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102212213298 = 23137121911361
BaseRepresentation
bin101111100110001010…
…0101001101000110010
3100202211100022102101120
41133030110221220302
53133312311311143
6114542230243110
710245625322646
oct1371424515062
9322740272346
10102212213298
113a391147758
12179867b6496
13983bc291b0
144d38b9ac26
1529d356a383
hex17cc529a32

102212213298 has 96 divisors (see below), whose sum is σ = 224627751936. Its totient is φ = 30821952000.

The previous prime is 102212213273. The next prime is 102212213309. The reversal of 102212213298 is 892312212201.

It is a Curzon number.

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, 75100138 + ... + 75101498.

It is an arithmetic number, because the mean of its divisors is an integer number (2339872416).

Almost surely, 2102212213298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212213298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112313875968).

102212213298 is an abundant number, since it is smaller than the sum of its proper divisors (122415538638).

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

102212213298 is a wasteful number, since it uses less digits than its factorization.

102212213298 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

Adding to 102212213298 its reverse (892312212201), we get a palindrome (994524425499).

The spelling of 102212213298 in words is "one hundred two billion, two hundred twelve million, two hundred thirteen thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 13 26 39 71 78 142 191 213 382 426 573 923 1146 1361 1846 2483 2722 2769 4083 4966 5041 5538 7449 8166 10082 13561 14898 15123 17693 27122 30246 35386 40683 53079 65533 81366 96631 106158 131066 176293 193262 196599 259951 289893 352586 393198 519902 528879 579786 779853 962831 1057758 1256203 1559706 1925662 2512406 2888493 3379363 3768609 5776986 6758726 6860801 7537218 10138089 12516803 13721602 18456521 20276178 20582403 25033606 36913042 37550409 41164806 55369563 75100818 89190413 110739126 178380826 239934773 267571239 479869546 535142478 719804319 1310412991 1439608638 2620825982 3931238973 7862477946 17035368883 34070737766 51106106649 102212213298