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2231120230120 = 235374573298717
BaseRepresentation
bin100000011101111001001…
…000001111011011101000
321220021220121100000200001
4200131321020033123220
5243023313234330440
64424543521352344
7320123145021655
oct40357110173350
97807817300601
102231120230120
11790238228531
123004a57986b4
131325170603a2
1479db5aa2c2c
153d0835aab9a
hex2077920f6e8

2231120230120 has 64 divisors (see below), whose sum is σ = 5166979926480. Its totient is φ = 866427549696.

The previous prime is 2231120230111. The next prime is 2231120230123. The reversal of 2231120230120 is 210320211322.

It can be written as a sum of positive squares in 8 ways, for example, as 1345688161444 + 885432068676 = 1160038^2 + 940974^2 .

It is a super-3 number, since 3×22311202301203 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2231120230123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972999 + ... + 2325718.

Almost surely, 22231120230120 is an apocalyptic number.

2231120230120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231120230120 is an abundant number, since it is smaller than the sum of its proper divisors (2935859696360).

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

2231120230120 is a wasteful number, since it uses less digits than its factorization.

2231120230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299222 (or 3299218 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2231120230120 its reverse (210320211322), we get a palindrome (2441440441442).

The spelling of 2231120230120 in words is "two trillion, two hundred thirty-one billion, one hundred twenty million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 457 740 914 1480 1828 2285 3656 4570 9140 16909 18280 33818 67636 84545 135272 169090 338180 676360 3298717 6597434 13194868 16493585 26389736 32987170 65974340 122052529 131948680 244105058 488210116 610262645 976420232 1220525290 1507513669 2441050580 3015027338 4882101160 6030054676 7537568345 12060109352 15075136690 30150273380 55778005753 60300546760 111556011506 223112023012 278890028765 446224046024 557780057530 1115560115060 2231120230120