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320242162112231 = 31834311127925603
BaseRepresentation
bin100100011010000100011000…
…0010100001001011011100111
31112222212211222220010222220112
41020310020300110021123213
5313433321422000042411
63053033115052523235
7124311506212506002
oct11064106024113347
91488784886128815
10320242162112231
1193047a358a8707
122bb010b018051b
131098c9249b4608
145911b3655a539
152705378386b8b
hex12342305096e7

320242162112231 has 32 divisors (see below), whose sum is σ = 335374415953920. Its totient is φ = 305428490776800.

The previous prime is 320242162112183. The next prime is 320242162112239. The reversal of 320242162112231 is 132211261242023.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-320242162112231 is a prime.

It is a super-2 number, since 2×3202421621122312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320242162112239) 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, 12507980876 + ... + 12508006478.

It is an arithmetic number, because the mean of its divisors is an integer number (10480450498560).

Almost surely, 2320242162112231 is an apocalyptic number.

320242162112231 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

320242162112231 is a deficient number, since it is larger than the sum of its proper divisors (15132253841689).

320242162112231 is a wasteful number, since it uses less digits than its factorization.

320242162112231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37427.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 320242162112231 in words is "three hundred twenty trillion, two hundred forty-two billion, one hundred sixty-two million, one hundred twelve thousand, two hundred thirty-one".

Divisors: 1 31 83 431 2573 11279 13361 25603 35773 349649 793693 936157 1108963 2125049 4861249 11034893 29020867 65876519 150698719 288776237 342081683 403483667 915896119 8952063347 12507993677 23968427671 28392779689 124462558147 743021257801 3858339302557 10330392326201 320242162112231