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2310331201220 = 225753379782003
BaseRepresentation
bin100001100111101010011…
…110000111011011000100
322011212100221202021111102
4201213222132013123010
5300323024241414340
64525203531355232
7325626106122530
oct41475236073304
98155327667442
102310331201220
11810895807509
123139112b2b18
13139b2b883ba3
147db6bb2abc0
154016c66d215
hex219ea7876c4

2310331201220 has 96 divisors (see below), whose sum is σ = 5650970427648. Its totient is φ = 776953861632.

The previous prime is 2310331201219. The next prime is 2310331201259. The reversal of 2310331201220 is 221021330132.

2310331201220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2310331201192 and 2310331201201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28132739 + ... + 28214741.

It is an arithmetic number, because the mean of its divisors is an integer number (58864275288).

Almost surely, 22310331201220 is an apocalyptic number.

2310331201220 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 2310331201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825485213824).

2310331201220 is an abundant number, since it is smaller than the sum of its proper divisors (3340639226428).

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

2310331201220 is a wasteful number, since it uses less digits than its factorization.

2310331201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85869 (or 85867 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2310331201220 its reverse (221021330132), we get a palindrome (2531352531352).

The spelling of 2310331201220 in words is "two trillion, three hundred ten billion, three hundred thirty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 3797 7420 7594 15188 18985 26579 37970 53158 75940 82003 106316 132895 164006 201241 265790 328012 402482 410015 531580 574021 804964 820030 1006205 1148042 1408687 1640060 2012410 2296084 2817374 2870105 4024820 4346159 5634748 5740210 7043435 8692318 11480420 14086870 17384636 21730795 28173740 30423113 43461590 60846226 86923180 121692452 152115565 304231130 311365391 608462260 622730782 1245461564 1556826955 2179557737 3113653910 4359115474 6227307820 8718230948 10897788685 16502365723 21795577370 33004731446 43591154740 66009462892 82511828615 115516560061 165023657230 231033120122 330047314460 462066240244 577582800305 1155165600610 2310331201220