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231313243332 = 2231910110397523
BaseRepresentation
bin1101011101101101010…
…1111111110011000100
3211010001121200021001110
43113123111333303010
512242212142241312
6254132553325020
722466105061423
oct3273325776304
9733047607043
10231313243332
118a1103283a6
12389b6406770
1318a747a8122
14b2a4ad72ba
15603c50743c
hex35db57fcc4

231313243332 has 96 divisors (see below), whose sum is σ = 579339371520. Its totient is φ = 71620156800.

The previous prime is 231313243331. The next prime is 231313243393. The reversal of 231313243332 is 233342313132.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 231313243332.

It is not an unprimeable number, because it can be changed into a prime (231313243331) 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, 2323123 + ... + 2420645.

It is an arithmetic number, because the mean of its divisors is an integer number (6034785120).

Almost surely, 2231313243332 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 231313243332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289669685760).

231313243332 is an abundant number, since it is smaller than the sum of its proper divisors (348026128188).

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

231313243332 is a wasteful number, since it uses less digits than its factorization.

231313243332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97753 (or 97751 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

Adding to 231313243332 its reverse (233342313132), we get a palindrome (464655556464).

The spelling of 231313243332 in words is "two hundred thirty-one billion, three hundred thirteen million, two hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 103 114 202 206 228 303 309 404 412 606 618 1212 1236 1919 1957 3838 3914 5757 5871 7676 7828 10403 11514 11742 20806 23028 23484 31209 41612 62418 97523 124836 195046 197657 292569 390092 395314 585138 592971 790628 1170276 1185942 1852937 2371884 3705874 5558811 7411748 9849823 10044869 11117622 19699646 20089738 22235244 29549469 30134607 39399292 40179476 59098938 60269214 118197876 120538428 187146637 190852511 374293274 381705022 561439911 572557533 748586548 763410044 1014531769 1122879822 1145115066 2029063538 2245759644 2290230132 3043595307 4058127076 6087190614 12174381228 19276103611 38552207222 57828310833 77104414444 115656621666 231313243332