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20123332100300 = 225211132389358897
BaseRepresentation
bin1001001001101010101000…
…00011111100000011001100
32122020202211121120100110102
410210311110003330003030
510114200041004202200
6110444310421030232
74144601633413262
oct444652403740314
978222747510412
1020123332100300
1164592913a1460
122310053255378
13b2c81190c390
144d7d8dd38432
1524d6c26306d5
hex124d540fc0cc

20123332100300 has 144 divisors (see below), whose sum is σ = 51304850050272. Its totient is φ = 6754287513600.

The previous prime is 20123332100297. The next prime is 20123332100317. The reversal of 20123332100300 is 300123332102.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 341640452 + ... + 341699348.

Almost surely, 220123332100300 is an apocalyptic number.

20123332100300 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 20123332100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25652425025136).

20123332100300 is an abundant number, since it is smaller than the sum of its proper divisors (31181517949972).

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

20123332100300 is a wasteful number, since it uses less digits than its factorization.

20123332100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82828 (or 82821 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 20123332100300 its reverse (300123332102), we get a palindrome (20423455432402).

The spelling of 20123332100300 in words is "twenty trillion, one hundred twenty-three billion, three hundred thirty-two million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 14300 23893 47786 58897 95572 117794 119465 235588 238930 262823 294485 310609 477860 525646 588970 597325 621218 647867 765661 1051292 1177940 1194650 1242436 1295734 1314115 1472425 1531322 1553045 2389300 2591468 2628230 2944850 3062644 3106090 3239335 3416699 3828305 5256460 5889700 6212180 6478670 6570575 6833398 7656610 7765225 8422271 12957340 13141150 13666796 15313220 15530450 16196675 16844542 17083495 19141525 26282300 31060900 32393350 33689084 34166990 38283050 42111355 64786700 68333980 76566100 84222710 85417475 168445420 170834950 210556775 341669900 421113550 842227100 1407226021 2814452042 5628904084 7036130105 14072260210 15479486231 18293938273 28144520420 30958972462 35180650525 36587876546 61917944924 70361301050 73175753092 77397431155 91469691365 140722602100 154794862310 182939382730 201233321003 309589724620 365878765460 386987155775 402466642006 457348456825 773974311550 804933284012 914696913650 1006166605015 1547948623100 1829393827300 2012333210030 4024666420060 5030833025075 10061666050150 20123332100300