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1111132112004 = 2232256571202977
BaseRepresentation
bin10000001010110100101…
…000101000010010000100
310221020000201002122120100
4100022310220220102010
5121201044310041004
62210240321204100
7143163614055405
oct20126450502204
93836021078510
101111132112004
11399257123562
1215b417a90630
1380a191aa7b5
143bac9b279ac
151dd82e39739
hex102b4a28484

1111132112004 has 36 divisors (see below), whose sum is σ = 2808806866684. Its totient is φ = 370362627072.

The previous prime is 1111132112003. The next prime is 1111132112009. The reversal of 1111132112004 is 4002112311111.

It can be written as a sum of positive squares in 2 ways, for example, as 197578472004 + 913553640000 = 444498^2 + 955800^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11111321120042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1111132112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322164 + ... + 1525140.

Almost surely, 21111132112004 is an apocalyptic number.

It is an amenable number.

1111132112004 is an abundant number, since it is smaller than the sum of its proper divisors (1697674754680).

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

1111132112004 is a wasteful number, since it uses less digits than its factorization.

1111132112004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228644 (or 1228639 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1111132112004 its reverse (4002112311111), we get a palindrome (5113244423115).

The spelling of 1111132112004 in words is "one trillion, one hundred eleven billion, one hundred thirty-two million, one hundred twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 25657 51314 76971 102628 153942 230913 307884 461826 923652 1202977 2405954 3608931 4811908 7217862 10826793 14435724 21653586 43307172 30864780889 61729561778 92594342667 123459123556 185188685334 277783028001 370377370668 555566056002 1111132112004