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10001132130000 = 2435411177324421
BaseRepresentation
bin1001000110001001000111…
…1011011000111011010000
31022102002200002112102020010
42101202101323120323100
52302324304311130000
633134242350314520
72051362243316664
oct221422173307320
938362602472203
1010001132130000
1132065023a4050
121156352ab8a40
1357714487882b
142680b36328a4
15125244523d50
hex91891ed8ed0

10001132130000 has 800 divisors, whose sum is σ = 37804144701312. Its totient is φ = 2250547200000.

The previous prime is 10001132129941. The next prime is 10001132130019. The reversal of 10001132130000 is 3123110001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 409517790 + ... + 409542210.

Almost surely, 210001132130000 is an apocalyptic number.

10001132130000 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 10001132130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18902072350656).

10001132130000 is an abundant number, since it is smaller than the sum of its proper divisors (27803012571312).

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

10001132130000 is a wasteful number, since it uses less digits than its factorization.

10001132130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24553 (or 24532 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10001132130000 its reverse (3123110001), we get a palindrome (10004255240001).

The spelling of 10001132130000 in words is "ten trillion, one billion, one hundred thirty-two million, one hundred thirty thousand".