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10332100130220 = 22325111071732291231
BaseRepresentation
bin1001011001011010000100…
…1010000111010110101100
31100120201221211012212000100
42112112201022013112230
52323240120113131340
633550300135231100
72114320034024301
oct226264112072654
940521854185010
1010332100130220
113323901191260
1211aa51b518490
1359c40b48440b
1427a10d59b0a8
1512db657bb830
hex965a12875ac

10332100130220 has 576 divisors, whose sum is σ = 34888752138240. Its totient is φ = 2454231398400.

The previous prime is 10332100130189. The next prime is 10332100130257. The reversal of 10332100130220 is 2203100123301.

10332100130220 is a `hidden beast` number, since 1 + 0 + 332 + 10 + 0 + 1 + 302 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10332100130193 and 10332100130202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8393257005 + ... + 8393258235.

It is an arithmetic number, because the mean of its divisors is an integer number (60570750240).

Almost surely, 210332100130220 is an apocalyptic number.

10332100130220 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 10332100130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17444376069120).

10332100130220 is an abundant number, since it is smaller than the sum of its proper divisors (24556652008020).

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

10332100130220 is a wasteful number, since it uses less digits than its factorization.

10332100130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10332100130220 its reverse (2203100123301), we get a palindrome (12535200253521).

The spelling of 10332100130220 in words is "ten trillion, three hundred thirty-two billion, one hundred million, one hundred thirty thousand, two hundred twenty".