Search a number
-
+
1312022010 = 235131929319
BaseRepresentation
bin100111000110011…
…1101110111111010
310101102210121211210
41032030331313322
510141334201020
6334105103550
744341001025
oct11614756772
93342717753
101312022010
11613669612
12307487bb6
1317ba86cb0
14c63701bc
157a2b73e0
hex4e33ddfa

1312022010 has 96 divisors (see below), whose sum is σ = 3579327360. Its totient is φ = 305928576.

The previous prime is 1312021979. The next prime is 1312022027. The reversal of 1312022010 is 102202131.

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, 136131 + ... + 145449.

It is an arithmetic number, because the mean of its divisors is an integer number (37284660).

Almost surely, 21312022010 is an apocalyptic number.

1312022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789663680).

1312022010 is an abundant number, since it is smaller than the sum of its proper divisors (2267305350).

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

1312022010 is a wasteful number, since it uses less digits than its factorization.

1312022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9380 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1312022010 is about 36221.8443760116. The cubic root of 1312022010 is about 1094.7468566845.

Adding to 1312022010 its reverse (102202131), we get a palindrome (1414224141).

The spelling of 1312022010 in words is "one billion, three hundred twelve million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 361 390 494 570 722 741 1083 1235 1482 1805 2166 2470 3610 3705 4693 5415 7410 9319 9386 10830 14079 18638 23465 27957 28158 46595 46930 55914 70395 93190 121147 139785 140790 177061 242294 279570 354122 363441 531183 605735 726882 885305 1062366 1211470 1770610 1817205 2301793 2655915 3364159 3634410 4603586 5311830 6728318 6905379 10092477 11508965 13810758 16820795 20184954 23017930 33641590 34526895 43734067 50462385 69053790 87468134 100924770 131202201 218670335 262404402 437340670 656011005 1312022010