Search a number
-
+
312132010301 = 29411032548703
BaseRepresentation
bin1001000101011001000…
…01001000000100111101
31002211200000110000011222
410202230201020010331
520103221243312201
6355220320123125
731356631211636
oct4425441100475
91084600400158
10312132010301
111104134231a1
12505b04664a5
1323584433c27
14111704c488d
1581bc80891b
hex48ac84813d

312132010301 has 16 divisors (see below), whose sum is σ = 333982172160. Its totient is φ = 291163716480.

The previous prime is 312132010273. The next prime is 312132010303. The reversal of 312132010301 is 103010231213.

It is a cyclic number.

It is not a de Polignac number, because 312132010301 - 222 = 312127815997 is a prime.

It is a super-2 number, since 2×3121320103012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312132010301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132010303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151885 + ... + 1396818.

It is an arithmetic number, because the mean of its divisors is an integer number (20873885760).

Almost surely, 2312132010301 is an apocalyptic number.

It is an amenable number.

312132010301 is a deficient number, since it is larger than the sum of its proper divisors (21850161859).

312132010301 is a wasteful number, since it uses less digits than its factorization.

312132010301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548876.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 312132010301 its reverse (103010231213), we get a palindrome (415142241514).

The spelling of 312132010301 in words is "three hundred twelve billion, one hundred thirty-two million, ten thousand, three hundred one".

Divisors: 1 29 41 103 1189 2987 4223 122467 2548703 73912387 104496823 262516409 3030407867 7612975861 10763172769 312132010301