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220103031132 = 223461711011553
BaseRepresentation
bin1100110011111100101…
…0011011100101011100
3210001010100200110220000
43030333022123211130
512101232333444012
6245040335454300
721621233616135
oct3147712334534
9701110613800
10220103031132
1185388472016
12367a8087390
13179a915c17a
14a91dd46c8c
155ad3292ddc
hex333f29b95c

220103031132 has 240 divisors, whose sum is σ = 599320016064. Its totient is φ = 70398720000.

The previous prime is 220103031131. The next prime is 220103031143. The reversal of 220103031132 is 231130301022.

220103031132 is a `hidden beast` number, since 220 + 10 + 303 + 1 + 132 = 666.

It is a super-2 number, since 2×2201030311322 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220103031131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141726868 + ... + 141728420.

Almost surely, 2220103031132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220103031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299660008032).

220103031132 is an abundant number, since it is smaller than the sum of its proper divisors (379216984932).

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

220103031132 is a wasteful number, since it uses less digits than its factorization.

220103031132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1791 counting only the distinct ones).

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

Adding to 220103031132 its reverse (231130301022), we get a palindrome (451233332154).

The spelling of 220103031132 in words is "two hundred twenty billion, one hundred three million, thirty-one thousand, one hundred thirty-two".