Search a number
-
+
1131110103300 = 2235219412971217
BaseRepresentation
bin10000011101011011011…
…010100111100100000100
311000010121000012202112220
4100131123122213210010
5122013003141301200
62223342543012340
7144501651146112
oct20353332474404
94003530182486
101131110103300
113a6779190071
1216327259a0b0
138288114a918
143ca63120ab2
151e651ca94a0
hex1075b6a7904

1131110103300 has 432 divisors, whose sum is σ = 3570330025920. Its totient is φ = 275683737600.

The previous prime is 1131110103283. The next prime is 1131110103301. The reversal of 1131110103300 is 33010111311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1131110103300.

It is not an unprimeable number, because it can be changed into a prime (1131110103301) 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 143 ways as a sum of consecutive naturals, for example, 929424292 + ... + 929425508.

Almost surely, 21131110103300 is an apocalyptic number.

1131110103300 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 1131110103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785165012960).

1131110103300 is an abundant number, since it is smaller than the sum of its proper divisors (2439219922620).

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

1131110103300 is a wasteful number, since it uses less digits than its factorization.

1131110103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1131110103300 its reverse (33010111311), we get a palindrome (1164120214611).

The spelling of 1131110103300 in words is "one trillion, one hundred thirty-one billion, one hundred ten million, one hundred three thousand, three hundred".