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13032211003032 = 23313411931527591
BaseRepresentation
bin1011110110100100110001…
…0011101011011010011000
31201010212102012012000121210
42331221030103223122120
53202004432004044112
643414525354103120
72513355223534254
oct275511423533230
951125365160553
1013032211003032
114174a253a9061
12156589111aaa0
13736c17135120
14330a95d73264
15178ee7452b3c
hexbda4c4eb698

13032211003032 has 128 divisors (see below), whose sum is σ = 35961177208320. Its totient is φ = 3910075008000.

The previous prime is 13032211002989. The next prime is 13032211003043. The reversal of 13032211003032 is 23030011223031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24437557 + ... + 24965147.

It is an arithmetic number, because the mean of its divisors is an integer number (280946696940).

Almost surely, 213032211003032 is an apocalyptic number.

13032211003032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13032211003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980588604160).

13032211003032 is an abundant number, since it is smaller than the sum of its proper divisors (22928966205288).

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

13032211003032 is a wasteful number, since it uses less digits than its factorization.

13032211003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529585 (or 529581 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13032211003032 its reverse (23030011223031), we get a palindrome (36062222226063).

The spelling of 13032211003032 in words is "thirteen trillion, thirty-two billion, two hundred eleven million, three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 1931 2132 3198 3862 4264 5793 6396 7724 11586 12792 15448 23172 25103 46344 50206 75309 79171 100412 150618 158342 200824 237513 301236 316684 475026 527591 602472 633368 950052 1029223 1055182 1582773 1900104 2058446 2110364 3087669 3165546 4116892 4220728 6175338 6331092 6858683 8233784 12350676 12662184 13717366 20576049 21631231 24701352 27434732 41152098 43262462 54869464 64893693 82304196 86524924 129787386 164608392 173049848 259574772 281206003 519149544 562412006 843618009 1018778221 1124824012 1687236018 2037556442 2249648024 3056334663 3374472036 4075112884 6112669326 6748944072 8150225768 12225338652 13244116873 24450677304 26488233746 39732350619 41769907061 52976467492 79464701238 83539814122 105952934984 125309721183 158929402476 167079628244 250619442366 317858804952 334159256488 501238884732 543008791793 1002477769464 1086017583586 1629026375379 2172035167172 3258052750758 4344070334344 6516105501516 13032211003032