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10012332330 = 232571113283103
BaseRepresentation
bin10010101001100100…
…00001000100101010
3221211202222011220100
421110302001010222
5131001124113310
64333303010230
7503054264160
oct112462010452
927752864810
1010012332330
114278778520
121b35139976
13c37417800
146ada53230
153d8ee6ec0
hex254c8112a

10012332330 has 576 divisors, whose sum is σ = 35912927232. Its totient is φ = 1878888960.

The previous prime is 10012332299. The next prime is 10012332367. The reversal of 10012332330 is 3323321001.

10012332330 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 332 + 330 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 97207059 + ... + 97207161.

It is an arithmetic number, because the mean of its divisors is an integer number (62348832).

Almost surely, 210012332330 is an apocalyptic number.

10012332330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012332330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956463616).

10012332330 is an abundant number, since it is smaller than the sum of its proper divisors (25900594902).

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

10012332330 is a wasteful number, since it uses less digits than its factorization.

10012332330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10012332330 its reverse (3323321001), we get a palindrome (13335653331).

The spelling of 10012332330 in words is "ten billion, twelve million, three hundred thirty-two thousand, three hundred thirty".