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2024020020020 = 225149679201349
BaseRepresentation
bin11101011101000000111…
…111101000101100110100
321011111100102202021222012
4131131000333220230310
5231130143111120040
64145453313223352
7266142050206655
oct35350077505464
97144312667865
102024020020020
117104225983a9
12288328261b58
13118b30a4cc7b
146dd6aa1b52c
15379b1b25865
hex1d740fe8b34

2024020020020 has 24 divisors (see below), whose sum is σ = 4278968505000. Its totient is φ = 804174396032.

The previous prime is 2024020020013. The next prime is 2024020020023. The reversal of 2024020020020 is 200200204202.

It can be written as a sum of positive squares in 4 ways, for example, as 365091475984 + 1658928544036 = 604228^2 + 1287994^2 .

It is a super-2 number, since 2×20240200200202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2024020019977 and 2024020020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024020020023) 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, 339597695 + ... + 339603654.

It is an arithmetic number, because the mean of its divisors is an integer number (178290354375).

Almost surely, 22024020020020 is an apocalyptic number.

2024020020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024020020020 is an abundant number, since it is smaller than the sum of its proper divisors (2254948484980).

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

2024020020020 is a wasteful number, since it uses less digits than its factorization.

2024020020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679201507 (or 679201505 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 2024020020020 its reverse (200200204202), we get a palindrome (2224220224222).

The spelling of 2024020020020 in words is "two trillion, twenty-four billion, twenty million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 679201349 1358402698 2716805396 3396006745 6792013490 13584026980 101201001001 202402002002 404804004004 506005005005 1012010010010 2024020020020