Search a number
-
+
1054322381700 = 223452724756519
BaseRepresentation
bin11110101011110101000…
…00101101001110000100
310201210101112120100010000
433111322200231032010
5114233223012203300
62124203215401300
7136113043243500
oct17257240551604
93653345510100
101054322381700
11377154553325
12150402523230
1378564693273
143905ac49300
151c65a811c00
hexf57a82d384

1054322381700 has 540 divisors, whose sum is σ = 4060348871040. Its totient is φ = 235856396160.

The previous prime is 1054322381689. The next prime is 1054322381737. The reversal of 1054322381700 is 71832234501.

1054322381700 is a `hidden beast` number, since 10 + 543 + 2 + 2 + 38 + 1 + 70 + 0 = 666.

1054322381700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×10543223817002 (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 an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 18626041 + ... + 18682559.

It is an arithmetic number, because the mean of its divisors is an integer number (7519164576).

Almost surely, 21054322381700 is an apocalyptic number.

1054322381700 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 1054322381700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030174435520).

1054322381700 is an abundant number, since it is smaller than the sum of its proper divisors (3006026489340).

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

1054322381700 is a wasteful number, since it uses less digits than its factorization.

1054322381700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56606 (or 56583 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1054322381700 in words is "one trillion, fifty-four billion, three hundred twenty-two million, three hundred eighty-one thousand, seven hundred".