Search a number
-
+
1111120101120 = 283510123911987
BaseRepresentation
bin10000001010110011111…
…010110011111100000000
310221012222212111102201210
4100022303322303330000
5121201033221213440
62210235211530120
7143163410012301
oct20126372637400
93835885442653
101111120101120
1139925036a607
1215b413a59940
1380a16863873
143bac82bc7a8
151dd81d65a80
hex102b3eb3f00

1111120101120 has 288 divisors, whose sum is σ = 3599069967360. Its totient is φ = 292113203200.

The previous prime is 1111120101101. The next prime is 1111120101151. The reversal of 1111120101120 is 211010211111.

It is a super-2 number, since 2×11111201011202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1111120101096 and 1111120101105.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 92687767 + ... + 92699753.

It is an arithmetic number, because the mean of its divisors is an integer number (12496770720).

Almost surely, 21111120101120 is an apocalyptic number.

1111120101120 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 1111120101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799534983680).

1111120101120 is an abundant number, since it is smaller than the sum of its proper divisors (2487949866240).

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

1111120101120 is a wasteful number, since it uses less digits than its factorization.

1111120101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12351 (or 12337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1111120101120 its reverse (211010211111), we get a palindrome (1322130312231).

The spelling of 1111120101120 in words is "one trillion, one hundred eleven billion, one hundred twenty million, one hundred one thousand, one hundred twenty".