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320232343232023 = 19101257990165581
BaseRepresentation
bin100100011001111111110011…
…1000100000101111000010111
31112222211220122121012012102121
41020303333213010011320113
5313433141314331411043
63053024412500120411
7124311010664425045
oct11063774704057027
91488756577165377
10320232343232023
1193043857350682
122babb20b996107
131098ba1b6a0921
1459114844a3395
152704ea1353ded
hex1233fe7105e17

320232343232023 has 32 divisors (see below), whose sum is σ = 341788504812480. Its totient is φ = 299170713600000.

The previous prime is 320232343231943. The next prime is 320232343232027.

It is a happy number.

320232343232023 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 320232343232023 - 29 = 320232343231511 is a prime.

It is a super-2 number, since 2×3202323432320232 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 320232343232023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320232343232027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4882972093 + ... + 4883037673.

It is an arithmetic number, because the mean of its divisors is an integer number (10680890775390).

Almost surely, 2320232343232023 is an apocalyptic number.

320232343232023 is a deficient number, since it is larger than the sum of its proper divisors (21556161580457).

320232343232023 is a wasteful number, since it uses less digits than its factorization.

320232343232023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75859.

The product of its (nonzero) digits is 186624, while the sum is 34.

The spelling of 320232343232023 in words is "three hundred twenty trillion, two hundred thirty-two billion, three hundred forty-three million, two hundred thirty-two thousand, twenty-three".

Divisors: 1 19 101 257 1919 4883 9901 25957 65581 188119 493183 1000001 1246039 2544557 6623681 16854317 19000019 48346583 125849939 257000257 320232023 649317481 1702286017 4883004883 12337032139 32343434323 65581065581 166874592617 1246040246039 3170617259723 16854333854317 320232343232023