Search a number
-
+
20120102020 = 2256367158003
BaseRepresentation
bin10010101111010000…
…000110010010000100
31220221012112002020201
4102233100012102010
5312201221231040
613124255340244
71311411021364
oct225720062204
956835462221
1020120102020
118595300497
123a96221684
131b88539115
14d8c22a9a4
157cb591a9a
hex4af406484

20120102020 has 24 divisors (see below), whose sum is σ = 42259117824. Its totient is φ = 8046725856.

The previous prime is 20120102011. The next prime is 20120102029. The reversal of 20120102020 is 2020102102.

It is an interprime number because it is at equal distance from previous prime (20120102011) and next prime (20120102029).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20120101988 and 20120102006.

It is not an unprimeable number, because it can be changed into a prime (20120102029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48339 + ... + 206341.

It is an arithmetic number, because the mean of its divisors is an integer number (1760796576).

Almost surely, 220120102020 is an apocalyptic number.

20120102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120102020 is an abundant number, since it is smaller than the sum of its proper divisors (22139015804).

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

20120102020 is a wasteful number, since it uses less digits than its factorization.

20120102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164379 (or 164377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20120102020 its reverse (2020102102), we get a palindrome (22140204122).

The spelling of 20120102020 in words is "twenty billion, one hundred twenty million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 6367 12734 25468 31835 63670 127340 158003 316006 632012 790015 1580030 3160060 1006005101 2012010202 4024020404 5030025505 10060051010 20120102020