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102212330232 = 23319491456517
BaseRepresentation
bin101111100110001010…
…1000110001011111000
3100202211100112100210110
41133030111012023320
53133312324031412
6114542232544320
710245626320605
oct1371425061370
9322740470713
10102212330232
113a3912175a1
12179868520a0
13983bc6a49c
144d38bcb6ac
1529d358ed3c
hex17cc5462f8

102212330232 has 64 divisors (see below), whose sum is σ = 269528227200. Its totient is φ = 32211768960.

The previous prime is 102212330203. The next prime is 102212330239. The reversal of 102212330232 is 232033212201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102212330199 and 102212330208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212330239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4363 + ... + 452154.

It is an arithmetic number, because the mean of its divisors is an integer number (4211378550).

Almost surely, 2102212330232 is an apocalyptic number.

102212330232 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 102212330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134764113600).

102212330232 is an abundant number, since it is smaller than the sum of its proper divisors (167315896968).

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

102212330232 is a wasteful number, since it uses less digits than its factorization.

102212330232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457036 (or 457032 counting only the distinct ones).

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

Adding to 102212330232 its reverse (232033212201), we get a palindrome (334245542433).

The spelling of 102212330232 in words is "one hundred two billion, two hundred twelve million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 491 982 1473 1964 2946 3928 5892 9329 11784 18658 27987 37316 55974 74632 111948 223896 456517 913034 1369551 1826068 2739102 3652136 5478204 8673823 10956408 17347646 26021469 34695292 52042938 69390584 104085876 208171752 224149847 448299694 672449541 896599388 1344899082 1793198776 2689798164 4258847093 5379596328 8517694186 12776541279 17035388372 25553082558 34070776744 51106165116 102212330232