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102213110313 = 3210922274211
BaseRepresentation
bin101111100110001100…
…0000100101000101001
3100202211101222222212100
41133030120010220221
53133313024012223
6114542301404013
710245636050106
oct1371430045051
9322741888770
10102213110313
113a3916aa696
1217986b69609
13983c181582
144d38d51aad
1529d3696043
hex17cc604a29

102213110313 has 36 divisors (see below), whose sum is σ = 149700056688. Its totient is φ = 67203522720.

The previous prime is 102213110273. The next prime is 102213110333. The reversal of 102213110313 is 313011312201.

It is not a de Polignac number, because 102213110313 - 233 = 93623175721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102213110333) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24270778 + ... + 24274988.

It is an arithmetic number, because the mean of its divisors is an integer number (4158334908).

Almost surely, 2102213110313 is an apocalyptic number.

It is an amenable number.

102213110313 is a deficient number, since it is larger than the sum of its proper divisors (47486946375).

102213110313 is a wasteful number, since it uses less digits than its factorization.

102213110313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102213110313 its reverse (313011312201), we get a palindrome (415224422514).

The spelling of 102213110313 in words is "one hundred two billion, two hundred thirteen million, one hundred ten thousand, three hundred thirteen".

Divisors: 1 3 9 109 227 327 681 981 2043 4211 11881 12633 24743 35643 37899 74229 106929 222687 458999 955897 1376997 2696987 2867691 4130991 8090961 8603073 24272883 50030891 104192773 150092673 312578319 450278019 937734957 11357012257 34071036771 102213110313