Search a number
-
+
2100922562304 = 2834717391931
BaseRepresentation
bin11110100100101000101…
…111100011011100000000
321102211211220110012210000
4132210220233203130000
5233410142133443204
64245052301440000
7304533551062416
oct36445057433400
97384756405700
102100922562304
1173aaa6019675
1229b20a870000
13123168239c67
14739842612b6
15399b31ee039
hex1e928be3700

2100922562304 has 360 divisors, whose sum is σ = 6364695173760. Its totient is φ = 689152665600.

The previous prime is 2100922562293. The next prime is 2100922562309. The reversal of 2100922562304 is 4032652290012.

2100922562304 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 9 + 2 + 25 + 623 + 0 + 4 = 666.

It is a super-2 number, since 2×21009225623042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100922562309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1087996219 + ... + 1087998149.

It is an arithmetic number, because the mean of its divisors is an integer number (17679708816).

Almost surely, 22100922562304 is an apocalyptic number.

2100922562304 is a gapful number since it is divisible by the number (24) 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 2100922562304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182347586880).

2100922562304 is an abundant number, since it is smaller than the sum of its proper divisors (4263772611456).

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

2100922562304 is an equidigital number, since it uses as much as digits as its factorization.

2100922562304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2100922562304 in words is "two trillion, one hundred billion, nine hundred twenty-two million, five hundred sixty-two thousand, three hundred four".