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102010102012221 = 313171496301163883
BaseRepresentation
bin10111001100011100010011…
…111001001101100100111101
3111101012001220101212202211120
4113030130103321031210331
5101332313142103342341
61000542443252541153
730325662265265064
oct2714342371154475
9441161811782746
10102010102012221
112a55a272208297
12b5362a89217b9
1344bc685564130
141b2945b1bb1db
15bbd7b45ab066
hex5cc713e4d93d

102010102012221 has 64 divisors (see below), whose sum is σ = 156158901561600. Its totient is φ = 58676573491200.

The previous prime is 102010102012207. The next prime is 102010102012267. The reversal of 102010102012221 is 122210201010201.

It is not a de Polignac number, because 102010102012221 - 26 = 102010102012157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102010102012221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010102013221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 622374946 + ... + 622538828.

It is an arithmetic number, because the mean of its divisors is an integer number (2439982836900).

Almost surely, 2102010102012221 is an apocalyptic number.

It is an amenable number.

102010102012221 is a deficient number, since it is larger than the sum of its proper divisors (54148799549379).

102010102012221 is a wasteful number, since it uses less digits than its factorization.

102010102012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170366.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102010102012221 its reverse (122210201010201), we get a palindrome (224220303022422).

The spelling of 102010102012221 in words is "one hundred two trillion, ten billion, one hundred two million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 13 17 39 51 149 221 447 663 1937 2533 5811 6301 7599 18903 32929 81913 98787 107117 163883 245739 321351 491649 938849 1392521 2130479 2786011 2816547 4177563 6391437 8358033 12205037 15960433 24418567 36218143 36615111 47881299 73255701 108654429 207485629 317441371 415115639 622456887 952324113 1032626783 1245346917 3097880349 5396503307 13424148179 16189509921 17554655311 40272444537 52663965933 153861390667 228210519043 461584172001 684631557129 2000198078671 2615643641339 6000594236013 7846930924017 34003367337407 102010102012221