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3022133111312 = 2474713719321713
BaseRepresentation
bin101011111110100101001…
…010111010101000010000
3101200220122122121211022112
4223332211022322220100
5344003312034030222
610232203200524452
7431225163412310
oct53764512725020
911626578554275
103022133111312
11a65752399907
12409862320728
1318bca8119883
14a63b4607440
155392c8b7be2
hex2bfa52baa10

3022133111312 has 160 divisors (see below), whose sum is σ = 6920119084032. Its totient is φ = 1251811786752.

The previous prime is 3022133111293. The next prime is 3022133111321. The reversal of 3022133111312 is 2131113312203.

3022133111312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30221331113122 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139174568 + ... + 139196280.

Almost surely, 23022133111312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3022133111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460059542016).

3022133111312 is an abundant number, since it is smaller than the sum of its proper divisors (3897985972720).

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

3022133111312 is a wasteful number, since it uses less digits than its factorization.

3022133111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22105 (or 22099 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 3022133111312 its reverse (2131113312203), we get a palindrome (5153246423515).

The spelling of 3022133111312 in words is "three trillion, twenty-two billion, one hundred thirty-three million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 137 188 193 274 329 376 386 548 658 752 772 959 1096 1316 1351 1544 1918 2192 2632 2702 3088 3836 5264 5404 6439 7672 9071 10808 12878 15344 18142 21616 21713 25756 26441 36284 43426 45073 51512 52882 63497 72568 86852 90146 103024 105764 126994 145136 151991 173704 180292 185087 211528 253988 303982 347408 360584 370174 423056 507976 607964 721168 740348 1015952 1020511 1215928 1242727 1480696 2041022 2431856 2485454 2961392 2974681 4082044 4190609 4970908 5949362 7143577 8164088 8381218 8699089 9941816 11898724 14287154 16328176 16762436 17398178 19883632 20822767 23797448 28574308 29334263 33524872 34796356 41645534 47594896 57148616 58668526 67049744 69592712 83291068 114297232 117337052 139185424 139810007 166582136 196958623 234674104 279620014 333164272 393917246 469348208 559240028 574113433 787834492 978670049 1118480056 1148226866 1378710361 1575668984 1957340098 2236960112 2296453732 2757420722 3151337968 3914680196 4018794031 4592907464 5514841444 7829360392 8037588062 9185814928 11029682888 15658720784 16075176124 22059365776 26983331351 32150352248 53966662702 64300704496 107933325404 188883319457 215866650808 377766638914 431733301616 755533277828 1511066555656 3022133111312