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32130230123232 = 25321983538113147
BaseRepresentation
bin1110100111000111001101…
…11100111111101011100000
311012202121201222111022210200
413103203212330333223200
513202410202402420412
6152200231323425200
76524222024566653
oct723434674775340
9135677658438720
1032130230123232
11a2683992a8a5a
12372b079085200
1314c0b3844b527
147d117bac989a
153aabaae249dc
hex1d38e6f3fae0

32130230123232 has 288 divisors, whose sum is σ = 97363588533120. Its totient is φ = 10021517614080.

The previous prime is 32130230123179. The next prime is 32130230123239. The reversal of 32130230123232 is 23232103203123.

32130230123232 is a `hidden beast` number, since 3 + 2 + 1 + 30 + 2 + 301 + 2 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×321302301232322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32130230123196 and 32130230123205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32130230123239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2443914483 + ... + 2443927629.

It is an arithmetic number, because the mean of its divisors is an integer number (338068015740).

Almost surely, 232130230123232 is an apocalyptic number.

32130230123232 is a gapful number since it is divisible by the number (32) 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 32130230123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48681794266560).

32130230123232 is an abundant number, since it is smaller than the sum of its proper divisors (65233358409888).

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

32130230123232 is a wasteful number, since it uses less digits than its factorization.

32130230123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18646 (or 18635 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 32130230123232 its reverse (23232103203123), we get a palindrome (55362333326355).

The spelling of 32130230123232 in words is "thirty-two trillion, one hundred thirty billion, two hundred thirty million, one hundred twenty-three thousand, two hundred thirty-two".