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113553532314131 = 72137914927535501
BaseRepresentation
bin11001110100011010111101…
…111101001110001000010011
3112220001121111220112002110212
4121310122331331032020103
5104340430113233023011
61041301434513514335
732626654250023100
oct3164327575161023
9486047456462425
10113553532314131
11331aa867725298
121089b5282729ab
134b4908a760840
14200803d95baa7
15d1dbc45c108b
hex6746bdf4e213

113553532314131 has 96 divisors (see below), whose sum is σ = 145100416608000. Its totient is φ = 88063911936000.

The previous prime is 113553532314119. The next prime is 113553532314143. The reversal of 113553532314131 is 131413235355311.

It is an interprime number because it is at equal distance from previous prime (113553532314119) and next prime (113553532314143).

It is not a de Polignac number, because 113553532314131 - 222 = 113553528119827 is a prime.

It is a super-2 number, since 2×1135535323141312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113553532314161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20642340881 + ... + 20642346381.

It is an arithmetic number, because the mean of its divisors is an integer number (1511462673000).

Almost surely, 2113553532314131 is an apocalyptic number.

113553532314131 is a deficient number, since it is larger than the sum of its proper divisors (31546884293869).

113553532314131 is a wasteful number, since it uses less digits than its factorization.

113553532314131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8509 (or 8502 counting only the distinct ones).

The product of its digits is 243000, while the sum is 41.

Adding to 113553532314131 its reverse (131413235355311), we get a palindrome (244966767669442).

The spelling of 113553532314131 in words is "one hundred thirteen trillion, five hundred fifty-three billion, five hundred thirty-two million, three hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 7 13 49 79 91 149 553 637 1027 1043 1937 2753 3871 5501 7189 7301 11771 13559 19271 35789 38507 50323 71513 82397 94913 134897 153023 217487 250523 269549 410197 434579 500591 576779 819649 1071161 1522409 1753661 2827331 2871379 3042053 3504137 5332561 5649527 5737543 7498127 10655437 10656863 15144253 19791317 20099653 21294371 32405563 37327927 39546689 40162801 64752271 74588059 106009771 138539219 196875289 226838941 261295489 276826823 421272319 453265897 522116413 742068397 841779523 1196395987 1378127023 1587872587 2256493697 2948906233 3172861279 5892456661 8374771909 9646889161 15553147831 15795455879 20642343631 29334418061 41247196627 58623403363 108872034817 110568191153 178263002063 205340926427 762104243719 1247841014441 1437386484989 2317419026819 8734887101087 16221933187733 113553532314131