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20122411043100 = 223521671732321647
BaseRepresentation
bin1001001001101000111010…
…01010011000100100011100
32122020200110102102210111210
410210310131022120210130
510114141144211334400
6110444035155344420
74144540050513312
oct444643512304434
978220412383453
1020122411043100
116458959497563
12230ba368b2110
13b2c6c5b52312
144d7d0389a0b2
1524d66b844950
hex124d1d29891c

20122411043100 has 144 divisors (see below), whose sum is σ = 58908047643648. Its totient is φ = 5303010927360.

The previous prime is 20122411043099. The next prime is 20122411043153. The reversal of 20122411043100 is 134011422102.

It is a super-2 number, since 2×201224110431002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7506477 + ... + 9828123.

It is an arithmetic number, because the mean of its divisors is an integer number (409083664192).

Almost surely, 220122411043100 is an apocalyptic number.

20122411043100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122411043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29454023821824).

20122411043100 is an abundant number, since it is smaller than the sum of its proper divisors (38785636600548).

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

20122411043100 is a wasteful number, since it uses less digits than its factorization.

20122411043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322004 (or 2321997 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 20122411043100 its reverse (134011422102), we get a palindrome (20256422465202).

The spelling of 20122411043100 in words is "twenty trillion, one hundred twenty-two billion, four hundred eleven million, forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 173 300 334 346 501 519 668 692 835 865 1002 1038 1670 1730 2004 2076 2505 2595 3340 3460 4175 4325 5010 5190 8350 8650 10020 10380 12525 12975 16700 17300 25050 25950 28891 50100 51900 57782 86673 115564 144455 173346 288910 346692 433365 577820 722275 866730 1444550 1733460 2166825 2321647 2889100 4333650 4643294 6964941 8667300 9286588 11608235 13929882 23216470 27859764 34824705 46432940 58041175 69649410 116082350 139298820 174123525 232164700 348247050 387715049 401644931 696494100 775430098 803289862 1163145147 1204934793 1550860196 1606579724 1938575245 2008224655 2326290294 2409869586 3877150490 4016449310 4652580588 4819739172 5815725735 6024673965 7754300980 8032898620 9692876225 10041123275 11631451470 12049347930 19385752450 20082246550 23262902940 24098695860 29078628675 30123369825 38771504900 40164493100 58157257350 60246739650 67074703477 116314514700 120493479300 134149406954 201224110431 268298813908 335373517385 402448220862 670747034770 804896441724 1006120552155 1341494069540 1676867586925 2012241104310 3353735173850 4024482208620 5030602760775 6707470347700 10061205521550 20122411043100