Search a number
-
+
2131131001020 = 2235746112898539
BaseRepresentation
bin11111000000110001010…
…011100110100010111100
321112201211011221220022120
4133000301103212202330
5234404024014013040
64311010021242540
7306653261423340
oct37006123464274
97481734856276
102131131001020
117518979897aa
122a503b563450
13125c70852378
147520c247620
153a68029c7d0
hex1f0314e68bc

2131131001020 has 192 divisors, whose sum is σ = 6840515404800. Its totient is φ = 485625047040.

The previous prime is 2131131001019. The next prime is 2131131001037. The reversal of 2131131001020 is 201001311312.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249571911 + ... + 249580449.

It is an arithmetic number, because the mean of its divisors is an integer number (35627684400).

Almost surely, 22131131001020 is an apocalyptic number.

2131131001020 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 2131131001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420257702400).

2131131001020 is an abundant number, since it is smaller than the sum of its proper divisors (4709384403780).

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

2131131001020 is a wasteful number, since it uses less digits than its factorization.

2131131001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10308 (or 10306 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2131131001020 its reverse (201001311312), we get a palindrome (2332132312332).

The spelling of 2131131001020 in words is "two trillion, one hundred thirty-one billion, one hundred thirty-one million, one thousand, twenty".