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102222303202031 = 1779186154417517
BaseRepresentation
bin10111001111100001111100…
…000100100000101011101111
3111101221100122001212010012212
4113033201330010200223233
5101344302234104431111
61001224140000521035
730350213652530045
oct2717417404405357
9441840561763185
10102222303202031
112a631265255a31
12b56b44a62017b
1345066a25ca83c
141b3582b8cc395
15bc4083c9298b
hex5cf87c120aef

102222303202031 has 32 divisors (see below), whose sum is σ = 109699090663680. Its totient is φ = 94910268211200.

The previous prime is 102222303202027. The next prime is 102222303202037. The reversal of 102222303202031 is 130202303222201.

It is not a de Polignac number, because 102222303202031 - 22 = 102222303202027 is a prime.

It is a super-2 number, since 2×1022223032020312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102222303201988 and 102222303202006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222303202037) 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, 13598812685 + ... + 13598820201.

It is an arithmetic number, because the mean of its divisors is an integer number (3428096583240).

Almost surely, 2102222303202031 is an apocalyptic number.

102222303202031 is a deficient number, since it is larger than the sum of its proper divisors (7476787461649).

102222303202031 is a wasteful number, since it uses less digits than its factorization.

102222303202031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14915.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 102222303202031 its reverse (130202303222201), we get a palindrome (232424606424232).

The spelling of 102222303202031 in words is "one hundred two trillion, two hundred twenty-two billion, three hundred three million, two hundred two thousand, thirty-one".

Divisors: 1 17 79 1343 1861 5441 7517 31637 92497 127789 147019 429839 593843 2499323 7307263 10095331 10125701 13989137 40899997 172136917 237815329 695299949 799930379 1105141823 3231099763 13598816443 18787410991 54928695971 76114894417 1293953205089 6013076658943 102222303202031