Search a number
-
+
130132303002 = 23413197313661
BaseRepresentation
bin111100100110001111…
…1010101110010011010
3110102220010212221020000
41321030133111302122
54113002332144002
6135440522513430
712254541216252
oct1711437256232
9412803787200
10130132303002
1150209324359
1221279065876
13c36b418630
146426ca8962
1535b979961c
hex1e4c7d5c9a

130132303002 has 80 divisors (see below), whose sum is σ = 315617996232. Its totient is φ = 39837329280.

The previous prime is 130132302959. The next prime is 130132303009. The reversal of 130132303002 is 200303231031.

130132303002 is a `hidden beast` number, since 1 + 301 + 32 + 30 + 300 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124842795561 + 5289507441 = 353331^2 + 72729^2 .

It is a super-3 number, since 3×1301323030023 (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (130132303009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 258052 + ... + 571712.

Almost surely, 2130132303002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130132303002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157808998116).

130132303002 is an abundant number, since it is smaller than the sum of its proper divisors (185485693230).

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

130132303002 is a wasteful number, since it uses less digits than its factorization.

130132303002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313885 (or 313876 counting only the distinct ones).

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

Adding to 130132303002 its reverse (200303231031), we get a palindrome (330435534033).

The spelling of 130132303002 in words is "one hundred thirty billion, one hundred thirty-two million, three hundred three thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 197 234 351 394 591 702 1053 1182 1773 2106 2561 3546 5122 5319 7683 10638 15366 15957 23049 31914 46098 69147 138294 207441 313661 414882 627322 940983 1881966 2822949 4077593 5645898 8155186 8468847 12232779 16937694 24465558 25406541 36698337 50813082 61791217 73396674 110095011 123582434 185373651 220190022 330285033 370747302 556120953 660570066 803285821 1112241906 1606571642 1668362859 2409857463 3336725718 4819714926 5005088577 7229572389 10010177154 14459144778 21688717167 43377434334 65066151501 130132303002