Search a number
-
+
1112011010000 = 2454111012991
BaseRepresentation
bin10000001011101001000…
…001010110111111010000
310221022021221220021221222
4100023221001112333100
5121204344304310000
62210503435104212
7143224445425262
oct20135101267720
93838257807858
101112011010000
11399668252640
1215b6222a2068
1380b292c6297
143bb7074db32
151ddd5198a85
hex102e9056fd0

1112011010000 has 300 divisors, whose sum is σ = 2969404386432. Its totient is φ = 399960000000.

The previous prime is 1112011009937. The next prime is 1112011010017. The reversal of 1112011010000 is 101102111.

It is a happy number.

It is a super-3 number, since 3×11120110100003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 1112011010000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1122109505 + ... + 1122110495.

Almost surely, 21112011010000 is an apocalyptic number.

1112011010000 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 1112011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484702193216).

1112011010000 is an abundant number, since it is smaller than the sum of its proper divisors (1857393376432).

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

1112011010000 is an equidigital number, since it uses as much as digits as its factorization.

1112011010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1110 counting only the distinct ones).

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

Adding to 1112011010000 its reverse (101102111), we get a palindrome (1112112112111).

The spelling of 1112011010000 in words is "one trillion, one hundred twelve billion, eleven million, ten thousand".