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312132220323 = 371123101719809
BaseRepresentation
bin1001000101011001000…
…01111011010110100011
31002211200000211200021120
410202230201323112203
520103221322022243
6355220324423323
731356633045150
oct4425441732643
91084600750246
10312132220323
11110413556a70
12505b0547b43
13235844a86c1
141117053b227
1581bc84ac83
hex48ac87b5a3

312132220323 has 128 divisors (see below), whose sum is σ = 548226662400. Its totient is φ = 153158016000.

The previous prime is 312132220289. The next prime is 312132220373. The reversal of 312132220323 is 323022231213.

It is not a de Polignac number, because 312132220323 - 213 = 312132212131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312132220293 and 312132220302.

It is not an unprimeable number, because it can be changed into a prime (312132220373) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 385824343 + ... + 385825151.

It is an arithmetic number, because the mean of its divisors is an integer number (4283020800).

Almost surely, 2312132220323 is an apocalyptic number.

312132220323 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

312132220323 is a deficient number, since it is larger than the sum of its proper divisors (236094442077).

312132220323 is a wasteful number, since it uses less digits than its factorization.

312132220323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 312132220323 its reverse (323022231213), we get a palindrome (635154451536).

The spelling of 312132220323 in words is "three hundred twelve billion, one hundred thirty-two million, two hundred twenty thousand, three hundred twenty-three".

Divisors: 1 3 7 11 21 23 33 69 77 101 161 231 253 303 483 707 719 759 809 1111 1771 2121 2157 2323 2427 3333 5033 5313 5663 6969 7777 7909 8899 15099 16261 16537 16989 18607 23331 23727 25553 26697 48783 49611 55363 55821 62293 72619 76659 81709 115759 130249 166089 178871 181907 186879 204677 217857 245127 347277 390747 508333 536613 545721 571963 581671 614031 798809 898799 1273349 1432739 1524999 1670237 1715889 1745013 1879307 2396427 2696397 3820047 4071697 4298217 5010711 5591663 5637921 6291593 6398381 11691659 12215091 13155149 13378433 16774989 18372607 18874779 19195143 20672377 35074977 39465447 40135299 44788667 55117821 58748771 62017131 93649031 128608249 134366001 144706639 147162763 176246313 280947093 385824747 411241397 434119917 441488289 646236481 1030139341 1233724191 1351221733 1938709443 3090418023 4053665199 4523655367 9458552131 13570966101 14863439063 28375656393 44590317189 104044073441 312132220323