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20010122012100 = 223521143141015659
BaseRepresentation
bin1001000110010111110000…
…01101101110010111000100
32121211221121210210222220210
410203023320031232113010
510110321212213341400
6110320304555555420
74133453322505143
oct443137015562704
977757553728823
1020010122012100
1164152772385a0
1222b211945bb70
13b21c3c350bcc
144d26d06a175a
1524a7987e5950
hex1232f836e5c4

20010122012100 has 144 divisors (see below), whose sum is σ = 64628041040640. Its totient is φ = 4738126108800.

The previous prime is 20010122012081. The next prime is 20010122012117. The reversal of 20010122012100 is 121022101002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70365930 + ... + 70649729.

It is an arithmetic number, because the mean of its divisors is an integer number (448805840560).

Almost surely, 220010122012100 is an apocalyptic number.

20010122012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010122012100 is an abundant number, since it is smaller than the sum of its proper divisors (44617919028540).

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

20010122012100 is a wasteful number, since it uses less digits than its factorization.

20010122012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141015730 (or 141015723 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20010122012100 its reverse (121022101002), we get a palindrome (20131144113102).

The spelling of 20010122012100 in words is "twenty trillion, ten billion, one hundred twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 43 44 50 55 60 66 75 86 100 110 129 132 150 165 172 215 220 258 275 300 330 430 473 516 550 645 660 825 860 946 1075 1100 1290 1419 1650 1892 2150 2365 2580 2838 3225 3300 4300 4730 5676 6450 7095 9460 11825 12900 14190 23650 28380 35475 47300 70950 141900 141015659 282031318 423046977 564062636 705078295 846093954 1410156590 1551172249 1692187908 2115234885 2820313180 3102344498 3525391475 4230469770 4653516747 6063673337 6204688996 7050782950 7755861245 8460939540 9307033494 10576174425 12127346674 14101565900 15511722490 18191020011 18614066988 21152348850 23267583735 24254693348 30318366685 31023444980 36382040022 38779306225 42304697700 46535167470 60636733370 66700406707 72764080044 77558612450 90955100055 93070334940 116337918675 121273466740 133400813414 151591833425 155117224900 181910200110 200101220121 232675837350 266801626828 303183666850 333502033535 363820400220 400202440242 454775500275 465351674700 606367333700 667004067070 800404880484 909551000550 1000506100605 1334008134140 1667510167675 1819102001100 2001012201210 3335020335350 4002024402420 5002530503025 6670040670700 10005061006050 20010122012100