Search a number
-
+
2103114446400 = 26352111071911949
BaseRepresentation
bin11110100110101011011…
…000111011011001000000
321110001111122212110111110
4132212223120323121000
5233424134244241100
64250054001243320
7304642064560152
oct36465330733100
97401448773443
102103114446400
11740a20305630
1229b720933540
131234273894b6
1473b113c8ad2
1539a90866250
hex1e9ab63b640

2103114446400 has 672 divisors, whose sum is σ = 7641282355200. Its totient is φ = 502178816000.

The previous prime is 2103114446369. The next prime is 2103114446431. The reversal of 2103114446400 is 46444113012.

It is an interprime number because it is at equal distance from previous prime (2103114446369) and next prime (2103114446431).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1079072626 + ... + 1079074574.

Almost surely, 22103114446400 is an apocalyptic number.

2103114446400 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 2103114446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820641177600).

2103114446400 is an abundant number, since it is smaller than the sum of its proper divisors (5538167908800).

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

2103114446400 is a wasteful number, since it uses less digits than its factorization.

2103114446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 2103114446400 its reverse (46444113012), we get a palindrome (2149558559412).

The spelling of 2103114446400 in words is "two trillion, one hundred three billion, one hundred fourteen million, four hundred forty-six thousand, four hundred".