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130132002000 = 243537111347461
BaseRepresentation
bin111100100110001111…
…0001100010011010000
3110102220010022122022210
41321030132030103100
54113002243031000
6135440512232120
712254535523560
oct1711436142320
9412803278283
10130132002000
11502091391a0
1221278b3b640
13c36b341620
146426c2ada0
1535b973a350
hex1e4c78c4d0

130132002000 has 1280 divisors, whose sum is σ = 576539099136. Its totient is φ = 24376320000.

The previous prime is 130132001983. The next prime is 130132002001. The reversal of 130132002000 is 200231031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130132002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 282281770 + ... + 282282230.

Almost surely, 2130132002000 is an apocalyptic number.

130132002000 is a gapful number since it is divisible by the number (10) 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 130132002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288269549568).

130132002000 is an abundant number, since it is smaller than the sum of its proper divisors (446407097136).

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

130132002000 is a wasteful number, since it uses less digits than its factorization.

130132002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 130132002000 its reverse (200231031), we get a palindrome (130332233031).

The spelling of 130132002000 in words is "one hundred thirty billion, one hundred thirty-two million, two thousand".