Search a number
-
+
102202112001 = 31123831622333
BaseRepresentation
bin101111100101110111…
…0000111100000000001
3100202210122022020000110
41133023232013200001
53133302220041001
6114541225541533
710245443422053
oct1371356074001
9322718266013
10102202112001
113a386478480
12179833448a9
139839b004b2
144d376cb8d3
1529d27223d6
hex17cbb87801

102202112001 has 32 divisors (see below), whose sum is σ = 156990016512. Its totient is φ = 58533738560.

The previous prime is 102202111967. The next prime is 102202112003. The reversal of 102202112001 is 100211202201.

It is not a de Polignac number, because 102202112001 - 211 = 102202109953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202112003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 748170 + ... + 874163.

It is an arithmetic number, because the mean of its divisors is an integer number (4905938016).

Almost surely, 2102202112001 is an apocalyptic number.

102202112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202112001 is a deficient number, since it is larger than the sum of its proper divisors (54787904511).

102202112001 is a wasteful number, since it uses less digits than its factorization.

102202112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622453.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102202112001 its reverse (100211202201), we get a palindrome (202413314202).

The spelling of 102202112001 in words is "one hundred two billion, two hundred two million, one hundred twelve thousand, one".

Divisors: 1 3 11 23 33 69 83 249 253 759 913 1909 2739 5727 20999 62997 1622333 4866999 17845663 37313659 53536989 111940977 134653639 403960917 410450249 1231350747 1481190029 3097033697 4443570087 9291101091 34067370667 102202112001