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10132223220 = 22325761241547
BaseRepresentation
bin10010110111110110…
…10111010011110100
3222011010120021021200
421123323113103310
5131222322120340
64353224412500
7506041322250
oct113373272364
928133507250
1010132223220
11432a4152a9
121b69317130
13c56203b72
146c1941260
153e47ca330
hex25bed74f4

10132223220 has 288 divisors, whose sum is σ = 35914534656. Its totient is φ = 2264371200.

The previous prime is 10132223183. The next prime is 10132223239. The reversal of 10132223220 is 2232223101.

10132223220 is a `hidden beast` number, since 101 + 322 + 23 + 220 = 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 = 10132223193 and 10132223202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18522987 + ... + 18523533.

Almost surely, 210132223220 is an apocalyptic number.

10132223220 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 10132223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17957267328).

10132223220 is an abundant number, since it is smaller than the sum of its proper divisors (25782311436).

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

10132223220 is a wasteful number, since it uses less digits than its factorization.

10132223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10132223220 its reverse (2232223101), we get a palindrome (12364446321).

The spelling of 10132223220 in words is "ten billion, one hundred thirty-two million, two hundred twenty-three thousand, two hundred twenty".