Search a number
-
+
312120213210 = 2325131195922307
BaseRepresentation
bin1001000101010111101…
…00000111111011011010
31002211122012020122121200
410202223310013323122
520103210233310320
6355215215215030
731356426016041
oct4425364077332
91084565218550
10312120213210
111104077a5933
12505a8517476
1323581b633c0
141116cad3558
1581bb778290
hex48abd07eda

312120213210 has 96 divisors (see below), whose sum is σ = 874048855680. Its totient is φ = 76819722624.

The previous prime is 312120213151. The next prime is 312120213263. The reversal of 312120213210 is 12312021213.

312120213210 is a `hidden beast` number, since 31 + 212 + 0 + 213 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13980877 + ... + 14003183.

It is an arithmetic number, because the mean of its divisors is an integer number (9104675580).

Almost surely, 2312120213210 is an apocalyptic number.

312120213210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312120213210 is an abundant number, since it is smaller than the sum of its proper divisors (561928642470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312120213210 is a wasteful number, since it uses less digits than its factorization.

312120213210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34292 (or 34289 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312120213210 its reverse (12312021213), we get a palindrome (324432234423).

The spelling of 312120213210 in words is "three hundred twelve billion, one hundred twenty million, two hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 11959 22307 23918 35877 44614 59795 66921 71754 107631 111535 119590 133842 155467 179385 200763 215262 223070 289991 310934 334605 358770 401526 466401 538155 579982 669210 777335 869973 932802 1003815 1076310 1399203 1449955 1554670 1739946 2007630 2332005 2609919 2798406 2899910 4349865 4664010 5219838 6996015 8699730 13049595 13992030 26099190 266769413 533538826 800308239 1333847065 1600616478 2400924717 2667694130 3468002369 4001541195 4801849434 6936004738 8003082390 10404007107 12004623585 17340011845 20808014214 24009247170 31212021321 34680023690 52020035535 62424042642 104040071070 156060106605 312120213210