Search a number
-
+
1111038334380 = 2233513179539769
BaseRepresentation
bin10000001010101111000…
…010111001010110101100
310221012210011122020212000
4100022233002321112230
5121200401303200010
62210223131212300
7143161365010302
oct20125702712654
93835704566760
101111038334380
113992091a1a97
1215b3b05a7090
1380a02935290
143babb4b6272
151dd79ab37c0
hex102af0b95ac

1111038334380 has 384 divisors, whose sum is σ = 3945960748800. Its totient is φ = 257102512128.

The previous prime is 1111038334379. The next prime is 1111038334381. The reversal of 1111038334380 is 834338301111.

1111038334380 is a `hidden beast` number, since 111 + 103 + 8 + 3 + 3 + 438 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1111038334379) and next prime (1111038334381).

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

It is not an unprimeable number, because it can be changed into a prime (1111038334381) 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 127 ways as a sum of consecutive naturals, for example, 113726136 + ... + 113735904.

It is an arithmetic number, because the mean of its divisors is an integer number (10275939450).

Almost surely, 21111038334380 is an apocalyptic number.

1111038334380 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 1111038334380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972980374400).

1111038334380 is an abundant number, since it is smaller than the sum of its proper divisors (2834922414420).

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

1111038334380 is a wasteful number, since it uses less digits than its factorization.

1111038334380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10770 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1111038334380 in words is "one trillion, one hundred eleven billion, thirty-eight million, three hundred thirty-four thousand, three hundred eighty".