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230311040113032 = 23355691723162747
BaseRepresentation
bin110100010111011101110111…
…101110111101100110001000
31010012110112001101011200202220
4310113131313232331212020
5220141404002232104112
62133455233045454040
766340265163241014
oct6427356756754610
91105415041150686
10230311040113032
11674253aaa46a5a
12219b79a5411320
139b6831285a498
1440c3184465544
151b95dba88b98c
hexd17777bbd988

230311040113032 has 32 divisors (see below), whose sum is σ = 575880990381600. Its totient is φ = 76756561357824.

The previous prime is 230311040112961. The next prime is 230311040113061.

230311040113032 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 = 230311040112993 and 230311040113011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 861447718 + ... + 861715029.

It is an arithmetic number, because the mean of its divisors is an integer number (17996280949425).

Almost surely, 2230311040113032 is an apocalyptic number.

It is an amenable number.

230311040113032 is an abundant number, since it is smaller than the sum of its proper divisors (345569950268568).

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

230311040113032 is a wasteful number, since it uses less digits than its factorization.

230311040113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723168325 (or 1723168321 counting only the distinct ones).

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

The spelling of 230311040113032 in words is "two hundred thirty trillion, three hundred eleven billion, forty million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 5569 11138 16707 22276 33414 44552 66828 133656 1723162747 3446325494 5169488241 6892650988 10338976482 13785301976 20677952964 41355905928 9596293338043 19192586676086 28788880014129 38385173352172 57577760028258 76770346704344 115155520056516 230311040113032