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102312220010 = 257211131460143
BaseRepresentation
bin101111101001001001…
…0001001010101101010
3100210002022111021210212
41133102102021111222
53134013412020020
6115000201541122
710251251343500
oct1372222112552
9323068437725
10102312220010
113a432643230
12179b41a47a2
139856872a70
144d48190670
1529dc221cc5
hex17d248956a

102312220010 has 96 divisors (see below), whose sum is σ = 251682100992. Its totient is φ = 29436462720.

The previous prime is 102312220009. The next prime is 102312220027. The reversal of 102312220010 is 10022213201.

It is a happy number.

102312220010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1023122200103 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660002 + ... + 800141.

It is an arithmetic number, because the mean of its divisors is an integer number (2621688552).

Almost surely, 2102312220010 is an apocalyptic number.

102312220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102312220010 is an abundant number, since it is smaller than the sum of its proper divisors (149369880982).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102312220010 is a wasteful number, since it uses less digits than its factorization.

102312220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460188 (or 1460181 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102312220010 its reverse (10022213201), we get a palindrome (112334433211).

The spelling of 102312220010 in words is "one hundred two billion, three hundred twelve million, two hundred twenty thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 49 55 65 70 77 91 98 110 130 143 154 182 245 286 385 455 490 539 637 715 770 910 1001 1078 1274 1430 2002 2695 3185 5005 5390 6370 7007 10010 14014 35035 70070 1460143 2920286 7300715 10221001 14601430 16061573 18981859 20442002 32123146 37963718 51105005 71547007 80307865 94909295 102210010 112431011 132873013 143094014 160615730 189818590 208800449 224862022 265746026 357735035 417600898 562155055 664365065 715470070 787017077 930111091 1044002245 1124310110 1328730130 1461603143 1574034154 1860222182 2088004490 2923206286 3935085385 4650555455 7308015715 7870170770 9301110910 10231222001 14616031430 20462444002 51156110005 102312220010