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102220100120093 is a prime number
BaseRepresentation
bin10111001111011111111000…
…110000011010111000011101
3111101221010221112100221221112
4113033133320300122320131
5101344233231112320333
61001223133221111405
730350105241613454
oct2717377060327035
9441833845327845
10102220100120093
112a63033471095a
12b56ab34858565
13450641105a467
141b3569d08bb9b
15bc3ea5667948
hex5cf7f8c1ae1d

102220100120093 has 2 divisors, whose sum is σ = 102220100120094. Its totient is φ = 102220100120092.

The previous prime is 102220100120003. The next prime is 102220100120119. The reversal of 102220100120093 is 390021001022201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52675704386809 + 49544395733284 = 7257803^2 + 7038778^2 .

It is a cyclic number.

It is not a de Polignac number, because 102220100120093 - 224 = 102220083342877 is a prime.

It is a super-3 number, since 3×1022201001200933 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102220100120003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110050060046 + 51110050060047.

It is an arithmetic number, because the mean of its divisors is an integer number (51110050060047).

Almost surely, 2102220100120093 is an apocalyptic number.

It is an amenable number.

102220100120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

102220100120093 is an equidigital number, since it uses as much as digits as its factorization.

102220100120093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 102220100120093 its reverse (390021001022201), we get a palindrome (492241101142294).

The spelling of 102220100120093 in words is "one hundred two trillion, two hundred twenty billion, one hundred million, one hundred twenty thousand, ninety-three".