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2313321211020 = 2235151373368399
BaseRepresentation
bin100001101010011100101…
…100000110010010001100
322012011002022222111212010
4201222130230012102030
5300400140212223040
64530420341541220
7326063153566341
oct41523454062214
98164068874763
102313321211020
1181208a574096
12314406714810
1313a1b717b161
147dd72c927c8
1540294ddbe80
hex21a9cb0648c

2313321211020 has 96 divisors (see below), whose sum is σ = 6522037401600. Its totient is φ = 612627206400.

The previous prime is 2313321210929. The next prime is 2313321211027. The reversal of 2313321211020 is 201121233132.

It is not an unprimeable number, because it can be changed into a prime (2313321211027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33786781 + ... + 33855179.

It is an arithmetic number, because the mean of its divisors is an integer number (67937889600).

Almost surely, 22313321211020 is an apocalyptic number.

2313321211020 is a gapful number since it is divisible by the number (20) 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 2313321211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261018700800).

2313321211020 is an abundant number, since it is smaller than the sum of its proper divisors (4208716190580).

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

2313321211020 is a wasteful number, since it uses less digits than its factorization.

2313321211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72295 (or 72293 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2313321211020 its reverse (201121233132), we get a palindrome (2514442444152).

The spelling of 2313321211020 in words is "two trillion, three hundred thirteen billion, three hundred twenty-one million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 3733 4530 7466 9060 11199 14932 18665 22398 37330 44796 55995 68399 74660 111990 136798 205197 223980 273596 341995 410394 563683 683990 820788 1025985 1127366 1367980 1691049 2051970 2254732 2818415 3382098 4103940 5636830 6764196 8455245 10328249 11273660 16910490 20656498 30984747 33820980 41312996 51641245 61969494 103282490 123938988 154923735 206564980 255333467 309847470 510666934 619694940 766000401 1021333868 1276667335 1532000802 2553334670 3064001604 3830002005 5106669340 7660004010 15320008020 38555353517 77110707034 115666060551 154221414068 192776767585 231332121102 385553535170 462664242204 578330302755 771107070340 1156660605510 2313321211020