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31233454340 = 225111718314561
BaseRepresentation
bin11101000101101010…
…001011000100000100
32222121201020212122012
4131011222023010010
51002431231014330
622203133153352
72153664660434
oct350552130404
988551225565
1031233454340
111227851a590
12607802b858
132c39aa093a
1417241a62c4
15c2c071c95
hex745a8b104

31233454340 has 96 divisors (see below), whose sum is σ = 75820002048. Its totient is φ = 10681344000.

The previous prime is 31233454309. The next prime is 31233454453. The reversal of 31233454340 is 4345433213.

It is a junction number, because it is equal to n+sod(n) for n = 31233454297 and 31233454306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6845660 + ... + 6850220.

It is an arithmetic number, because the mean of its divisors is an integer number (789791688).

Almost surely, 231233454340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31233454340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37910001024).

31233454340 is an abundant number, since it is smaller than the sum of its proper divisors (44586547708).

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

31233454340 is a wasteful number, since it uses less digits than its factorization.

31233454340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429 (or 6427 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 31233454340 its reverse (4345433213), we get a palindrome (35578887553).

The spelling of 31233454340 in words is "thirty-one billion, two hundred thirty-three million, four hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1831 1870 3662 3740 4561 7324 9122 9155 18244 18310 20141 22805 31127 36620 40282 45610 50171 62254 77537 80564 91220 100342 100705 124508 155074 155635 200684 201410 250855 310148 311270 342397 387685 402820 501710 622540 684794 775370 852907 1003420 1369588 1550740 1705814 1711985 3411628 3423970 4264535 6847940 8351191 8529070 16702382 17058140 33404764 41755955 83511910 91863101 141970247 167023820 183726202 283940494 367452404 459315505 567880988 709851235 918631010 1419702470 1561672717 1837262020 2839404940 3123345434 6246690868 7808363585 15616727170 31233454340