Search a number
-
+
2220213102101 = 83233803914281
BaseRepresentation
bin100000010011101111000…
…000110110011000010101
321212020202110122111211122
4200103233000312120111
5242333444023231401
64415541332013325
7316255643662631
oct40235700663025
97766673574748
102220213102101
11786650462845
122ba360a61245
13131499451c97
147965d289dc1
153cb45c6421b
hex204ef036615

2220213102101 has 16 divisors (see below), whose sum is σ = 2257045015680. Its totient is φ = 2183624943360.

The previous prime is 2220213102061. The next prime is 2220213102131. The reversal of 2220213102101 is 1012013120222.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2220213102101 is a prime.

It is a super-2 number, since 2×22202131021012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2220213102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220213102131) 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, 155459081 + ... + 155473361.

It is an arithmetic number, because the mean of its divisors is an integer number (141065313480).

Almost surely, 22220213102101 is an apocalyptic number.

It is an amenable number.

2220213102101 is a deficient number, since it is larger than the sum of its proper divisors (36831913579).

2220213102101 is a wasteful number, since it uses less digits than its factorization.

2220213102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22636.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2220213102101 its reverse (1012013120222), we get a palindrome (3232226222323).

The spelling of 2220213102101 in words is "two trillion, two hundred twenty billion, two hundred thirteen million, one hundred two thousand, one hundred one".

Divisors: 1 83 233 8039 14281 19339 667237 1185323 1873087 3327473 114804959 155466221 276180259 9528811597 26749555447 2220213102101