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13112010202320 = 2432562692904949
BaseRepresentation
bin1011111011001110000010…
…1101011101110011010000
31201102111101112110100211100
42332303200231131303100
53204311344102433240
643515324015544400
72522211556535121
oct276634055356320
951374345410740
1013112010202320
1141a5854a25637
12157924182b100
137415c3792343
143348a619c048
1517b117ea9e30
hexbece0b5dcd0

13112010202320 has 120 divisors (see below), whose sum is σ = 44041540257000. Its totient is φ = 3495977100288.

The previous prime is 13112010202309. The next prime is 13112010202351. The reversal of 13112010202320 is 2320201021131.

13112010202320 is a `hidden beast` number, since 1 + 311 + 2 + 0 + 10 + 20 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 288420554304 + 12823589648016 = 537048^2 + 3581004^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13112010202293 and 13112010202302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3061206 + ... + 5966154.

It is an arithmetic number, because the mean of its divisors is an integer number (367012835475).

Almost surely, 213112010202320 is an apocalyptic number.

13112010202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13112010202320 is an abundant number, since it is smaller than the sum of its proper divisors (30929530054680).

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

13112010202320 is a wasteful number, since it uses less digits than its factorization.

13112010202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911237 (or 2911228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13112010202320 its reverse (2320201021131), we get a palindrome (15432211223451).

The spelling of 13112010202320 in words is "thirteen trillion, one hundred twelve billion, ten million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 6269 12538 18807 25076 31345 37614 50152 56421 62690 75228 94035 100304 112842 125380 150456 188070 225684 250760 282105 300912 376140 451368 501520 564210 752280 902736 1128420 1504560 2256840 2904949 4513680 5809898 8714847 11619796 14524745 17429694 23239592 26144541 29049490 34859388 43574235 46479184 52289082 58098980 69718776 87148470 104578164 116197960 130722705 139437552 174296940 209156328 232395920 261445410 348593880 418312656 522890820 697187760 1045781640 2091563280 18211125281 36422250562 54633375843 72844501124 91055626405 109266751686 145689002248 163900127529 182111252810 218533503372 273166879215 291378004496 327800255058 364222505620 437067006744 546333758430 655600510116 728445011240 819500637645 874134013488 1092667516860 1311201020232 1456890022480 1639001275290 2185335033720 2622402040464 3278002550580 4370670067440 6556005101160 13112010202320