Search a number
-
+
2130121301000 = 2353711171799091
BaseRepresentation
bin11110111111110101000…
…111111001110000001000
321112122012211000211021112
4132333311013321300020
5234344442023113000
64310321512025452
7306616251212450
oct36776507716010
97478184024245
102130121301000
11751419a40180
122a49b9392288
13125b3c5ca034
14751540d2d60
153a621802235
hex1eff51f9c08

2130121301000 has 512 divisors, whose sum is σ = 6617463091200. Its totient is φ = 621319680000.

The previous prime is 2130121300997. The next prime is 2130121301003. The reversal of 2130121301000 is 1031210312.

It is an interprime number because it is at equal distance from previous prime (2130121300997) and next prime (2130121301003).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2130121301003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234306455 + ... + 234315545.

It is an arithmetic number, because the mean of its divisors is an integer number (12924732600).

Almost surely, 22130121301000 is an apocalyptic number.

2130121301000 is a gapful number since it is divisible by the number (20) 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 2130121301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308731545600).

2130121301000 is an abundant number, since it is smaller than the sum of its proper divisors (4487341790200).

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

2130121301000 is a wasteful number, since it uses less digits than its factorization.

2130121301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9326 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2130121301000 its reverse (1031210312), we get a palindrome (2131152511312).

The spelling of 2130121301000 in words is "two trillion, one hundred thirty billion, one hundred twenty-one million, three hundred one thousand".