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102013311021 = 3612937272617
BaseRepresentation
bin101111100000001110…
…1111001100000101101
3100202022111001010202120
41133000131321200231
53132410401423041
6114510403143153
710240661556636
oct1370035714055
9322274033676
10102013311021
113a299944506
1217930074ab9
13980996773b
144d1a5c288d
1529c0d7b366
hex17c077982d

102013311021 has 32 divisors (see below), whose sum is σ = 138963272448. Its totient is φ = 66548528640.

The previous prime is 102013310999. The next prime is 102013311047. The reversal of 102013311021 is 120113310201.

It is a happy number.

It is not a de Polignac number, because 102013311021 - 221 = 102011213869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013315021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38979705 + ... + 38982321.

It is an arithmetic number, because the mean of its divisors is an integer number (4342602264).

Almost surely, 2102013311021 is an apocalyptic number.

It is an amenable number.

102013311021 is a deficient number, since it is larger than the sum of its proper divisors (36949961427).

102013311021 is a wasteful number, since it uses less digits than its factorization.

102013311021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102013311021 its reverse (120113310201), we get a palindrome (222126621222).

The spelling of 102013311021 in words is "one hundred two billion, thirteen million, three hundred eleven thousand, twenty-one".

Divisors: 1 3 61 183 293 727 879 2181 2617 7851 17873 44347 53619 133041 159637 213011 478911 639033 766781 1902559 2300343 5707677 12993671 38981013 46773641 116056099 140320923 348168297 557449787 1672349361 34004437007 102013311021