Search a number
-
+
1134885396100 = 22521065312
BaseRepresentation
bin10000100000111100011…
…100001101111010000100
311000111100010002111200011
4100200330130031322010
5122043221130133400
62225205324400004
7144664342462501
oct20407434157204
94014303074604
101134885396100
113a8336246465
12163b469a6004
13830333441a1
143cd006a04a8
151e7c34448ba
hex1083c70de84

1134885396100 has 27 divisors (see below), whose sum is σ = 2462724426981. Its totient is φ = 453949897200.

The previous prime is 1134885395993. The next prime is 1134885396157. The reversal of 1134885396100 is 16935884311.

The square root of 1134885396100 is 1065310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 408558742596 + 726326653504 = 639186^2 + 852248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10599835 + ... + 10706365.

Almost surely, 21134885396100 is an apocalyptic number.

1134885396100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1134885396100 is the 1065310-th square number.

It is an amenable number.

1134885396100 is an abundant number, since it is smaller than the sum of its proper divisors (1327839030881).

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

1134885396100 is an frugal number, since it uses more digits than its factorization.

1134885396100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213076 (or 106538 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

Multiplying 1134885396100 by its sum of digits (49), we get a square (55609384408900 = 74571702).

The spelling of 1134885396100 in words is "one trillion, one hundred thirty-four billion, eight hundred eighty-five million, three hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 106531 213062 426124 532655 1065310 2130620 2663275 5326550 10653100 11348853961 22697707922 45395415844 56744269805 113488539610 226977079220 283721349025 567442698050 1134885396100