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10021002020020 = 2251729473535353
BaseRepresentation
bin1001000111010011001001…
…0001000000010010110100
31022110222221212020102010201
42101310302101000102310
52303141003004120040
633151330151130244
72052664525514335
oct221646221002264
938428855212121
1010021002020020
113213979436562
12115a179373984
13578c902c98c4
1426903a52a28c
15125a08b3da9a
hex91d324404b4

10021002020020 has 24 divisors (see below), whose sum is σ = 22281992727624. Its totient is φ = 3772612525056.

The previous prime is 10021002019999. The next prime is 10021002020027. The reversal of 10021002020020 is 2002020012001.

It can be written as a sum of positive squares in 4 ways, for example, as 2826043415056 + 7194958604964 = 1681084^2 + 2682342^2 .

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 = 10021002019979 and 10021002020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021002020027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14736767337 + ... + 14736768016.

It is an arithmetic number, because the mean of its divisors is an integer number (928416363651).

Almost surely, 210021002020020 is an apocalyptic number.

10021002020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021002020020 is an abundant number, since it is smaller than the sum of its proper divisors (12260990707604).

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

10021002020020 is a wasteful number, since it uses less digits than its factorization.

10021002020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29473535379 (or 29473535377 counting only the distinct ones).

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

Adding to 10021002020020 its reverse (2002020012001), we get a palindrome (12023022032021).

The spelling of 10021002020020 in words is "ten trillion, twenty-one billion, two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 29473535353 58947070706 117894141412 147367676765 294735353530 501050101001 589470707060 1002100202002 2004200404004 2505250505005 5010501010010 10021002020020