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102222210012 = 223132322115649
BaseRepresentation
bin101111100110011101…
…0110010001111011100
3100202212001010022022020
41133030322302033130
53133322341210022
6114543224420140
710246106306616
oct1371472621734
9322761108266
10102222210012
113a3968553aa
121798a017650
139841019400
144d3a23ddb6
1529d439235c
hex17cceb23dc

102222210012 has 72 divisors (see below), whose sum is σ = 258374113200. Its totient is φ = 31441213440.

The previous prime is 102222210007. The next prime is 102222210053. The reversal of 102222210012 is 210012222201.

It is a junction number, because it is equal to n+sod(n) for n = 102222209973 and 102222210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6524364 + ... + 6540012.

It is an arithmetic number, because the mean of its divisors is an integer number (3588529350).

Almost surely, 2102222210012 is an apocalyptic number.

102222210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129187056600).

102222210012 is an abundant number, since it is smaller than the sum of its proper divisors (156151903188).

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

102222210012 is a wasteful number, since it uses less digits than its factorization.

102222210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18903 (or 18888 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102222210012 its reverse (210012222201), we get a palindrome (312234432213).

The spelling of 102222210012 in words is "one hundred two billion, two hundred twenty-two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 3221 6442 9663 12884 15649 19326 31298 38652 41873 46947 62596 83746 93894 125619 167492 187788 203437 251238 406874 502476 544349 610311 813748 1088698 1220622 1633047 2177396 2441244 2644681 3266094 5289362 6532188 7934043 10578724 15868086 31736172 50405429 100810858 151216287 201621716 302432574 604865148 655270577 1310541154 1965811731 2621082308 3931623462 7863246924 8518517501 17037035002 25555552503 34074070004 51111105006 102222210012