Search a number
-
+
3012223332321 = 3373116710392963
BaseRepresentation
bin101011110101010110100…
…000000110111111100001
3101122222002000121220011000
4223311112200012333201
5343323013133113241
610223443555542213
7430424462603340
oct53652640067741
911588060556130
103012223332321
11a615275a7215
124079575ba969
1318b08902ab18
14a5b1444bb57
155354c8cbeb6
hex2bd56806fe1

3012223332321 has 128 divisors (see below), whose sum is σ = 5302989619200. Its totient is φ = 1653619199040.

The previous prime is 3012223332319. The next prime is 3012223332353. The reversal of 3012223332321 is 1232333222103.

3012223332321 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 2 + 2 + 3 + 332 + 321 = 666.

It is not a de Polignac number, because 3012223332321 - 21 = 3012223332319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3012223332121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1016611186 + ... + 1016614148.

It is an arithmetic number, because the mean of its divisors is an integer number (41429606400).

Almost surely, 23012223332321 is an apocalyptic number.

3012223332321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3012223332321 is a deficient number, since it is larger than the sum of its proper divisors (2290766286879).

3012223332321 is a wasteful number, since it uses less digits than its factorization.

3012223332321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 3012223332321 its reverse (1232333222103), we get a palindrome (4244556554424).

The spelling of 3012223332321 in words is "three trillion, twelve billion, two hundred twenty-three million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 31 63 93 167 189 217 279 501 651 837 1039 1169 1503 1953 2963 3117 3507 4509 5177 5859 7273 8889 9351 10521 15531 20741 21819 26667 28053 31563 32209 36239 46593 62223 65457 80001 91853 96627 108717 139779 173513 186669 196371 225463 275559 289881 326151 494821 520539 560007 642971 676389 826677 869643 978453 1214591 1484463 1561617 1928913 2029167 2480031 3078557 3463747 3643773 4453389 4684851 5378903 5786739 6087501 9235671 10391241 10931319 13360167 15339451 16136709 17360217 21549899 27707013 31173723 32793957 37652321 46018353 48410127 64649697 83121039 93521169 95435267 107376157 112956963 138055059 145230381 193949091 286305801 322128471 338870889 414165177 514119019 581847273 668046869 858917403 966385413 1016612667 1542357057 2004140607 2576752209 2899156239 3598833133 4627071171 6012421821 10796499399 13881213513 15937689589 18037265463 32389498197 47813068767 97168494591 111563827123 143439206301 334691481369 430317618903 1004074444107 3012223332321