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3212420211330 = 23511312691167359
BaseRepresentation
bin101110101111110011001…
…010100110001010000010
3102101002211002101001212120
4232233303022212022002
5410113014033230310
610455433201505110
7451042524155541
oct56576312461202
912332732331776
103212420211330
11102941a509540
1243a709042196
131a3c12080845
14b16a673c158
1558868290b70
hex2ebf32a6282

3212420211330 has 128 divisors (see below), whose sum is σ = 8714295705600. Its totient is φ = 750844665600.

The previous prime is 3212420211313. The next prime is 3212420211337. The reversal of 3212420211330 is 331120242123.

3212420211330 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 2×32124202113302 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3212420211330.

It is not an unprimeable number, because it can be changed into a prime (3212420211337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2168191 + ... + 3335549.

It is an arithmetic number, because the mean of its divisors is an integer number (68080435200).

Almost surely, 23212420211330 is an apocalyptic number.

3212420211330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212420211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357147852800).

3212420211330 is an abundant number, since it is smaller than the sum of its proper divisors (5501875494270).

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

3212420211330 is a wasteful number, since it uses less digits than its factorization.

3212420211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167680.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3212420211330 its reverse (331120242123), we get a palindrome (3543540453453).

The spelling of 3212420211330 in words is "three trillion, two hundred twelve billion, four hundred twenty million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 269 310 330 341 465 538 682 807 930 1023 1345 1614 1705 2046 2690 2959 3410 4035 5115 5918 8070 8339 8877 10230 14795 16678 17754 25017 29590 41695 44385 50034 83390 88770 91729 125085 183458 250170 275187 458645 550374 917290 1167359 1375935 2334718 2751870 3502077 5836795 7004154 11673590 12840949 17510385 25681898 35020770 36188129 38522847 64204745 72376258 77045694 108564387 128409490 180940645 192614235 217128774 314019571 361881290 385228470 398069419 542821935 628039142 796138838 942058713 1085643870 1194208257 1570097855 1884117426 1990347095 2388416514 3140195710 3454215281 3980694190 4710293565 5971041285 6908430562 9420587130 9734606701 10362645843 11942082570 17271076405 19469213402 20725291686 29203820103 34542152810 48673033505 51813229215 58407640206 97346067010 103626458430 107080673711 146019100515 214161347422 292038201030 321242021133 535403368555 642484042266 1070806737110 1606210105665 3212420211330