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1113001221330 = 2325372003166867
BaseRepresentation
bin10000001100100100000…
…010101101110011010010
310221101211222011020112200
4100030210002231303102
5121213411303040310
62211150010504030
7143261131166625
oct20144402556322
93841758136480
101113001221330
1139a0261a0009
1215b859a35016
1380c564b6b4b
143bc2606ddbc
151de420949c0
hex103240adcd2

1113001221330 has 96 divisors (see below), whose sum is σ = 2973515673024. Its totient is φ = 288632792448.

The previous prime is 1113001221307. The next prime is 1113001221337. The reversal of 1113001221330 is 331221003111.

1113001221330 is a `hidden beast` number, since 1 + 1 + 1 + 300 + 12 + 21 + 330 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1113001221337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6586557 + ... + 6753423.

It is an arithmetic number, because the mean of its divisors is an integer number (30974121594).

Almost surely, 21113001221330 is an apocalyptic number.

1113001221330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113001221330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486757836512).

1113001221330 is an abundant number, since it is smaller than the sum of its proper divisors (1860514451694).

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

1113001221330 is a wasteful number, since it uses less digits than its factorization.

1113001221330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168920 (or 168917 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1113001221330 its reverse (331221003111), we get a palindrome (1444222224441).

It can be divided in two parts, 1113001 and 221330, that added together give a palindrome (1334331).

The spelling of 1113001221330 in words is "one trillion, one hundred thirteen billion, one million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 2003 3330 4006 6009 10015 12018 18027 20030 30045 36054 60090 74111 90135 148222 166867 180270 222333 333734 370555 444666 500601 666999 741110 834335 1001202 1111665 1333998 1501803 1668670 2223330 2503005 3003606 3334995 5006010 6174079 6669990 7509015 12348158 15018030 18522237 30870395 37044474 55566711 61740790 92611185 111133422 185222370 277833555 334234601 555667110 668469202 1002703803 1671173005 2005407606 3008111409 3342346010 5013519015 6016222818 10027038030 12366680237 15040557045 24733360474 30081114090 37100040711 61833401185 74200081422 111300122133 123666802370 185500203555 222600244266 371000407110 556500610665 1113001221330