39166252120 48957815150 58749378180 73436722725 97915630300 117498756360 146873445450 195831260600 218351855569 293746890900 436703711138 587493781800 655055566707 873407422276 1091759277845 1310111133414 1746814844552 2183518555690 2620222266828 3275277833535 4367037111380 5240444533656 5458796389225 6550555667070 8734074222760 10917592778450 13101111334140 16376389167675 21835185556900 26202222668280 32752778335350 43670371113800 65505556670700 131011113341400