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1113310331100 = 22325211151744739
BaseRepresentation
bin10000001100110110011…
…101111000000011011100
310221102122111210122102200
4100030312131320003130
5121220024421043400
62211240412051500
7143301603450402
oct20146635700334
93842574718380
101113310331100
1139a174726830
1215b925463b90
1380ca5554236
143bc55135472
151de5e2a2b00
hex103367780dc

1113310331100 has 216 divisors, whose sum is σ = 3832062648960. Its totient is φ = 268105680000.

The previous prime is 1113310331099. The next prime is 1113310331101. The reversal of 1113310331100 is 11330133111.

1113310331100 is a `hidden beast` number, since 1 + 1 + 1 + 331 + 0 + 331 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1113310331099) and next prime (1113310331101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113310331101) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1122531 + ... + 1867269.

Almost surely, 21113310331100 is an apocalyptic number.

1113310331100 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 1113310331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916031324480).

1113310331100 is an abundant number, since it is smaller than the sum of its proper divisors (2718752317860).

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

1113310331100 is a wasteful number, since it uses less digits than its factorization.

1113310331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744921 (or 744911 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1113310331100 its reverse (11330133111), we get a palindrome (1124640464211).

The spelling of 1113310331100 in words is "one trillion, one hundred thirteen billion, three hundred ten million, three hundred thirty-one thousand, one hundred".