Search a number
-
+
10333020132 = 22325334715607
BaseRepresentation
bin10011001111110010…
…10101111111100100
3222200010101210212100
421213321111333210
5132130223121012
64425200252100
7514030136061
oct114771257744
928603353770
1010333020132
1144227a1a66
122004611030
13c889a9ac6
1470048dc68
154072408dc
hex267e55fe4

10333020132 has 72 divisors (see below), whose sum is σ = 26690803776. Its totient is φ = 3369397824.

The previous prime is 10333020119. The next prime is 10333020143. The reversal of 10333020132 is 23102033301.

10333020132 is a `hidden beast` number, since 103 + 330 + 201 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654273 + ... + 669879.

It is an arithmetic number, because the mean of its divisors is an integer number (370705608).

Almost surely, 210333020132 is an apocalyptic number.

10333020132 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 10333020132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345401888).

10333020132 is an abundant number, since it is smaller than the sum of its proper divisors (16357783644).

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

10333020132 is a wasteful number, since it uses less digits than its factorization.

10333020132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16017 (or 16012 counting only the distinct ones).

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

Adding to 10333020132 its reverse (23102033301), we get a palindrome (33435053433).

The spelling of 10333020132 in words is "ten billion, three hundred thirty-three million, twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 347 477 636 694 954 1041 1388 1908 2082 3123 4164 6246 12492 15607 18391 31214 36782 46821 55173 62428 73564 93642 110346 140463 165519 187284 220692 280926 331038 561852 662076 827171 1654342 2481513 3308684 4963026 5415629 7444539 9926052 10831258 14889078 16246887 21662516 29778156 32493774 48740661 64987548 97481322 194962644 287028337 574056674 861085011 1148113348 1722170022 2583255033 3444340044 5166510066 10333020132