Search a number
-
+
1300032330000 = 24354174359281
BaseRepresentation
bin10010111010101111111…
…101110001100100010000
311121021121111011222122120
4102322233331301210100
5132244431234030000
62433120540334240
7162632004323055
oct22725775614420
94537544158576
101300032330000
114613823a41a8
1218bb56244380
1395791a06b11
1446cc99a302c
1523c3bbae6a0
hex12eaff71910

1300032330000 has 400 divisors, whose sum is σ = 4546955958336. Its totient is φ = 318689280000.

The previous prime is 1300032329987. The next prime is 1300032330049. The reversal of 1300032330000 is 332300031.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21900360 + ... + 21959640.

Almost surely, 21300032330000 is an apocalyptic number.

1300032330000 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 1300032330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273477979168).

1300032330000 is an abundant number, since it is smaller than the sum of its proper divisors (3246923628336).

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

1300032330000 is a wasteful number, since it uses less digits than its factorization.

1300032330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59372 (or 59351 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 1300032330000 its reverse (332300031), we get a palindrome (1300364630031).

The spelling of 1300032330000 in words is "one trillion, three hundred billion, thirty-two million, three hundred thirty thousand".