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320130031023 = 3211232923320807
BaseRepresentation
bin1001010100010010011…
…11001001110110101111
31010121022102010120000200
410222021033021312233
520221111241443043
6403022105324543
732062056236415
oct4521117116657
91117272116020
10320130031023
11113848069580
1252062a96753
132425a43317a
14116cc7d52b5
1584d9a627d3
hex4a893c9daf

320130031023 has 96 divisors (see below), whose sum is σ = 546894167040. Its totient is φ = 178405624320.

The previous prime is 320130031021. The next prime is 320130031031.

320130031023 is a `hidden beast` number, since 32 + 0 + 1 + 300 + 310 + 23 = 666.

320130031023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320130031023 - 21 = 320130031021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320130030987 and 320130031005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320130031021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15375286 + ... + 15396092.

It is an arithmetic number, because the mean of its divisors is an integer number (5696814240).

Almost surely, 2320130031023 is an apocalyptic number.

320130031023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

320130031023 is a deficient number, since it is larger than the sum of its proper divisors (226764136017).

320130031023 is a wasteful number, since it uses less digits than its factorization.

320130031023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21109 (or 21106 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 3201300 and 31023, that added together give a palindrome (3232323).

The spelling of 320130031023 in words is "three hundred twenty billion, one hundred thirty million, thirty-one thousand, twenty-three".

Divisors: 1 3 9 11 23 29 33 69 87 99 207 233 253 261 319 667 699 759 957 2001 2097 2277 2563 2871 5359 6003 6757 7337 7689 16077 20271 20807 22011 23067 48231 58949 60813 62421 66033 74327 155411 176847 187263 222981 228877 466233 478561 530541 603403 668943 686631 1398699 1435683 1709521 1810209 2059893 4307049 4848031 5128563 5264171 5430627 6637433 13878269 14544093 15385689 15792513 19912299 41634807 43632279 47377539 53328341 59736897 111504713 124904421 140592899 152660959 159985023 334514139 421778697 457982877 479955069 1003542417 1226551843 1265336091 1373948631 1546521889 3233636677 3679655529 4639565667 9700910031 11038966587 13918697001 29102730093 35570003447 106710010341 320130031023