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20001400020 = 223257591132381
BaseRepresentation
bin10010101000001011…
…010010010011010100
31220121221011101201100
4102220023102103110
5311430324300040
613104415230100
71305440044410
oct225013222324
956557141640
1020001400020
1185342a5968
123a62518330
131b69a77c54
14d7a56bd40
157c0e45b30
hex4a82d24d4

20001400020 has 288 divisors, whose sum is σ = 71167299840. Its totient is φ = 4452618240.

The previous prime is 20001400019. The next prime is 20001400037. The reversal of 20001400020 is 2000410002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20001399975 and 20001400011.

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, 8399230 + ... + 8401610.

It is an arithmetic number, because the mean of its divisors is an integer number (247108680).

Almost surely, 220001400020 is an apocalyptic number.

20001400020 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 20001400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35583649920).

20001400020 is an abundant number, since it is smaller than the sum of its proper divisors (51165899820).

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

20001400020 is a wasteful number, since it uses less digits than its factorization.

20001400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20001400020 its reverse (2000410002), we get a palindrome (22001810022).

The spelling of 20001400020 in words is "twenty billion, one million, four hundred thousand, twenty".