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13031231113120 = 2551131323655299
BaseRepresentation
bin1011110110100001000111…
…1001101100011110100000
31201010202212220100110100211
42331220101321230132200
53202000430131104440
643414244231423504
72513322024601333
oct275502171543640
951122786313324
1013031231113120
114174572270290
121565658b24b94
13736abc1194cc
14330a01b7c61a
15178e8b3e4eea
hexbda11e6c7a0

13031231113120 has 96 divisors (see below), whose sum is σ = 33692338411200. Its totient is φ = 4723489904640.

The previous prime is 13031231113049. The next prime is 13031231113141. The reversal of 13031231113120 is 2131113213031.

13031231113120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130312311131202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13031231113091 and 13031231113100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11276770 + ... + 12378529.

It is an arithmetic number, because the mean of its divisors is an integer number (350961858450).

Almost surely, 213031231113120 is an apocalyptic number.

13031231113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13031231113120 is an abundant number, since it is smaller than the sum of its proper divisors (20661107298080).

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

13031231113120 is a wasteful number, since it uses less digits than its factorization.

13031231113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23655638 (or 23655630 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13031231113120 its reverse (2131113213031), we get a palindrome (15162344326151).

The spelling of 13031231113120 in words is "thirteen trillion, thirty-one billion, two hundred thirty-one million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 313 352 440 626 880 1252 1565 1760 2504 3130 3443 5008 6260 6886 10016 12520 13772 17215 25040 27544 34430 50080 55088 68860 110176 137720 275440 550880 23655299 47310598 94621196 118276495 189242392 236552990 260208289 378484784 473105980 520416578 756969568 946211960 1040833156 1301041445 1892423920 2081666312 2602082890 3784847840 4163332624 5204165780 7404108587 8326665248 10408331560 14808217174 20816663120 29616434348 37020542935 41633326240 59232868696 74041085870 81445194457 118465737392 148082171740 162890388914 236931474784 296164343480 325780777828 407225972285 592328686960 651561555656 814451944570 1184657373920 1303123111312 1628903889140 2606246222624 3257807778280 6515615556560 13031231113120