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102313122021 = 321119316532687
BaseRepresentation
bin101111101001001010…
…1100101100011100101
3100210002101012010010200
41133102111211203211
53134014124401041
6115000233141113
710251262121325
oct1372225454345
9323071163120
10102313122021
113a4330a99a0
12179b455a799
139856aca4b6
144d48347285
1529dc34e1b6
hex17d25658e5

102313122021 has 96 divisors (see below), whose sum is σ = 175513927680. Its totient is φ = 56741212800.

The previous prime is 102313122013. The next prime is 102313122047. The reversal of 102313122021 is 120221313201.

It is not a de Polignac number, because 102313122021 - 23 = 102313122013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102313121985 and 102313122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102313122001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38075740 + ... + 38078426.

It is an arithmetic number, because the mean of its divisors is an integer number (1828270080).

Almost surely, 2102313122021 is an apocalyptic number.

102313122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102313122021 is a deficient number, since it is larger than the sum of its proper divisors (73200805659).

102313122021 is a wasteful number, since it uses less digits than its factorization.

102313122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102313122021 its reverse (120221313201), we get a palindrome (222534435222).

The spelling of 102313122021 in words is "one hundred two billion, three hundred thirteen million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 19 31 33 57 93 99 171 209 279 341 589 627 653 1023 1767 1881 1959 2687 3069 5301 5877 6479 7183 8061 12407 19437 20243 21549 24183 29557 37221 51053 58311 60729 64647 83297 88671 111663 136477 153159 182187 222673 249891 266013 384617 409431 459477 561583 668019 749673 916267 1153851 1228293 1582643 1684749 1754611 2004057 2748801 3461553 4230787 4747929 5054247 5263833 8246403 12692361 14243787 15791499 17409073 19300721 33337609 38077083 52227219 54392941 57902163 100012827 156681657 163178823 173706489 300038481 366713699 489536469 598322351 1033465879 1100141097 1794967053 3100397637 3300423291 5384901159 9301192911 11368124669 34104374007 102313122021