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2024132303020 = 22517313719326893
BaseRepresentation
bin11101011101000111101…
…011111101100010101100
321011111122021000212021211
4131131013223331202230
5231130410332144040
64145512404004204
7266144612460442
oct35350753754254
97144567025254
102024132303020
1171047aa09273
12288359990664
13118b4b0a4509
146dd7b8c8b92
15379bb9048ea
hex1d747afd8ac

2024132303020 has 192 divisors, whose sum is σ = 4796368045056. Its totient is φ = 713769615360.

The previous prime is 2024132302987. The next prime is 2024132303021. The reversal of 2024132303020 is 203032314202.

It is a super-2 number, since 2×20241323030202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2024132302982 and 2024132303000.

It is not an unprimeable number, because it can be changed into a prime (2024132303021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75252694 + ... + 75279586.

It is an arithmetic number, because the mean of its divisors is an integer number (24981083568).

Almost surely, 22024132303020 is an apocalyptic number.

2024132303020 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 2024132303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398184022528).

2024132303020 is an abundant number, since it is smaller than the sum of its proper divisors (2772235742036).

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

2024132303020 is a wasteful number, since it uses less digits than its factorization.

2024132303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27180 (or 27178 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2024132303020 its reverse (203032314202), we get a palindrome (2227164617222).

The spelling of 2024132303020 in words is "two trillion, twenty-four billion, one hundred thirty-two million, three hundred three thousand, twenty".