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102213303213 = 3713145918093
BaseRepresentation
bin101111100110001100…
…0110011101110101101
3100202211102100210110210
41133030120303232231
53133313101200323
6114542305453033
710245640512360
oct1371430635655
9322742323423
10102213303213
113a39182160a
1217987041179
13983c21b308
144d38da20d7
1529d36d3293
hex17cc633bad

102213303213 has 32 divisors (see below), whose sum is σ = 156996145152. Its totient is φ = 57941956800.

The previous prime is 102213303211. The next prime is 102213303253. The reversal of 102213303213 is 312303312201.

It is not a de Polignac number, because 102213303213 - 21 = 102213303211 is a prime.

It is a super-2 number, since 2×1022133032132 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 102213303213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213303211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12625795 + ... + 12633887.

It is an arithmetic number, because the mean of its divisors is an integer number (4906129536).

Almost surely, 2102213303213 is an apocalyptic number.

It is an amenable number.

102213303213 is a deficient number, since it is larger than the sum of its proper divisors (54782841939).

102213303213 is a wasteful number, since it uses less digits than its factorization.

102213303213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12825.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102213303213 its reverse (312303312201), we get a palindrome (414516615414).

The spelling of 102213303213 in words is "one hundred two billion, two hundred thirteen million, three hundred three thousand, two hundred thirteen".

Divisors: 1 3 7 21 131 393 917 2751 4591 8093 13773 24279 32137 56651 96411 169953 601421 1060183 1804263 3180549 4209947 7421281 12629841 22263843 37154963 111464889 260084741 780254223 4867300153 14601900459 34071101071 102213303213