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20132023010220 = 2233511171979100741
BaseRepresentation
bin1001001001111010110100…
…00101001000001110101100
32122021121021022001022121000
410210331122011020032230
510114320340342311340
6110452305041240300
74145330204055132
oct444753205101654
978247238038530
1020132023010220
116461a4116a740
122311879933090
13b3059832b224
144d8576291752
1524da30604d30
hex124f5a1483ac

20132023010220 has 384 divisors, whose sum is σ = 72383368780800. Its totient is φ = 4591036108800.

The previous prime is 20132023010207. The next prime is 20132023010221. The reversal of 20132023010220 is 2201032023102.

20132023010220 is a `hidden beast` number, since 20 + 1 + 320 + 2 + 301 + 0 + 2 + 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 = 20132023010193 and 20132023010202.

It is not an unprimeable number, because it can be changed into a prime (20132023010221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199789050 + ... + 199889790.

It is an arithmetic number, because the mean of its divisors is an integer number (188498356200).

Almost surely, 220132023010220 is an apocalyptic number.

20132023010220 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 20132023010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36191684390400).

20132023010220 is an abundant number, since it is smaller than the sum of its proper divisors (52251345770580).

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

20132023010220 is a wasteful number, since it uses less digits than its factorization.

20132023010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102766 (or 102758 counting only the distinct ones).

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

Adding to 20132023010220 its reverse (2201032023102), we get a palindrome (22333055033322).

The spelling of 20132023010220 in words is "twenty trillion, one hundred thirty-two billion, twenty-three million, ten thousand, two hundred twenty".