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13112113020132 = 22372180131373947
BaseRepresentation
bin1011111011001110011011…
…0101101011110011100100
31201102111122200221001100110
42332303212311223303210
53204312101413121012
643515342131413020
72522214245504400
oct276634665536344
951374580831313
1013112113020132
1141a58a7a71135
121579270154170
1374160bb81599
143348b5ac4100
1517b12201973c
hexbece6d6bce4

13112113020132 has 144 divisors (see below), whose sum is σ = 35630158713408. Its totient is φ = 3742095974400.

The previous prime is 13112113020107. The next prime is 13112113020173. The reversal of 13112113020132 is 23102031121131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13112113020099 and 13112113020108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3322043383 + ... + 3322047329.

It is an arithmetic number, because the mean of its divisors is an integer number (247431657732).

Almost surely, 213112113020132 is an apocalyptic number.

13112113020132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13112113020132 is an abundant number, since it is smaller than the sum of its proper divisors (22518045693276).

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

13112113020132 is a wasteful number, since it uses less digits than its factorization.

13112113020132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8906 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13112113020132 its reverse (23102031121131), we get a palindrome (36214144141263).

The spelling of 13112113020132 in words is "thirteen trillion, one hundred twelve billion, one hundred thirteen million, twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1801 3137 3602 3947 5403 6274 7204 7894 9411 10806 11841 12548 12607 15788 18822 21612 21959 23682 25214 27629 37644 37821 43918 47364 50428 55258 65877 75642 82887 87836 88249 110516 131754 151284 153713 165774 176498 193403 263508 264747 307426 331548 352996 386806 461139 529494 580209 614852 773612 922278 1058988 1160418 1844556 2320836 5649737 7108547 11299474 12381739 14217094 16949211 21325641 22598948 24763478 28434188 33898422 37145217 39548159 42651282 49526956 49759829 67796844 74290434 79096318 85302564 86672173 99519658 118644477 148580868 149279487 158192636 173344346 199039316 237288954 260016519 276837113 298558974 346688692 348318803 474577908 520033038 553674226 597117948 606705211 696637606 830511339 1040066076 1044956409 1107348452 1213410422 1393275212 1661022678 1820115633 2089912818 2426820844 3322045356 3640231266 4179825636 7280462532 22299511939 44599023878 66898535817 89198047756 133797071634 156096583573 267594143268 312193167146 468289750719 624386334292 936579501438 1092676085011 1873159002876 2185352170022 3278028255033 4370704340044 6556056510066 13112113020132