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20213114024100 = 22352174798274229
BaseRepresentation
bin1001001100010001110110…
…11110110011000010100100
32122120100120200002122021110
410212020323132303002210
510122132424142232400
6110553435411145020
74154230544235204
oct446107336630244
978510520078243
1020213114024100
116493373a03688
12232552aba5170
13b3811c4b878a
144dc469caa404
15250bc9781e50
hex12623b7b30a4

20213114024100 has 144 divisors (see below), whose sum is σ = 62052753369600. Its totient is φ = 5062503659520.

The previous prime is 20213114024087. The next prime is 20213114024101. The reversal of 20213114024100 is 142041131202.

It is not an unprimeable number, because it can be changed into a prime (20213114024101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1694215 + ... + 6580014.

It is an arithmetic number, because the mean of its divisors is an integer number (430921898400).

Almost surely, 220213114024100 is an apocalyptic number.

20213114024100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20213114024100 is an abundant number, since it is smaller than the sum of its proper divisors (41839639345500).

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

20213114024100 is a wasteful number, since it uses less digits than its factorization.

20213114024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8274742 (or 8274735 counting only the distinct ones).

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

Adding to 20213114024100 its reverse (142041131202), we get a palindrome (20355155155302).

The spelling of 20213114024100 in words is "twenty trillion, two hundred thirteen billion, one hundred fourteen million, twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 479 510 850 958 1020 1275 1437 1700 1916 2395 2550 2874 4790 5100 5748 7185 8143 9580 11975 14370 16286 23950 24429 28740 32572 35925 40715 47900 48858 71850 81430 97716 122145 143700 162860 203575 244290 407150 488580 610725 814300 1221450 2442900 8274229 16548458 24822687 33096916 41371145 49645374 82742290 99290748 124113435 140661893 165484580 206855725 248226870 281323786 413711450 421985679 496453740 562647572 620567175 703309465 827422900 843971358 1241134350 1406618930 1687942716 2109928395 2482268700 2813237860 3516547325 3963355691 4219856790 7033094650 7926711382 8439713580 10549641975 11890067073 14066189300 15853422764 19816778455 21099283950 23780134146 39633556910 42198567900 47560268292 59450335365 67377046747 79267113820 99083892275 118900670730 134754093494 198167784550 202131140241 237801341460 269508186988 297251676825 336885233735 396335569100 404262280482 594503353650 673770467470 808524560964 1010655701205 1189006707300 1347540934940 1684426168675 2021311402410 3368852337350 4042622804820 5053278506025 6737704674700 10106557012050 20213114024100