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102202111032 = 23372798291327
BaseRepresentation
bin101111100101110111…
…0000111010000111000
3100202210122022011200120
41133023232013100320
53133302220023112
6114541225533240
710245443416200
oct1371356072070
9322718264616
10102202111032
113a38647777a
1217983344220
139839accc18
144d376cb400
1529d2721e8c
hex17cbb87438

102202111032 has 192 divisors, whose sum is σ = 301572864000. Its totient is φ = 28774497024.

The previous prime is 102202111019. The next prime is 102202111061. The reversal of 102202111032 is 230111202201.

It is a super-2 number, since 2×1022021110322 (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 77016753 + ... + 77018079.

It is an arithmetic number, because the mean of its divisors is an integer number (1570692000).

Almost surely, 2102202111032 is an apocalyptic number.

102202111032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150786432000).

102202111032 is an abundant number, since it is smaller than the sum of its proper divisors (199370752968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102202111032 is a wasteful number, since it uses less digits than its factorization.

102202111032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102202111032 its reverse (230111202201), we get a palindrome (332313313233).

The spelling of 102202111032 in words is "one hundred two billion, two hundred two million, one hundred eleven thousand, thirty-two".