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30001211331312 = 24313177139833359
BaseRepresentation
bin1101101001001001100111…
…00010110101001011110000
310221020002101000000202122210
412310210303202311023300
512413014440100100222
6143450211034132120
76214341661500324
oct664446342651360
9127202330022583
1030001211331312
119617495737211
123446528b81040
1313981433a0240
1475a0d01c9984
15370601301d0c
hex1b49338b52f0

30001211331312 has 160 divisors (see below), whose sum is σ = 89619323996160. Its totient is φ = 8565765304320.

The previous prime is 30001211331263. The next prime is 30001211331331. The reversal of 30001211331312 is 21313311210003.

It is a happy number.

It is a congruent number.

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, 19163512 + ... + 20669847.

It is an arithmetic number, because the mean of its divisors is an integer number (560120774976).

Almost surely, 230001211331312 is an apocalyptic number.

It is an amenable number.

30001211331312 is an abundant number, since it is smaller than the sum of its proper divisors (59618112664848).

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

30001211331312 is a wasteful number, since it uses less digits than its factorization.

30001211331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39833471 (or 39833465 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 30001211331312 its reverse (21313311210003), we get a palindrome (51314522541315).

The spelling of 30001211331312 in words is "thirty trillion, one billion, two hundred eleven million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 71 78 102 104 136 142 156 204 208 213 221 272 284 312 408 426 442 568 624 663 816 852 884 923 1136 1207 1326 1704 1768 1846 2414 2652 2769 3408 3536 3621 3692 4828 5304 5538 7242 7384 9656 10608 11076 14484 14768 15691 19312 22152 28968 31382 44304 47073 57936 62764 94146 125528 188292 251056 376584 753168 39833359 79666718 119500077 159333436 239000154 318666872 478000308 517833667 637333744 677167103 956000616 1035667334 1354334206 1553501001 1912001232 2031501309 2071334668 2708668412 2828168489 3107002002 4063002618 4142669336 5417336824 5656336978 6214004004 8126005236 8285338672 8484505467 8803172339 10834673648 11312673956 12428008008 16252010472 16969010934 17606344678 22625347912 24856016016 26409517017 32504020944 33938021868 35212689356 36766190357 45250695824 48078864313 52819034034 67876043736 70425378712 73532380714 96157728626 105638068068 110298571071 135752087472 140850757424 144236592939 147064761428 192315457252 211276136136 220597142142 288473185878 294129522856 384630914504 422552272272 441194284284 576946371756 588259045712 625025236069 769261829008 882388568568 1153892743512 1250050472138 1764777137136 1875075708207 2307785487024 2500100944276 3750151416414 5000201888552 7500302832828 10000403777104 15000605665656 30001211331312