Search a number
-
+
122331230320 = 245133114272659
BaseRepresentation
bin111000111101110000…
…0100111000001110000
3102200202110210101022011
41301323200213001300
54001013243332240
6132110450452304
711560324205155
oct1617340470160
9380673711264
10122331230320
1147975876a52
121b860594094
13b6c71754b0
145cc6bc422c
1532ae9956ea
hex1c7b827070

122331230320 has 160 divisors (see below), whose sum is σ = 316519741440. Its totient is φ = 43664348160.

The previous prime is 122331230309. The next prime is 122331230339. The reversal of 122331230320 is 23032133221.

It is a junction number, because it is equal to n+sod(n) for n = 122331230291 and 122331230300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46005151 + ... + 46007809.

It is an arithmetic number, because the mean of its divisors is an integer number (1978248384).

Almost surely, 2122331230320 is an apocalyptic number.

122331230320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122331230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158259870720).

122331230320 is an abundant number, since it is smaller than the sum of its proper divisors (194188511120).

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

122331230320 is a wasteful number, since it uses less digits than its factorization.

122331230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 122331230320 its reverse (23032133221), we get a palindrome (145363363541).

The spelling of 122331230320 in words is "one hundred twenty-two billion, three hundred thirty-one million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1427 1612 2015 2480 2659 2854 3224 4030 5318 5708 6448 7135 8060 10636 11416 13295 14270 16120 18551 21272 22832 26590 28540 32240 34567 37102 42544 44237 53180 57080 69134 74204 82429 88474 92755 106360 114160 138268 148408 164858 172835 176948 185510 212720 221185 276536 296816 329716 345670 353896 371020 412145 442370 553072 575081 659432 691340 707792 742040 824290 884740 1071577 1150162 1318864 1382680 1484080 1648580 1769480 2143154 2300324 2765360 2875405 3297160 3538960 3794393 4286308 4600648 5357885 5750810 6594320 7588786 8572616 9201296 10715770 11501620 15177572 17145232 18971965 21431540 23003240 30355144 37943930 42863080 46006480 49327109 60710288 75887860 85726160 98654218 117626183 151775720 197308436 235252366 246635545 303551440 394616872 470504732 493271090 588130915 789233744 941009464 986542180 1176261830 1529140379 1882018928 1973084360 2352523660 3058280758 3946168720 4705047320 6116561516 7645701895 9410094640 12233123032 15291403790 24466246064 30582807580 61165615160 122331230320