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13113013220000 = 25543971651513
BaseRepresentation
bin1011111011010001110001…
…1111101011001010100000
31201102120222102210221102022
42332310130133223022200
53204320422341020000
643520011330041012
72522245456204661
oct276643437531240
951376872727368
1013113013220000
1141a621a11a671
121579481719168
13741723517c25
1433495d493368
1517b176085585
hexbed1c7eb2a0

13113013220000 has 120 divisors (see below), whose sum is σ = 32341258450116. Its totient is φ = 5231990016000.

The previous prime is 13113013219979. The next prime is 13113013220017. The reversal of 13113013220000 is 2231031131.

It can be written as a sum of positive squares in 10 ways, for example, as 348199127056 + 12764814092944 = 590084^2 + 3572788^2 .

It is a super-2 number, since 2×131130132200002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7114244 + ... + 8765756.

Almost surely, 213113013220000 is an apocalyptic number.

13113013220000 is a gapful number since it is divisible by the number (10) 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 13113013220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170629225058).

13113013220000 is an abundant number, since it is smaller than the sum of its proper divisors (19228245230116).

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

13113013220000 is an equidigital number, since it uses as much as digits as its factorization.

13113013220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651940 (or 1651917 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13113013220000 its reverse (2231031131), we get a palindrome (13115244251131).

The spelling of 13113013220000 in words is "thirteen trillion, one hundred thirteen billion, thirteen million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 397 400 500 625 794 800 1000 1250 1588 1985 2000 2500 3176 3970 4000 5000 6352 7940 9925 10000 12704 15880 19850 20000 31760 39700 49625 63520 79400 99250 158800 198500 248125 317600 397000 496250 794000 992500 1588000 1651513 1985000 3303026 3970000 6606052 7940000 8257565 13212104 16515130 26424208 33030260 41287825 52848416 66060520 82575650 132121040 165151300 206439125 264242080 330302600 412878250 655650661 660605200 825756500 1032195625 1311301322 1321210400 1651513000 2064391250 2622602644 3278253305 3303026000 4128782500 5245205288 6556506610 6606052000 8257565000 10490410576 13113013220 16391266525 16515130000 20980821152 26226026440 32782533050 33030260000 52452052880 65565066100 81956332625 104904105760 131130132200 163912665250 262260264400 327825330500 409781663125 524520528800 655650661000 819563326250 1311301322000 1639126652500 2622602644000 3278253305000 6556506610000 13113013220000