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13023311112300 = 22352139312309619
BaseRepresentation
bin1011110110000011100111…
…0101010010100001101100
31201010000102221110201201010
42331200321311102201230
53201333220121043200
643410454310345220
72512621534652046
oct275407165224154
951100387421633
1013023311112300
114171178673465
12156400865b210
137361293362a8
1433048dd7aa96
15178b75e4d150
hexbd839d5286c

13023311112300 has 72 divisors (see below), whose sum is σ = 37951865022400. Its totient is φ = 3447898182720.

The previous prime is 13023311112289. The next prime is 13023311112311. The reversal of 13023311112300 is 321111332031.

It is a happy number.

13023311112300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13023311112289) and next prime (13023311112311).

It is a super-2 number, since 2×130233111123002 (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 23 ways as a sum of consecutive naturals, for example, 156113110 + ... + 156196509.

Almost surely, 213023311112300 is an apocalyptic number.

13023311112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13023311112300 is an abundant number, since it is smaller than the sum of its proper divisors (24928553910100).

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

13023311112300 is a wasteful number, since it uses less digits than its factorization.

13023311112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312309775 (or 312309768 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13023311112300 its reverse (321111332031), we get a palindrome (13344422444331).

The spelling of 13023311112300 in words is "thirteen trillion, twenty-three billion, three hundred eleven million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 139 150 278 300 417 556 695 834 1390 1668 2085 2780 3475 4170 6950 8340 10425 13900 20850 41700 312309619 624619238 936928857 1249238476 1561548095 1873857714 3123096190 3747715428 4684644285 6246192380 7807740475 9369288570 15615480950 18738577140 23423221425 31230961900 43411037041 46846442850 86822074082 93692885700 130233111123 173644148164 217055185205 260466222246 434110370410 520932444492 651165555615 868220740820 1085275926025 1302331111230 2170551852050 2604662222460 3255827778075 4341103704100 6511655556150 13023311112300