Search a number
-
+
1120100100000 = 2535571015281
BaseRepresentation
bin10000010011001011001…
…010110010011110100000
310222002011200221122100220
4100103023022302132200
5121322431111200000
62214322240243040
7143632060521120
oct20231312623640
93862150848326
101120100100000
113a203933a692
121610bb310480
138181813007b
143c2daba8c80
151e20a3e11a0
hex104cb2b27a0

1120100100000 has 576 divisors, whose sum is σ = 4242494962944. Its totient is φ = 253440000000.

The previous prime is 1120100099977. The next prime is 1120100100019. The reversal of 1120100100000 is 10010211.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 95 ways as a sum of consecutive naturals, for example, 212097360 + ... + 212102640.

It is an arithmetic number, because the mean of its divisors is an integer number (7365442644).

Almost surely, 21120100100000 is an apocalyptic number.

1120100100000 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 1120100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121247481472).

1120100100000 is an abundant number, since it is smaller than the sum of its proper divisors (3122394862944).

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

1120100100000 is an equidigital number, since it uses as much as digits as its factorization.

1120100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1120100100000 its reverse (10010211), we get a palindrome (1120110110211).

The spelling of 1120100100000 in words is "one trillion, one hundred twenty billion, one hundred million, one hundred thousand".