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103334022113200 = 24521994730834657
BaseRepresentation
bin10111011111101101010011…
…101011100110011110110000
3111112212122011200010020220121
4113133231103223212132300
5102021011034130110300
61003434554443220024
730523431253414264
oct2737552353463660
9445778150106817
10103334022113200
112aa1a79263037a
12b70a9aab17614
134587483231478
141b735715240a4
15be2e4d48d81a
hex5dfb53ae67b0

103334022113200 has 240 divisors, whose sum is σ = 261743300392320. Its totient is φ = 39095721308160.

The previous prime is 103334022113137. The next prime is 103334022113207. The reversal of 103334022113200 is 2311220433301.

It is a super-2 number, since 2×1033340221132002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (103334022113207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22188965272 + ... + 22188969928.

It is an arithmetic number, because the mean of its divisors is an integer number (1090597084968).

Almost surely, 2103334022113200 is an apocalyptic number.

103334022113200 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 103334022113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130871650196160).

103334022113200 is an abundant number, since it is smaller than the sum of its proper divisors (158409278279120).

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

103334022113200 is a wasteful number, since it uses less digits than its factorization.

103334022113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724 (or 8713 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 103334022113200 its reverse (2311220433301), we get a palindrome (105645242546501).

The spelling of 103334022113200 in words is "one hundred three trillion, three hundred thirty-four billion, twenty-two million, one hundred thirteen thousand, two hundred".