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312312213213 = 372111331479263
BaseRepresentation
bin1001000101101110100…
…00100010111011011101
31002212010120112021002220
410202313100202323131
520104103411310323
6355250234335553
731364250003600
oct4426720427335
91085116467086
10312312213213
111104a6114320
125064088a5b9
13235b2879280
141118a3d2337
1581cd5520e3
hex48b7422edd

312312213213 has 96 divisors (see below), whose sum is σ = 587447304192. Its totient is φ = 144928828800.

The previous prime is 312312213211. The next prime is 312312213223.

312312213213 is nontrivially palindromic in base 10.

312312213213 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 312312213213 - 21 = 312312213211 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312312213211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 412020 + ... + 891282.

It is an arithmetic number, because the mean of its divisors is an integer number (6119242752).

Almost surely, 2312312213213 is an apocalyptic number.

312312213213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312312213213 is a deficient number, since it is larger than the sum of its proper divisors (275135090979).

312312213213 is a wasteful number, since it uses less digits than its factorization.

312312213213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479335 (or 479328 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 312312 and 213213, that added together give a palindrome (525525).

The spelling of 312312213213 in words is "three hundred twelve billion, three hundred twelve million, two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 7 11 13 21 31 33 39 49 77 91 93 143 147 217 231 273 341 403 429 539 637 651 1001 1023 1209 1519 1617 1911 2387 2821 3003 4433 4557 7007 7161 8463 13299 16709 19747 21021 31031 50127 59241 93093 217217 479263 651651 1437789 3354841 5271893 6230419 10064523 14857153 15815679 18691257 23483887 36903251 43612933 44571459 68534609 70451661 104000071 110709753 130838799 163428683 193142989 205603827 258322757 305290531 312000213 479742263 490286049 579428967 728000497 774968271 915871593 1144000781 1352000923 1439226789 2124572879 2184001491 3358195841 3432002343 4056002769 6373718637 8008005467 9464006461 10074587523 14872010153 24024016401 28392019383 44616030459 104104071071 312312213213