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113553233205135 = 3519313110138317
BaseRepresentation
bin11001110100011010101100…
…001000001101011110001111
3112220001120202001200210001220
4121310122230020031132033
5104340424010200031020
61041301345110534423
732626643655444153
oct3164325410153617
9486046661623056
10113553233205135
11331aa7238aa279
121089b464067413
134b490407b5479
142008011d3b063
15d1dba81db240
hex6746ac20d78f

113553233205135 has 128 divisors (see below), whose sum is σ = 193455290096640. Its totient is φ = 56873249072640.

The previous prime is 113553233205101. The next prime is 113553233205149. The reversal of 113553233205135 is 531502332355311.

113553233205135 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 113553233205135 - 27 = 113553233205007 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13653143997 + ... + 13653152313.

It is an arithmetic number, because the mean of its divisors is an integer number (1511369453880).

Almost surely, 2113553233205135 is an apocalyptic number.

113553233205135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113553233205135 is a deficient number, since it is larger than the sum of its proper divisors (79902056891505).

113553233205135 is a wasteful number, since it uses less digits than its factorization.

113553233205135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9526 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 42.

The spelling of 113553233205135 in words is "one hundred thirteen trillion, five hundred fifty-three billion, two hundred thirty-three million, two hundred five thousand, one hundred thirty-five".

Divisors: 1 3 5 15 19 57 95 131 285 361 393 655 1013 1083 1805 1965 2489 3039 5065 5415 6859 7467 8317 12445 15195 19247 20577 24951 34295 37335 41585 47291 57741 96235 102885 124755 132703 141873 158023 236455 288705 365693 398109 474069 663515 709365 790115 898529 1089527 1097079 1828465 1990545 2370345 2521357 2695587 3002437 3268581 4492645 5447635 5485395 6948167 7564071 8425121 9007311 12606785 13477935 15012185 16342905 20701013 20844501 25275363 34740835 37820355 42125605 45036555 47905783 57046303 62103039 103505065 104222505 126376815 143717349 160077299 171138909 239528915 285231515 310515195 393319247 480231897 718586745 800386495 855694545 910209877 1103690851 1179957741 1966596235 2401159485 2730629631 3041468681 3311072553 4551049385 5518454255 5899788705 7473065693 9124406043 13653148155 15207343405 16555362765 20970126169 22419197079 37365328465 45622030215 57787904939 62910378507 104850630845 112095985395 173363714817 288939524695 314551892535 398432397211 866818574085 1195297191633 1992161986055 5976485958165 7570215547009 22710646641027 37851077735045 113553233205135