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230113202311032 = 23337846730605467
BaseRepresentation
bin110100010100100101100111…
…101011101000111101111000
31010011202121101201110001022220
4310110211213223220331320
5220130133314242423112
62133224313515044040
766320062445541165
oct6424454753507570
91104677351401286
10230113202311032
1167359508736157
1221985591a40620
139b52774495711
1440b77775c106c
151b90b8c16898c
hexd14967ae8f78

230113202311032 has 64 divisors (see below), whose sum is σ = 590900994894720. Its totient is φ = 74622492044928.

The previous prime is 230113202311001. The next prime is 230113202311051.

230113202311032 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 230113202310993 and 230113202311011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7784038 + ... + 22821429.

It is an arithmetic number, because the mean of its divisors is an integer number (9232828045230).

Almost surely, 2230113202311032 is an apocalyptic number.

It is an amenable number.

230113202311032 is an abundant number, since it is smaller than the sum of its proper divisors (360787792583688).

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

230113202311032 is a wasteful number, since it uses less digits than its factorization.

230113202311032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30613980 (or 30613976 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 23011320 and 2311032, that added together give a palindrome (25322352).

The spelling of 230113202311032 in words is "two hundred thirty trillion, one hundred thirteen billion, two hundred two million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 8467 16934 25401 33868 50802 67736 101604 203208 313279 626558 939837 1253116 1879674 2506232 3759348 7518696 30605467 61210934 91816401 122421868 183632802 244843736 367265604 734531208 1132402279 2264804558 3397206837 4529609116 6794413674 9059218232 13588827348 27177654696 259136489089 518272978178 777409467267 1036545956356 1554818934534 2073091912712 3109637869068 6219275738136 9588050096293 19176100192586 28764150288879 38352200385172 57528300577758 76704400770344 115056601155516 230113202311032