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102303222132 = 2231731819587
BaseRepresentation
bin101111101000110111…
…1110100100101110100
3100210001200120011001010
41133101233310211310
53134004111102012
6114555241032220
710251112016556
oct1372157644564
9323050504033
10102303222132
113a428557a71
12179b1185670
139854a42387
144d46ccb4d6
1529db545c3c
hex17d1bf4974

102303222132 has 96 divisors (see below), whose sum is σ = 255051538560. Its totient is φ = 31914478080.

The previous prime is 102303222127. The next prime is 102303222157. The reversal of 102303222132 is 231222303201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102303222099 and 102303222108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10666243 + ... + 10675829.

It is an arithmetic number, because the mean of its divisors is an integer number (2656786860).

Almost surely, 2102303222132 is an apocalyptic number.

102303222132 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 102303222132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127525769280).

102303222132 is an abundant number, since it is smaller than the sum of its proper divisors (152748316428).

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

102303222132 is a wasteful number, since it uses less digits than its factorization.

102303222132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9826 (or 9790 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102303222132 its reverse (231222303201), we get a palindrome (333525525333).

The spelling of 102303222132 in words is "one hundred two billion, three hundred three million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 181 204 289 362 543 578 724 867 1086 1156 1734 2172 3077 3468 4913 6154 9231 9587 9826 12308 14739 18462 19174 19652 28761 29478 36924 38348 52309 57522 58956 104618 115044 156927 162979 209236 313854 325958 488937 627708 651916 889253 977874 1735247 1778506 1955748 2667759 2770643 3470494 3557012 5205741 5335518 5541286 6940988 8311929 10411482 10671036 11082572 16623858 20822964 29499199 33247716 47100931 58998398 88497597 94201862 117996796 141302793 176995194 188403724 282605586 353990388 501486383 565211172 1002972766 1504459149 2005945532 3008918298 6017836596 8525268511 17050537022 25575805533 34101074044 51151611066 102303222132