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102110202100205 = 5133346946936753
BaseRepresentation
bin10111001101111001100010…
…010100101111100111101101
3111101112122021112212002222122
4113031321202110233213231
5101340433143214201310
61001100440153122325
730336134666063225
oct2715714224574755
9441478245762878
10102110202100205
112a59876a094a32
12b5517840b93a5
1344c8c48a18420
141b30235653085
15bc11c24b6555
hex5cde6252f9ed

102110202100205 has 16 divisors (see below), whose sum is σ = 131961745135920. Its totient is φ = 75402202364928.

The previous prime is 102110202100183. The next prime is 102110202100213. The reversal of 102110202100205 is 502001202011201.

It can be written as a sum of positive squares in 8 ways, for example, as 38965135746436 + 63145066353769 = 6242206^2 + 7946387^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110202100205 - 212 = 102110202096109 is a prime.

It is a super-2 number, since 2×1021102021002052 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21292892 + ... + 25643861.

It is an arithmetic number, because the mean of its divisors is an integer number (8247609070995).

Almost surely, 2102110202100205 is an apocalyptic number.

It is an amenable number.

102110202100205 is a deficient number, since it is larger than the sum of its proper divisors (29851543035715).

102110202100205 is a wasteful number, since it uses less digits than its factorization.

102110202100205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46970240.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 102110202100205 its reverse (502001202011201), we get a palindrome (604111404111406).

The spelling of 102110202100205 in words is "one hundred two trillion, one hundred ten billion, two hundred two million, one hundred thousand, two hundred five".

Divisors: 1 5 13 65 33469 167345 435097 2175485 46936753 234683765 610177789 3050888945 1570926186157 7854630930785 20422040420041 102110202100205