Search a number
-
+
122312313433220 = 22517536787586761
BaseRepresentation
bin11011110011111000001101…
…111111100110110010000100
3121001001221110102110010112212
4123303320031333212302010
5112012431104214330340
61112045300122402552
734522526102110031
oct3363701577466204
9531057412403485
10122312313433220
1135a773a7291989
1211874b42360458
1353330038766b1
14222bd3a14c388
15e21955d26a65
hex6f3e0dfe6c84

122312313433220 has 48 divisors (see below), whose sum is σ = 277096441971888. Its totient is φ = 45178177474560.

The previous prime is 122312313433159. The next prime is 122312313433279. The reversal of 122312313433220 is 22334313213221.

It can be written as a sum of positive squares in 8 ways, for example, as 1351206307396 + 120961107125824 = 1162414^2 + 10998232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3393775361 + ... + 3393811400.

It is an arithmetic number, because the mean of its divisors is an integer number (5772842541081).

Almost surely, 2122312313433220 is an apocalyptic number.

122312313433220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122312313433220 is an abundant number, since it is smaller than the sum of its proper divisors (154784128538668).

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

122312313433220 is a wasteful number, since it uses less digits than its factorization.

122312313433220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6787586840 (or 6787586838 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 122312313433220 its reverse (22334313213221), we get a palindrome (144646626646441).

The spelling of 122312313433220 in words is "one hundred twenty-two trillion, three hundred twelve billion, three hundred thirteen million, four hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 9010 18020 6787586761 13575173522 27150347044 33937933805 67875867610 115388974937 135751735220 230777949874 359742098333 461555899748 576944874685 719484196666 1153889749370 1438968393332 1798710491665 2307779498740 3597420983330 6115615671661 7194841966660 12231231343322 24462462686644 30578078358305 61156156716610 122312313433220