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2313222300120 = 2335149859150611
BaseRepresentation
bin100001101010010110110…
…010110010000111011000
322012010211102212022121110
4201222112302302013120
5300344434402100440
64530402445540320
7326060543061354
oct41522662620730
98163742768543
102313222300120
11812039756946
123143995746a0
1313a19c8292b4
147dd63aa6464
154028b3a0080
hex21a96cb21d8

2313222300120 has 128 divisors (see below), whose sum is σ = 6994421280000. Its totient is φ = 612001927680.

The previous prime is 2313222300091. The next prime is 2313222300143. The reversal of 2313222300120 is 210032223132.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 15283615 + ... + 15434225.

It is an arithmetic number, because the mean of its divisors is an integer number (54643916250).

Almost surely, 22313222300120 is an apocalyptic number.

2313222300120 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 2313222300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497210640000).

2313222300120 is an abundant number, since it is smaller than the sum of its proper divisors (4681198979880).

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

2313222300120 is a wasteful number, since it uses less digits than its factorization.

2313222300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151633 (or 151629 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2313222300120 its reverse (210032223132), we get a palindrome (2523254523252).

The spelling of 2313222300120 in words is "two trillion, three hundred thirteen billion, two hundred twenty-two million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 859 894 1192 1490 1718 1788 2235 2577 2980 3436 3576 4295 4470 5154 5960 6872 8590 8940 10308 12885 17180 17880 20616 25770 34360 51540 103080 127991 150611 255982 301222 383973 451833 511964 602444 639955 753055 767946 903666 1023928 1204888 1279910 1506110 1535892 1807332 1919865 2259165 2559820 3012220 3071784 3614664 3839730 4518330 5119640 6024440 7679460 9036660 15358920 18073320 22441039 44882078 67323117 89764156 112205195 129374849 134646234 179528312 224410390 258749698 269292468 336615585 388124547 448820780 517499396 538584936 646874245 673231170 776249094 897641560 1034998792 1293748490 1346462340 1552498188 1940622735 2587496980 2692924680 3104996376 3881245470 5174993960 7762490940 15524981880 19276852501 38553705002 57830557503 77107410004 96384262505 115661115006 154214820008 192768525010 231322230012 289152787515 385537050020 462644460024 578305575030 771074100040 1156611150060 2313222300120