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210220100013 = 37111135180173
BaseRepresentation
bin1100001111001000011…
…0000010100110101101
3202002121121012120002010
43003302012002212231
511421012321200023
6240323534151433
721121310236650
oct3036206024655
9662547176063
10210220100013
1181176847650
12348aa352579
1316a927b0731
14a263579897
15570580c093
hex30f21829ad

210220100013 has 32 divisors (see below), whose sum is σ = 349491935232. Its totient is φ = 109194264000.

The previous prime is 210220100003. The next prime is 210220100017. The reversal of 210220100013 is 310001022012.

It is not a de Polignac number, because 210220100013 - 24 = 210220099997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210220100017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2581995 + ... + 2662167.

It is an arithmetic number, because the mean of its divisors is an integer number (10921622976).

Almost surely, 2210220100013 is an apocalyptic number.

It is an amenable number.

210220100013 is a deficient number, since it is larger than the sum of its proper divisors (139271835219).

210220100013 is a wasteful number, since it uses less digits than its factorization.

210220100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91545.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 210220100013 its reverse (310001022012), we get a palindrome (520221122025).

The spelling of 210220100013 in words is "two hundred ten billion, two hundred twenty million, one hundred thousand, thirteen".

Divisors: 1 3 7 11 21 33 77 231 11351 34053 79457 80173 124861 238371 240519 374583 561211 874027 881903 1683633 2622081 2645709 6173321 18519963 910043723 2730131169 6370306061 10010480953 19110918183 30031442859 70073366671 210220100013