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2431132021300 = 225261463860791
BaseRepresentation
bin100011011000001010110…
…000101011001000110100
322121102011202210202121211
4203120022300223020310
5304312424244140200
65100502512251204
7340433501135413
oct43301260531064
98542152722554
102431132021300
11858045712604
12333205240b04
1314834094a498
148594b57347a
154338caadaba
hex2360ac2b234

2431132021300 has 72 divisors (see below), whose sum is σ = 5373628343552. Its totient is φ = 954443952000.

The previous prime is 2431132021291. The next prime is 2431132021327. The reversal of 2431132021300 is 31202311342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2393905 + ... + 3254695.

Almost surely, 22431132021300 is an apocalyptic number.

2431132021300 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 2431132021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686814171776).

2431132021300 is an abundant number, since it is smaller than the sum of its proper divisors (2942496322252).

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

2431132021300 is a wasteful number, since it uses less digits than its factorization.

2431132021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861329 (or 861322 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2431132021300 its reverse (31202311342), we get a palindrome (2462334332642).

The spelling of 2431132021300 in words is "two trillion, four hundred thirty-one billion, one hundred thirty-two million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 463 610 926 1220 1525 1852 2315 3050 4630 6100 9260 11575 23150 28243 46300 56486 112972 141215 282430 564860 706075 860791 1412150 1721582 2824300 3443164 4303955 8607910 17215820 21519775 43039550 52508251 86079100 105016502 210033004 262541255 398546233 525082510 797092466 1050165020 1312706275 1594184932 1992731165 2625412550 3985462330 5250825100 7970924660 9963655825 19927311650 24311320213 39854623300 48622640426 97245280852 121556601065 243113202130 486226404260 607783005325 1215566010650 2431132021300