Search a number
-
+
1112210110200 = 233527432197727
BaseRepresentation
bin10000001011110100111…
…000110111011011111000
310221022210211112122002110
4100023310320313123320
5121210301242011300
62210535310332320
7143232413644320
oct20136470673370
93838724478073
101112210110200
1139975a680562
1215b678aba0a0
1380b5b626b57
143bb8cd7a280
151dde78c6550
hex102f4e376f8

1112210110200 has 576 divisors, whose sum is σ = 4060225128960. Its totient is φ = 246707112960.

The previous prime is 1112210110183. The next prime is 1112210110201. The reversal of 1112210110200 is 20110122111.

It is a super-4 number, since 4×11122101102004 (a number of 49 digits) contains 4444 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112210110201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1529862237 + ... + 1529862963.

It is an arithmetic number, because the mean of its divisors is an integer number (7049001960).

Almost surely, 21112210110200 is an apocalyptic number.

1112210110200 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 1112210110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030112564480).

1112210110200 is an abundant number, since it is smaller than the sum of its proper divisors (2948015018760).

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

1112210110200 is a wasteful number, since it uses less digits than its factorization.

1112210110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1112210110200 its reverse (20110122111), we get a palindrome (1132320232311).

The spelling of 1112210110200 in words is "one trillion, one hundred twelve billion, two hundred ten million, one hundred ten thousand, two hundred".