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10330004132 = 22719103318797
BaseRepresentation
bin10011001111011011…
…10101101010100100
3222122220201120200122
421213231311222210
5132123440113012
64425011501112
7513662405060
oct114755655244
928586646618
1010330004132
114421021aa8
1220035b7798
13c881920a6
146ddd06aa0
15406d46e72
hex267b75aa4

10330004132 has 48 divisors (see below), whose sum is σ = 21769587840. Its totient is φ = 4189853952.

The previous prime is 10330004129. The next prime is 10330004147. The reversal of 10330004132 is 23140003301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10330004132.

It is an unprimeable number.

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, 540158 + ... + 558954.

It is an arithmetic number, because the mean of its divisors is an integer number (453533080).

Almost surely, 210330004132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10330004132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10884793920).

10330004132 is an abundant number, since it is smaller than the sum of its proper divisors (11439583708).

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

10330004132 is a wasteful number, since it uses less digits than its factorization.

10330004132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19860 (or 19858 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10330004132 its reverse (23140003301), we get a palindrome (33470007433).

The spelling of 10330004132 in words is "ten billion, three hundred thirty million, four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 1033 2066 4132 7231 14462 18797 19627 28924 37594 39254 75188 78508 131579 137389 263158 274778 357143 526316 549556 714286 1428572 2500001 5000002 10000004 19417301 38834602 77669204 135921107 271842214 368928719 543684428 737857438 1475714876 2582501033 5165002066 10330004132