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20020122200100 = 223521159310230529
BaseRepresentation
bin1001000110101010011000…
…10001011010100000100100
32121212220102201221011221010
410203111030101122200210
510111002202240400400
6110325041150422220
74134256201632201
oct443251421324044
977786381834833
1020020122200100
116419539070880
1222b404a501970
13b22b740a5b09
144d2d9c872ca8
1524ab816de450
hex12354c45a824

20020122200100 has 144 divisors (see below), whose sum is σ = 63297353085120. Its totient is φ = 4845178060800.

The previous prime is 20020122200063. The next prime is 20020122200131. The reversal of 20020122200100 is 100222102002.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3158365 + ... + 7072164.

It is an arithmetic number, because the mean of its divisors is an integer number (439564951980).

Almost surely, 220020122200100 is an apocalyptic number.

20020122200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020122200100 is an abundant number, since it is smaller than the sum of its proper divisors (43277230885020).

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

20020122200100 is a wasteful number, since it uses less digits than its factorization.

20020122200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10231150 (or 10231143 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20020122200100 its reverse (100222102002), we get a palindrome (20120344302102).

The spelling of 20020122200100 in words is "twenty trillion, twenty billion, one hundred twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 593 660 825 1100 1186 1650 1779 2372 2965 3300 3558 5930 6523 7116 8895 11860 13046 14825 17790 19569 26092 29650 32615 35580 39138 44475 59300 65230 78276 88950 97845 130460 163075 177900 195690 326150 391380 489225 652300 978450 1956900 10230529 20461058 30691587 40922116 51152645 61383174 102305290 112535819 122766348 153457935 204610580 225071638 255763225 306915870 337607457 450143276 511526450 562679095 613831740 675214914 767289675 1023052900 1125358190 1350429828 1534579350 1688037285 2250716380 2813395475 3069158700 3376074570 5626790950 6066703697 6752149140 8440186425 11253581900 12133407394 16880372850 18200111091 24266814788 30333518485 33760745700 36400222182 60667036970 66733740667 72800444364 91000555455 121334073940 133467481334 151667592425 182001110910 200201222001 266934962668 303335184850 333668703335 364002221820 400402444002 455002777275 606670369700 667337406670 800804888004 910005554550 1001006110005 1334674813340 1668343516675 1820011109100 2002012220010 3336687033350 4004024440020 5005030550025 6673374066700 10010061100050 20020122200100