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20010022121100 = 223521112747745221
BaseRepresentation
bin1001000110010111100100…
…10000101010111010001100
32121211221100211212000020010
410203023302100222322030
510110321011130333400
6110320251030553220
74133451000445554
oct443136220527214
977757324760203
1020010022121100
116415225910a50
1222b20abb08810
13b21c24747bcb
144d26c12dc164
1524a78eb63450
hex1232f242ae8c

20010022121100 has 144 divisors (see below), whose sum is σ = 63656221741056. Its totient is φ = 4812718176000.

The previous prime is 20010022121099. The next prime is 20010022121119. The reversal of 20010022121100 is 112122001002.

It is a super-2 number, since 2×200100221211002 (a number of 27 digits) contains 22 as substring.

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, 23453511 + ... + 24291710.

It is an arithmetic number, because the mean of its divisors is an integer number (442057095424).

Almost surely, 220010022121100 is an apocalyptic number.

20010022121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010022121100 is an abundant number, since it is smaller than the sum of its proper divisors (43646199619956).

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

20010022121100 is a wasteful number, since it uses less digits than its factorization.

20010022121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47745376 (or 47745369 counting only the distinct ones).

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

Adding to 20010022121100 its reverse (112122001002), we get a palindrome (20122144122102).

The spelling of 20010022121100 in words is "twenty trillion, ten billion, twenty-two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 127 132 150 165 220 254 275 300 330 381 508 550 635 660 762 825 1100 1270 1397 1524 1650 1905 2540 2794 3175 3300 3810 4191 5588 6350 6985 7620 8382 9525 12700 13970 16764 19050 20955 27940 34925 38100 41910 69850 83820 104775 139700 209550 419100 47745221 95490442 143235663 190980884 238726105 286471326 477452210 525197431 572942652 716178315 954904420 1050394862 1193630525 1432356630 1575592293 2100789724 2387261050 2625987155 2864713260 3151184586 3580891575 4774522100 5251974310 6063643067 6302369172 7161783150 7877961465 10503948620 12127286134 13129935775 14323566300 15755922930 18190929201 24254572268 26259871550 30318215335 31511845860 36381858402 39389807325 52519743100 60636430670 66700073737 72763716804 78779614650 90954646005 121272861340 133400147474 151591076675 157559229300 181909292010 200100221211 266800294948 303182153350 333500368685 363818584020 400200442422 454773230025 606364306700 667000737370 800400884844 909546460050 1000501106055 1334001474740 1667501843425 1819092920100 2001002212110 3335003686850 4002004424220 5002505530275 6670007373700 10005011060550 20010022121100