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232120021020030 = 23251113476128322229
BaseRepresentation
bin110100110001110010100111…
…011001011110110101111110
31010102212110100100220012120200
4310301302213121132311332
5220411023300340120110
62141402244320424330
766615055336242303
oct6461624731366576
91112773310805520
10232120021020030
1167a62603566a30
122204a4b94780a6
139c69a935c9330
1441469518b90aa
151bc7e93a9e6c0
hexd31ca765ed7e

232120021020030 has 768 divisors, whose sum is σ = 738611165859840. Its totient is φ = 49825431244800.

The previous prime is 232120021019951. The next prime is 232120021020037. The reversal of 232120021020030 is 30020120021232.

232120021020030 is a `hidden beast` number, since 2 + 3 + 21 + 200 + 210 + 200 + 30 = 666.

It is a super-2 number, since 2×2321200210200302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232120021019985 and 232120021020012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232120021020037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10442204956 + ... + 10442227184.

It is an arithmetic number, because the mean of its divisors is an integer number (961733288880).

Almost surely, 2232120021020030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232120021020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369305582929920).

232120021020030 is an abundant number, since it is smaller than the sum of its proper divisors (506491144839810).

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

232120021020030 is a wasteful number, since it uses less digits than its factorization.

232120021020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22657 (or 22654 counting only the distinct ones).

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

Adding to 232120021020030 its reverse (30020120021232), we get a palindrome (262140141041262).

The spelling of 232120021020030 in words is "two hundred thirty-two trillion, one hundred twenty billion, twenty-one million, twenty thousand, thirty".