Search a number
-
+
1111700056320 = 283357171941347
BaseRepresentation
bin10000001011010110011…
…111001010100100000000
310221021111021210012201000
4100023112133022210000
5121203230203300240
62210412530212000
7143213651364630
oct20132637124400
93837437705630
101111700056320
11399518777527
1215b556124000
1380aa9a61819
143bb413286c0
151ddb7c24430
hex102d67ca900

1111700056320 has 2304 divisors, whose sum is σ = 5162417971200. Its totient is φ = 220405432320.

The previous prime is 1111700056319. The next prime is 1111700056381. The reversal of 1111700056320 is 236500071111.

1111700056320 is a `hidden beast` number, since 1 + 1 + 11 + 70 + 0 + 0 + 563 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3203746387 + ... + 3203746733.

It is an arithmetic number, because the mean of its divisors is an integer number (2240632800).

Almost surely, 21111700056320 is an apocalyptic number.

1111700056320 is a gapful number since it is divisible by the number (10) 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 1111700056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581208985600).

1111700056320 is an abundant number, since it is smaller than the sum of its proper divisors (4050717914880).

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

1111700056320 is a wasteful number, since it uses less digits than its factorization.

1111700056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 1111700056320 in words is "one trillion, one hundred eleven billion, seven hundred million, fifty-six thousand, three hundred twenty".