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320232232023 = 311172140923831
BaseRepresentation
bin1001010100011110101…
…01000001010001010111
31010121120112102220102220
410222033111001101113
520221313422411043
6403040200033423
732064440026464
oct4521725012127
91117515386386
10320232232023
1111389a823710
1252091162873
1324275667732
14116dc1da66b
1584e39ee483
hex4a8f541457

320232232023 has 48 divisors (see below), whose sum is σ = 495175576320. Its totient is φ = 182526361600.

The previous prime is 320232232009. The next prime is 320232232043.

320232232023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320232232023 - 24 = 320232232007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320232231984 and 320232232002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320232232043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13425718 + ... + 13449548.

It is an arithmetic number, because the mean of its divisors is an integer number (10316157840).

Almost surely, 2320232232023 is an apocalyptic number.

320232232023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

320232232023 is a deficient number, since it is larger than the sum of its proper divisors (174943344297).

320232232023 is a wasteful number, since it uses less digits than its factorization.

320232232023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25288 (or 25271 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 320232 and 232023, that added together give a palindrome (552255).

The spelling of 320232232023 in words is "three hundred twenty billion, two hundred thirty-two million, two hundred thirty-two thousand, twenty-three".

Divisors: 1 3 11 17 33 51 187 289 561 867 1409 3179 4227 9537 15499 23831 23953 46497 71493 71859 262141 263483 405127 407201 786423 790449 1215381 1221603 4456397 4479211 6887159 13369191 13437633 20661477 33577879 75758749 100733637 227276247 369356669 570823943 1108070007 1712471829 6279063373 9704007031 18837190119 29112021093 106744077341 320232232023