Search a number
-
+
312141433102302 = 23418276067252893
BaseRepresentation
bin100011011111001000001011…
…1001111010101111111011110
31111221012102121011100201011210
41012332100113033111333132
5311403111123333233202
63023511443400325250
7122514321461153526
oct10676202717257736
91457172534321153
10312141433102302
1190504490526431
122b013126473826
1310522a705551cb
145711a240d0686
1526147ad1d3c6c
hex11be4173d5fde

312141433102302 has 64 divisors (see below), whose sum is σ = 640390633231104. Its totient is φ = 101369552981760.

The previous prime is 312141433102259. The next prime is 312141433102309. The reversal of 312141433102302 is 203201334141213.

It is a self number, because there is not a number n which added to its sum of digits gives 312141433102302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141433102309) 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, 1234156168 + ... + 1234409060.

It is an arithmetic number, because the mean of its divisors is an integer number (10006103644236).

Almost surely, 2312141433102302 is an apocalyptic number.

312141433102302 is an abundant number, since it is smaller than the sum of its proper divisors (328249200128802).

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

312141433102302 is a wasteful number, since it uses less digits than its factorization.

312141433102302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259833.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 312141433102302 its reverse (203201334141213), we get a palindrome (515342767243515).

The spelling of 312141433102302 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred thirty-three million, one hundred two thousand, three hundred two".

Divisors: 1 2 3 6 41 82 123 246 827 1654 2481 4962 6067 12134 18201 33907 36402 67814 101721 203442 248747 252893 497494 505786 746241 758679 1492482 1517358 5017409 10034818 10368613 15052227 20737226 30104454 31105839 62211678 205713769 209142511 411427538 418285022 617141307 627427533 1234282614 1254855066 1534301831 3068603662 4602905493 8574842951 9205810986 17149685902 25724528853 51449057706 62906375071 125812750142 188719125213 377438250426 1268867614237 2537735228474 3806602842711 7613205685422 52023572183717 104047144367434 156070716551151 312141433102302