Search a number
-
+
1111120010000 = 245471121310091
BaseRepresentation
bin10000001010110011111…
…010011101101100010000
310221012222212022210201222
4100022303322131230100
5121201033210310000
62210235205544212
7143163406152530
oct20126372355420
93835885283658
101111120010000
11399250308100
1215b413a15068
1380a16831250
143bac82974c0
151dd81d48a85
hex102b3e9db10

1111120010000 has 600 divisors, whose sum is σ = 3639650089152. Its totient is φ = 319651200000.

The previous prime is 1111120009963. The next prime is 1111120010027. The reversal of 1111120010000 is 100211111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1111120010000.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 110104955 + ... + 110115045.

Almost surely, 21111120010000 is an apocalyptic number.

1111120010000 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 1111120010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819825044576).

1111120010000 is an abundant number, since it is smaller than the sum of its proper divisors (2528530079152).

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

1111120010000 is a wasteful number, since it uses less digits than its factorization.

1111120010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1111120010000 its reverse (100211111), we get a palindrome (1111220221111).

The spelling of 1111120010000 in words is "one trillion, one hundred eleven billion, one hundred twenty million, ten thousand".