Search a number
-
+
23114201241320 = 2357255572122181
BaseRepresentation
bin1010100000101101100011…
…10000010001011011101000
310000211200210102111221010022
411100112301300101123220
511012200341004210240
6121054303434340012
74603642311560300
oct520266160213350
9100750712457108
1023114201241320
117401750018692
12271382b28a608
13cb8876832537
1459ca3a2b4600
152a13c04499b5
hex1505b1c116e8

23114201241320 has 96 divisors (see below), whose sum is σ = 60508799162280. Its totient is φ = 7923439157760.

The previous prime is 23114201241301. The next prime is 23114201241347. The reversal of 23114201241320 is 2314210241132.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23041593627556 + 72607613764 = 4800166^2 + 269458^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23114201241320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9830630 + ... + 11952810.

Almost surely, 223114201241320 is an apocalyptic number.

23114201241320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23114201241320 is an abundant number, since it is smaller than the sum of its proper divisors (37394597920960).

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

23114201241320 is a wasteful number, since it uses less digits than its factorization.

23114201241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127763 (or 2127752 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 23114201241320 its reverse (2314210241132), we get a palindrome (25428411482452).

The spelling of 23114201241320 in words is "twenty-three trillion, one hundred fourteen billion, two hundred one million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 5557 11114 22228 27785 38899 44456 55570 77798 111140 155596 194495 222280 272293 311192 388990 544586 777980 1089172 1361465 1555960 2122181 2178344 2722930 4244362 5445860 8488724 10610905 10891720 14855267 16977448 21221810 29710534 42443620 59421068 74276335 84887240 103986869 118842136 148552670 207973738 297105340 415947476 519934345 594210680 831894952 1039868690 2079737380 4159474760 11792959817 23585919634 47171839268 58964799085 82550718719 94343678536 117929598170 165101437438 235859196340 330202874876 412753593595 471718392680 577855031033 660405749752 825507187190 1155710062066 1651014374380 2311420124132 2889275155165 3302028748760 4622840248264 5778550310330 11557100620660 23114201241320