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102202223031 = 3257765330139
BaseRepresentation
bin101111100101110111…
…0100010100110110111
3100202210122111212022200
41133023232202212313
53133302232114111
6114541232155543
710245444363546
oct1371356424667
9322718455280
10102202223031
113a386543937
1217983398bb3
139839b3bbac
144d3771a15d
1529d2745256
hex17cbba29b7

102202223031 has 24 divisors (see below), whose sum is σ = 148112661840. Its totient is φ = 67910317056.

The previous prime is 102202223029. The next prime is 102202223051. The reversal of 102202223031 is 130322202201.

It is not a de Polignac number, because 102202223031 - 21 = 102202223029 is a prime.

It is a super-2 number, since 2×1022022230312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102202222995 and 102202223013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202223051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3375960 + ... + 3406098.

It is an arithmetic number, because the mean of its divisors is an integer number (6171360910).

Almost surely, 2102202223031 is an apocalyptic number.

102202223031 is a deficient number, since it is larger than the sum of its proper divisors (45910438809).

102202223031 is a wasteful number, since it uses less digits than its factorization.

102202223031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31375 (or 31372 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102202223031 its reverse (130322202201), we get a palindrome (232524425232).

The spelling of 102202223031 in words is "one hundred two billion, two hundred two million, two hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 577 653 1731 1959 5193 5877 30139 90417 271251 376781 1130343 3391029 17390203 19680767 52170609 59042301 156511827 177126903 11355802559 34067407677 102202223031