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20123132220 = 223251753127977
BaseRepresentation
bin10010101111011011…
…101010000100111100
31220221102020000220100
4102233123222010330
5312203010212340
613124444321100
71311445541652
oct225733520474
956842200810
1020123132220
118596a90094
123a97243190
131b8905a439
14d8c7b8dd2
157cb98e830
hex4af6ea13c

20123132220 has 288 divisors, whose sum is σ = 66436651008. Its totient is φ = 4911169536.

The previous prime is 20123132209. The next prime is 20123132231. The reversal of 20123132220 is 2223132102.

It is an interprime number because it is at equal distance from previous prime (20123132209) and next prime (20123132231).

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 = 20123132193 and 20123132202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20596372 + ... + 20597348.

It is an arithmetic number, because the mean of its divisors is an integer number (230682816).

Almost surely, 220123132220 is an apocalyptic number.

20123132220 is a gapful number since it is divisible by the number (20) 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 20123132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33218325504).

20123132220 is an abundant number, since it is smaller than the sum of its proper divisors (46313518788).

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

20123132220 is a wasteful number, since it uses less digits than its factorization.

20123132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1184 counting only the distinct ones).

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

Adding to 20123132220 its reverse (2223132102), we get a palindrome (22346264322).

The spelling of 20123132220 in words is "twenty billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred twenty".