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312141231112232 = 23292336179358841
BaseRepresentation
bin100011011111001000000101…
…1001100110100000000101000
31111221012102002002021112220002
41012332100023030310000220
5311403110220131042412
63023511411343122132
7122514313456240304
oct10676201314640050
91457172062245802
10312141231112232
1190504397504295
122b01308a8a3348
1310522a3a752162
145711a05350d04
15261479a5d4dc2
hex11be40b334028

312141231112232 has 64 divisors (see below), whose sum is σ = 609030386686800. Its totient is φ = 149798940712960.

The previous prime is 312141231112177. The next prime is 312141231112259. The reversal of 312141231112232 is 232211132141213.

It can be written as a sum of positive squares in 8 ways, for example, as 9167730286276 + 302973500825956 = 3027826^2 + 17406134^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 312141231112195 and 312141231112204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28673132 + ... + 38031972.

Almost surely, 2312141231112232 is an apocalyptic number.

It is an amenable number.

312141231112232 is a deficient number, since it is larger than the sum of its proper divisors (296889155574568).

312141231112232 is a wasteful number, since it uses less digits than its factorization.

312141231112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9359726 (or 9359722 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

Adding to 312141231112232 its reverse (232211132141213), we get a palindrome (544352363253445).

The spelling of 312141231112232 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred thirty-one million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 29 58 116 232 233 466 617 932 1234 1864 2468 4936 6757 13514 17893 27028 35786 54056 71572 143144 143761 287522 575044 1150088 4169069 8338138 9358841 16676276 18717682 33352552 37435364 74870728 271406389 542812778 1085625556 2171251112 2180609953 4361219906 5774404897 8722439812 11548809794 17444879624 23097619588 46195239176 63237688637 126475377274 167457742013 252950754548 334915484026 505901509096 669830968052 1339661936104 1345436341001 2690872682002 5381745364004 10763490728008 39017653889029 78035307778058 156070615556116 312141231112232