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2221312130312 = 23111391248714543
BaseRepresentation
bin100000010100110000100…
…001010011110100001000
321212100121001122221010012
4200110300201103310020
5242343221401132222
64420242352011052
7316325120400542
oct40246041236410
97770531587105
102221312130312
11787064873a20
122ba608b30a88
13131613052532
1479725214692
153cbac4a71e2
hex20530853d08

2221312130312 has 64 divisors (see below), whose sum is σ = 4576961894400. Its totient is φ = 1002274194240.

The previous prime is 2221312130287. The next prime is 2221312130369. The reversal of 2221312130312 is 2130312131222.

It is a super-3 number, since 3×22213121303123 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152733713 + ... + 152748255.

It is an arithmetic number, because the mean of its divisors is an integer number (71515029600).

Almost surely, 22221312130312 is an apocalyptic number.

2221312130312 is a gapful number since it is divisible by the number (22) 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 2221312130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288480947200).

2221312130312 is an abundant number, since it is smaller than the sum of its proper divisors (2355649764088).

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

2221312130312 is a wasteful number, since it uses less digits than its factorization.

2221312130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27186 (or 27182 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2221312130312 its reverse (2130312131222), we get a palindrome (4351624261534).

The spelling of 2221312130312 in words is "two trillion, two hundred twenty-one billion, three hundred twelve million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 139 278 556 1112 1529 3058 6116 12232 12487 14543 24974 29086 49948 58172 99896 116344 137357 159973 274714 319946 549428 639892 1098856 1279784 1735693 2021477 3471386 4042954 6942772 8085908 13885544 16171816 19092623 22236247 38185246 44472494 76370492 88944988 152740984 177889976 181598441 363196882 726393764 1452787528 1997582851 3995165702 7990331404 15980662808 25242183299 50484366598 100968733196 201937466392 277664016289 555328032578 1110656065156 2221312130312