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12220233301000 = 235317718837253
BaseRepresentation
bin1011000111010011111010…
…1010100011110000001000
31121021020120001212222100101
42301310332222203300020
53100204014211113000
641553521522015144
72400611526125164
oct261647652436010
947236501788311
1012220233301000
11399163213256a
1214544434a74b4
136a84948302ca
14303668d55ca4
15162d22846e6a
hexb1d3eaa3c08

12220233301000 has 64 divisors (see below), whose sum is σ = 30277425138480. Its totient is φ = 4600558412800.

The previous prime is 12220233300991. The next prime is 12220233301009. The reversal of 12220233301000 is 10333202221.

It is an interprime number because it is at equal distance from previous prime (12220233300991) and next prime (12220233301009).

It can be written as a sum of positive squares in 8 ways, for example, as 19840976164 + 12200392324836 = 140858^2 + 3492906^2 .

It is not an unprimeable number, because it can be changed into a prime (12220233301009) 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, 359401627 + ... + 359435626.

Almost surely, 212220233301000 is an apocalyptic number.

12220233301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220233301000 is an abundant number, since it is smaller than the sum of its proper divisors (18057191837480).

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

12220233301000 is a wasteful number, since it uses less digits than its factorization.

12220233301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718837291 (or 718837277 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12220233301000 its reverse (10333202221), we get a palindrome (12230566503221).

The spelling of 12220233301000 in words is "twelve trillion, two hundred twenty billion, two hundred thirty-three million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 718837253 1437674506 2875349012 3594186265 5750698024 7188372530 12220233301 14376745060 17970931325 24440466602 28753490120 35941862650 48880933204 61101166505 71883725300 89854656625 97761866408 122202333010 143767450600 179709313250 244404666020 305505832525 359418626500 488809332040 611011665050 718837253000 1222023330100 1527529162625 2444046660200 3055058325250 6110116650500 12220233301000