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24300131020 = 22511891518219
BaseRepresentation
bin10110101000011001…
…101001001011001100
32022201111222120001121
4112220121221023030
5344231313143040
615055140050324
71520115464014
oct265031511314
968644876047
1024300131020
11a33a877110
1248620939a4
1323a3541969
141267444c44
15973528c4a
hex5a86692cc

24300131020 has 96 divisors (see below), whose sum is σ = 56674598400. Its totient is φ = 8678208000.

The previous prime is 24300131017. The next prime is 24300131027. The reversal of 24300131020 is 2013100342.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 24300130985 and 24300131003.

It is not an unprimeable number, because it can be changed into a prime (24300131027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2952471 + ... + 2960689.

It is an arithmetic number, because the mean of its divisors is an integer number (590360400).

Almost surely, 224300131020 is an apocalyptic number.

24300131020 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 24300131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28337299200).

24300131020 is an abundant number, since it is smaller than the sum of its proper divisors (32374467380).

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

24300131020 is a wasteful number, since it uses less digits than its factorization.

24300131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8479 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 24300131020 its reverse (2013100342), we get a palindrome (26313231362).

The spelling of 24300131020 in words is "twenty-four billion, three hundred million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 151 178 220 302 356 445 604 755 890 979 1510 1661 1780 1958 3020 3322 3916 4895 6644 8219 8305 9790 13439 16438 16610 19580 26878 32876 33220 41095 53756 67195 82190 90409 134390 147829 164380 180818 268780 295658 361636 452045 591316 731491 739145 904090 1241069 1462982 1478290 1808180 2482138 2925964 2956580 3657455 4964276 6205345 7314910 8046401 12410690 13651759 14629820 16092802 24821380 27303518 32185604 40232005 54607036 68258795 80464010 110455141 136517590 160928020 220910282 273035180 441820564 552275705 1104551410 1215006551 2209102820 2430013102 4860026204 6075032755 12150065510 24300131020