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103022121220200 = 2332527213375979521
BaseRepresentation
bin10111011011001010110100…
…111100000111100001101000
3111111202211002202120020001200
4113123022310330013201220
5102000403301013021300
61003035413100444200
730462050126520600
oct2733126474074150
9444684082506050
10103022121220200
112a90a488714016
12b67a463b49660
134563c3795b250
141b62423a01c00
15bd9c960d9200
hex5db2b4f07868

103022121220200 has 3456 divisors, whose sum is σ = 459297978048000. Its totient is φ = 20488030617600.

The previous prime is 103022121220159. The next prime is 103022121220211. The reversal of 103022121220200 is 2022121220301.

103022121220200 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 221 + 21 + 220 + 200 = 666.

103022121220200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030221212202002 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 197739195940 + ... + 197739196460.

It is an arithmetic number, because the mean of its divisors is an integer number (132898720500).

Almost surely, 2103022121220200 is an apocalyptic number.

103022121220200 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 103022121220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229648989024000).

103022121220200 is an abundant number, since it is smaller than the sum of its proper divisors (356275856827800).

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

103022121220200 is a wasteful number, since it uses less digits than its factorization.

103022121220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 103022121220200 its reverse (2022121220301), we get a palindrome (105044242440501).

The spelling of 103022121220200 in words is "one hundred three trillion, twenty-two billion, one hundred twenty-one million, two hundred twenty thousand, two hundred".