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323233120020 = 2235832782003
BaseRepresentation
bin1001011010000100011…
…00011111111100010100
31010220022200010210212210
410231002030133330110
520243440134320040
6404254035313420
732232006121206
oct4550214377424
91126280123783
10323233120020
1111509a740238
125278a14b870
13246332a01c5
1411904994776
15861c1bb480
hex4b4231ff14

323233120020 has 72 divisors (see below), whose sum is σ = 916089533856. Its totient is φ = 85156889792.

The previous prime is 323233120019. The next prime is 323233120097. The reversal of 323233120020 is 20021332323.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22339 + ... + 804341.

It is an arithmetic number, because the mean of its divisors is an integer number (12723465748).

Almost surely, 2323233120020 is an apocalyptic number.

323233120020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323233120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458044766928).

323233120020 is an abundant number, since it is smaller than the sum of its proper divisors (592856413836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323233120020 is a wasteful number, since it uses less digits than its factorization.

323233120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782181 (or 782096 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 323233120020 its reverse (20021332323), we get a palindrome (343254452343).

The spelling of 323233120020 in words is "three hundred twenty-three billion, two hundred thirty-three million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 6889 13778 20667 27556 34445 41334 68890 82668 103335 137780 206670 413340 782003 1564006 2346009 3128012 3910015 4692018 7820030 9384036 11730045 15640060 23460090 46920180 64906249 129812498 194718747 259624996 324531245 389437494 649062490 778874988 973593735 1298124980 1947187470 3894374940 5387218667 10774437334 16161656001 21548874668 26936093335 32323312002 53872186670 64646624004 80808280005 107744373340 161616560010 323233120020