Search a number
-
+
2120131313100 = 2232523773872159
BaseRepresentation
bin11110110110100001101…
…011000111110111001100
321111200102121002212011200
4132312201223013313030
5234214012104004400
64301550323545500
7306113554550343
oct36664153076714
97450377085150
102120131313100
11748162944429
122a2a8b82b290
13124c09a06aa8
1474887418b5a
153a239770b00
hex1eda1ac7dcc

2120131313100 has 216 divisors, whose sum is σ = 6918541768320. Its totient is φ = 542552048640.

The previous prime is 2120131313093. The next prime is 2120131313117. The reversal of 2120131313100 is 13131310212.

2120131313100 is a `hidden beast` number, since 2 + 120 + 131 + 313 + 100 = 666.

It is a super-2 number, since 2×21201313131002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1994821 + ... + 2866979.

Almost surely, 22120131313100 is an apocalyptic number.

2120131313100 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 2120131313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459270884160).

2120131313100 is an abundant number, since it is smaller than the sum of its proper divisors (4798410455220).

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

2120131313100 is a wasteful number, since it uses less digits than its factorization.

2120131313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872289 (or 872279 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2120131313100 its reverse (13131310212), we get a palindrome (2133262623312).

The spelling of 2120131313100 in words is "two trillion, one hundred twenty billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred".