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131141111213403 = 34233713724415689
BaseRepresentation
bin11101110100010110101011…
…010110010110110101011011
3122012022222010112002002020000
4131310112223112112311123
5114142103443432312103
61142525221135304043
736423426663035154
oct3564265326266533
9565288115062200
10131141111213403
11388706a6490345
121286003897b023
1358237276bb625
14245539965092b
15102643437eaa3
hex7745ab596d5b

131141111213403 has 160 divisors (see below), whose sum is σ = 211600758948480. Its totient is φ = 80724853186560.

The previous prime is 131141111213383. The next prime is 131141111213473. The reversal of 131141111213403 is 304312111141131.

131141111213403 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 41 + 1 + 1 + 1 + 213 + 403 = 666.

It is not a de Polignac number, because 131141111213403 - 216 = 131141111147867 is a prime.

It is a super-2 number, since 2×1311411112134032 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131141111213473) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23051695383 + ... + 23051701071.

It is an arithmetic number, because the mean of its divisors is an integer number (1322504743428).

Almost surely, 2131141111213403 is an apocalyptic number.

131141111213403 is a deficient number, since it is larger than the sum of its proper divisors (80459647735077).

131141111213403 is a wasteful number, since it uses less digits than its factorization.

131141111213403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8339 (or 8330 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 131141111213403 its reverse (304312111141131), we get a palindrome (435453222354534).

The spelling of 131141111213403 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred eleven million, two hundred thirteen thousand, four hundred three".

Divisors: 1 3 9 23 27 37 69 81 111 137 207 333 411 621 851 999 1233 1863 2441 2553 2997 3151 3699 5069 5689 7323 7659 9453 11097 15207 17067 21969 22977 28359 45621 51201 56143 65907 68931 85077 90317 116587 130847 136863 153603 168429 197721 210493 255231 270951 334417 349761 392541 410589 460809 505287 631479 779393 812853 1003251 1049283 1177623 1515861 1894437 2077291 2338179 2438559 3009753 3147849 3532869 4547583 4841339 5683311 6231873 7014537 7315677 7691591 9029259 9443547 10598607 12373429 13886849 14524017 17049933 17926039 18695619 21043611 23074773 27087777 28837541 37120287 41660547 43572051 53778117 56086857 63130833 69224319 86512623 111360861 124981641 130716153 161334351 168260571 207672957 259537869 284588867 319397527 334082583 374944923 392148459 484003053 513813413 623018871 663263443 778613607 853766601 958192581 1002247749 1124834769 1452009159 1541440239 1902498313 1989790329 2335840821 2561299803 2874577743 4624320717 5707494939 5969370987 7683899409 8623733229 11817708499 13872962151 17122484817 17908112961 23051698227 25871199687 35453125497 41618886453 43757461199 51367454451 53724338883 70392437581 106359376491 131272383597 154102363353 211177312743 319078129473 393817150791 633531938229 957234388419 1181451452373 1619026064363 1900595814687 3544354357119 4857078193089 5701787444061 14571234579267 43713703737801 131141111213403