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13102033022320 = 2451126959552271
BaseRepresentation
bin1011111010101000111000…
…0001100010110101110000
31201101112122012122002212011
42332222032001202311300
53204130430423203240
643510554010212304
72521406410105564
oct276521601426560
951345565562764
1013102033022320
1141a15a5087630
121577318424094
13740693734a38
143341db0996a4
1517ac321086ea
hexbea8e062d70

13102033022320 has 80 divisors (see below), whose sum is σ = 33232812963840. Its totient is φ = 4764190291200.

The previous prime is 13102033022159. The next prime is 13102033022327. The reversal of 13102033022320 is 2322033020131.

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

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 = 13102033022291 and 13102033022300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102033022327) 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, 23447785 + ... + 24000055.

It is an arithmetic number, because the mean of its divisors is an integer number (415410162048).

Almost surely, 213102033022320 is an apocalyptic number.

13102033022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102033022320 is an abundant number, since it is smaller than the sum of its proper divisors (20130779941520).

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

13102033022320 is a wasteful number, since it uses less digits than its factorization.

13102033022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579254 (or 579248 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13102033022320 its reverse (2322033020131), we get a palindrome (15424066042451).

The spelling of 13102033022320 in words is "thirteen trillion, one hundred two billion, thirty-three million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 26959 53918 107836 134795 215672 269590 296549 431344 539180 552271 593098 1078360 1104542 1186196 1482745 2156720 2209084 2372392 2761355 2965490 4418168 4744784 5522710 5930980 6074981 8836336 11045420 11861960 12149962 22090840 23723920 24299924 30374905 44181680 48599848 60749810 97199696 121499620 242999240 485998480 14888673889 29777347778 59554695556 74443369445 119109391112 148886738890 163775412779 238218782224 297773477780 327550825558 595546955560 655101651116 818877063895 1191093911120 1310203302232 1637754127790 2620406604464 3275508255580 6551016511160 13102033022320