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13131525122232 = 23311732269300299
BaseRepresentation
bin1011111100010110101111…
…1000111110100010111000
31201111100202120020000021220
42333011223320332202320
53210121330412402412
643532312300232040
72523502301605266
oct277055370764270
951440676200256
1013131525122232
114203059658820
121580b8923b620
137433b3809c2a
143357d7c93436
1517b8ab35868c
hexbf16be3e8b8

13131525122232 has 128 divisors (see below), whose sum is σ = 36319963680000. Its totient is φ = 3922996976640.

The previous prime is 13131525122207. The next prime is 13131525122251. The reversal of 13131525122232 is 23222152513131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13131525122193 and 13131525122202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43578019 + ... + 43878317.

It is an arithmetic number, because the mean of its divisors is an integer number (283749716250).

Almost surely, 213131525122232 is an apocalyptic number.

13131525122232 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 13131525122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18159981840000).

13131525122232 is an abundant number, since it is smaller than the sum of its proper divisors (23188438557768).

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

13131525122232 is a wasteful number, since it uses less digits than its factorization.

13131525122232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302661 (or 302657 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

Adding to 13131525122232 its reverse (23222152513131), we get a palindrome (36353677635363).

The spelling of 13131525122232 in words is "thirteen trillion, one hundred thirty-one billion, five hundred twenty-five million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2269 2409 3212 4538 4818 6424 6807 9076 9636 13614 18152 19272 24959 27228 49918 54456 74877 99836 149754 165637 199672 299508 300299 331274 496911 599016 600598 662548 900897 993822 1201196 1325096 1801794 1822007 1987644 2402392 3303289 3603588 3644014 3975288 5466021 6606578 7207176 7288028 9909867 10932042 13213156 14576056 19819734 21864084 21921827 26426312 39639468 43728168 43843654 65765481 79278936 87687308 131530962 175374616 241140097 263061924 482280194 526123848 681378431 723420291 964560388 1362756862 1446840582 1929120776 2044135293 2725513724 2893681164 4088270586 5451027448 5787362328 7495162741 8176541172 14990325482 16353082344 22485488223 29980650964 44970976446 49740625463 59961301928 89941952892 99481250926 149221876389 179883905784 198962501852 298443752778 397925003704 547146880093 596887505556 1094293760186 1193775011112 1641440640279 2188587520372 3282881280558 4377175040744 6565762561116 13131525122232