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20020801320 = 23335132229479
BaseRepresentation
bin10010101001010101…
…010010111100101000
31220200021200002022000
4102221111102330220
5312000311120240
613110351131000
71306064001102
oct225125227450
956607602260
1020020801320
1185442473a3
123a68b13a60
131b70aaba00
14d7cd7c572
157c29c9430
hex4a9552f28

20020801320 has 384 divisors, whose sum is σ = 72731520000. Its totient is φ = 4896433152.

The previous prime is 20020801319. The next prime is 20020801379. The reversal of 20020801320 is 2310802002.

It is a happy number.

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 = 20020801293 and 20020801302.

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, 41796841 + ... + 41797319.

It is an arithmetic number, because the mean of its divisors is an integer number (189405000).

Almost surely, 220020801320 is an apocalyptic number.

20020801320 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 20020801320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36365760000).

20020801320 is an abundant number, since it is smaller than the sum of its proper divisors (52710718680).

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

20020801320 is a wasteful number, since it uses less digits than its factorization.

20020801320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 20020801320 in words is "twenty billion, twenty million, eight hundred one thousand, three hundred twenty".