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1023234323201 = 71731371441031
BaseRepresentation
bin11101110001111011000…
…01001011001100000001
310121211010221220100001222
432320331201023030001
5113231040441320301
62102022314404425
7133632462145436
oct16707541131401
93554127810058
101023234323201
11364a511108a2
12146387130715
137564ba6b98c
143774c0cdb8d
151b93b41031b
hexee3d84b301

1023234323201 has 16 divisors (see below), whose sum is σ = 1059538952448. Its totient is φ = 987739603200.

The previous prime is 1023234323183. The next prime is 1023234323207.

It is a happy number.

1023234323201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1023234323201 - 222 = 1023230128897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023234323207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10445 + ... + 1430586.

It is an arithmetic number, because the mean of its divisors is an integer number (66221184528).

Almost surely, 21023234323201 is an apocalyptic number.

It is an amenable number.

1023234323201 is a deficient number, since it is larger than the sum of its proper divisors (36304629247).

1023234323201 is a wasteful number, since it uses less digits than its factorization.

1023234323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441312.

The product of its (nonzero) digits is 5184, while the sum is 26.

The spelling of 1023234323201 in words is "one trillion, twenty-three billion, two hundred thirty-four million, three hundred twenty-three thousand, two hundred one".

Divisors: 1 71 73 137 5183 9727 10001 710071 1441031 102313201 105195263 197421247 7468863673 14016908537 14411751031 1023234323201