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13131321120240 = 2435291886684069
BaseRepresentation
bin1011111100010101111110…
…1110110001010111110000
31201111100020100100122011120
42333011133232301113300
53210120421201321430
643532240131542240
72523464243612301
oct277053756612760
951440210318146
1013131321120240
114202a64492034
121580b30a5a980
137433804811ab
143357b8b4c7a8
1517b8984ad610
hexbf15fbb15f0

13131321120240 has 80 divisors (see below), whose sum is σ = 42110788442400. Its totient is φ = 3380937849856.

The previous prime is 13131321120223. The next prime is 13131321120241. The reversal of 13131321120240 is 4202112313131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131313211202402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13131321120240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131321120241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943335075 + ... + 943348994.

It is an arithmetic number, because the mean of its divisors is an integer number (526384855530).

Almost surely, 213131321120240 is an apocalyptic number.

13131321120240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131321120240 is an abundant number, since it is smaller than the sum of its proper divisors (28979467322160).

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

13131321120240 is a wasteful number, since it uses less digits than its factorization.

13131321120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886684114 (or 1886684108 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13131321120240 its reverse (4202112313131), we get a palindrome (17333433433371).

The spelling of 13131321120240 in words is "thirteen trillion, one hundred thirty-one billion, three hundred twenty-one million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 1886684069 3773368138 5660052207 7546736276 9433420345 11320104414 15093472552 18866840690 22640208828 28300261035 30186945104 37733681380 45280417656 54713838001 56600522070 75467362760 90560835312 109427676002 113201044140 150934725520 164141514003 218855352004 226402088280 273569190005 328283028006 437710704008 452804176560 547138380010 656566056012 820707570015 875421408016 1094276760020 1313132112024 1641415140030 2188553520040 2626264224048 3282830280060 4377107040080 6565660560120 13131321120240