Search a number
-
+
1220310323320 = 2351115119992297
BaseRepresentation
bin10001110000100000001…
…010011101000001111000
311022122211112011102210111
4101300200022131001320
5124443143420321240
62332334113154104
7154110266413444
oct21604012350170
94278745142714
101220310323320
11430592400670
1217860755b934
138b0c83661ba
14430c5b0d824
1521b22d041ea
hex11c2029d078

1220310323320 has 128 divisors (see below), whose sum is σ = 3030327936000. Its totient is φ = 438590592000.

The previous prime is 1220310323311. The next prime is 1220310323327. The reversal of 1220310323320 is 233230130221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1220310323291 and 1220310323300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220310323327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13175412 + ... + 13267708.

It is an arithmetic number, because the mean of its divisors is an integer number (23674437000).

Almost surely, 21220310323320 is an apocalyptic number.

1220310323320 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 1220310323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515163968000).

1220310323320 is an abundant number, since it is smaller than the sum of its proper divisors (1810017612680).

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

1220310323320 is a wasteful number, since it uses less digits than its factorization.

1220310323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92669 (or 92665 counting only the distinct ones).

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

Adding to 1220310323320 its reverse (233230130221), we get a palindrome (1453540453541).

The spelling of 1220310323320 in words is "one trillion, two hundred twenty billion, three hundred ten million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 199 220 302 398 440 604 755 796 995 1208 1510 1592 1661 1990 2189 3020 3322 3980 4378 6040 6644 7960 8305 8756 10945 13288 16610 17512 21890 30049 33220 43780 60098 66440 87560 92297 120196 150245 184594 240392 300490 330539 369188 461485 600980 661078 738376 922970 1015267 1201960 1322156 1652695 1845940 2030534 2644312 3305390 3691880 4061068 5076335 6610780 8122136 10152670 13221560 13936847 18367103 20305340 27873694 36734206 40610680 55747388 69684235 73468412 91835515 111494776 139368470 146936824 153305317 183671030 202038133 278736940 306610634 367342060 404076266 557473880 613221268 734684120 766526585 808152532 1010190665 1226442536 1533053170 1616305064 2020381330 2773432553 3066106340 4040762660 5546865106 6132212680 8081525320 11093730212 13867162765 22187460424 27734325530 30507758083 55468651060 61015516166 110937302120 122031032332 152538790415 244062064664 305077580830 610155161660 1220310323320