Search a number
-
+
12220100211210 = 2351073839939647
BaseRepresentation
bin1011000111010011011010…
…1110110111001000001010
31121021020012210110022110220
42301310312232313020022
53100203231123224320
641553500405250510
72400605321645253
oct261646656671012
947236183408426
1012220100211210
113991573aa0201
121454406a03a36
136a84730a2358
143036553cdb2a
15162d15d07e40
hexb1d36bb720a

12220100211210 has 64 divisors (see below), whose sum is σ = 29679629893632. Its totient is φ = 3219809166656.

The previous prime is 12220100211167. The next prime is 12220100211269. The reversal of 12220100211210 is 1211200102221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12220100211210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3740394 + ... + 6199253.

It is an arithmetic number, because the mean of its divisors is an integer number (463744217088).

Almost surely, 212220100211210 is an apocalyptic number.

12220100211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12220100211210 is an abundant number, since it is smaller than the sum of its proper divisors (17459529682422).

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

12220100211210 is a wasteful number, since it uses less digits than its factorization.

12220100211210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940147.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12220100211210 its reverse (1211200102221), we get a palindrome (13431300313431).

The spelling of 12220100211210 in words is "twelve trillion, two hundred twenty billion, one hundred million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 107 214 321 383 535 642 766 1070 1149 1605 1915 2298 3210 3830 5745 11490 40981 81962 122943 204905 245886 409810 614715 1229430 9939647 19879294 29818941 49698235 59637882 99396470 149094705 298189410 1063542229 2127084458 3190626687 3806884801 5317711145 6381253374 7613769602 10635422290 11420654403 15953133435 19034424005 22841308806 31906266870 38068848010 57103272015 114206544030 407336673707 814673347414 1222010021121 2036683368535 2444020042242 4073366737070 6110050105605 12220100211210