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24232131020 = 22537713111483
BaseRepresentation
bin10110100100010110…
…001111100111001100
32022112210000210121002
4112210112033213030
5344111411143040
615044310355432
71515331500206
oct264426174714
968483023532
1024232131020
11a305451769
12484335bb78
132392423586
14125c3c3776
1596c595a15
hex5a458f9cc

24232131020 has 96 divisors (see below), whose sum is σ = 53205175296. Its totient is φ = 9261907200.

The previous prime is 24232131013. The next prime is 24232131029. The reversal of 24232131020 is 2013123242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 24232130983 and 24232131001.

It is not an unprimeable number, because it can be changed into a prime (24232131029) 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, 16339199 + ... + 16340681.

It is an arithmetic number, because the mean of its divisors is an integer number (554220576).

Almost surely, 224232131020 is an apocalyptic number.

24232131020 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 24232131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26602587648).

24232131020 is an abundant number, since it is smaller than the sum of its proper divisors (28973044276).

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

24232131020 is a wasteful number, since it uses less digits than its factorization.

24232131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 24232131020 its reverse (2013123242), we get a palindrome (26245254262).

The spelling of 24232131020 in words is "twenty-four billion, two hundred thirty-two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 37 71 74 142 148 185 284 311 355 370 622 710 740 1244 1420 1483 1555 2627 2966 3110 5254 5932 6220 7415 10508 11507 13135 14830 22081 23014 26270 29660 44162 46028 52540 54871 57535 88324 105293 109742 110405 115070 210586 219484 220810 230140 274355 421172 441620 461213 526465 548710 816997 922426 1052930 1097420 1633994 1844852 2105860 2306065 3267988 3895841 4084985 4612130 7791682 8169970 9224260 15583364 16339940 17064881 19479205 32746123 34129762 38958410 65492246 68259524 77916820 85324405 130984492 163730615 170648810 327461230 341297620 654922460 1211606551 2423213102 4846426204 6058032755 12116065510 24232131020