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121121110200213 = 32239490911470607
BaseRepresentation
bin11011100010100010110100…
…101111111000111110010101
3120212212001202102102002022100
4123202202310233320332111
5111333422013202401323
61105334134143152313
734340466010514004
oct3342426457707625
9525761672362270
10121121110200213
11356581a10a6062
12117020ba8a5699
1352778968c2276
1421ca416054c3b
15e00988570943
hex6e28b4bf8f95

121121110200213 has 24 divisors (see below), whose sum is σ = 175720538073600. Its totient is φ = 80393164506144.

The previous prime is 121121110200179. The next prime is 121121110200247. The reversal of 121121110200213 is 312002011121121.

It is a happy number.

121121110200213 is a `hidden beast` number, since 1 + 21 + 121 + 110 + 200 + 213 = 666.

It is an interprime number because it is at equal distance from previous prime (121121110200179) and next prime (121121110200247).

It is not a de Polignac number, because 121121110200213 - 216 = 121121110134677 is a prime.

It is a super-2 number, since 2×1211211102002132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121110200263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4823956 + ... + 16294562.

It is an arithmetic number, because the mean of its divisors is an integer number (7321689086400).

Almost surely, 2121121110200213 is an apocalyptic number.

It is an amenable number.

121121110200213 is a deficient number, since it is larger than the sum of its proper divisors (54599427873387).

121121110200213 is a wasteful number, since it uses less digits than its factorization.

121121110200213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11475761 (or 11475758 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 121121110200213 its reverse (312002011121121), we get a palindrome (433123121321334).

The spelling of 121121110200213 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred ten million, two hundred thousand, two hundred thirteen".

Divisors: 1 3 9 239 717 2151 4909 14727 44181 1173251 3519753 10559259 11470607 34411821 103235463 2741475073 8224425219 24673275657 56309209763 168927629289 506782887867 13457901133357 40373703400071 121121110200213