Search a number
-
+
312312121213213 = 11210027925739107
BaseRepresentation
bin100011100000010111101010…
…1000010110100000100011101
31111221210202011201011011000101
41013000233111002310010131
5311413410211012310323
63024122112515101101
7122532543336155122
oct10700572502640435
91457722151134011
10312312121213213
119056a910512500
122b0402215a1791
1310535ba2c17cc4
145719db72c8749
152618e4d153dad
hex11c0bd50b411d

312312121213213 has 12 divisors (see below), whose sum is σ = 343288660781920. Its totient is φ = 283917267861480.

The previous prime is 312312121213129. The next prime is 312312121213237.

312312121213213 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-312312121213213 is a prime.

It is a super-2 number, since 2×3123121212132132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312312128213213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735795 + ... + 25003312.

Almost surely, 2312312121213213 is an apocalyptic number.

It is an amenable number.

312312121213213 is a deficient number, since it is larger than the sum of its proper divisors (30976539568707).

312312121213213 is a wasteful number, since it uses less digits than its factorization.

312312121213213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25839408 (or 25839397 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The spelling of 312312121213213 in words is "three hundred twelve trillion, three hundred twelve billion, one hundred twenty-one million, two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 11 121 100279 1103069 12133759 25739107 283130177 3114431947 2581091910853 28392011019383 312312121213213