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20210202200100 = 223521130911198127
BaseRepresentation
bin1001001100001100011011…
…11011000100100000100100
32122120002001201222122200010
410212012031323010200210
510122110443230400400
6110552234432450220
74154065436160333
oct446061573044044
978502051878603
1020210202200100
11649210a299170
122324a579a9970
13b37a77167bb3
144dc271297d1a
15250aa8d09450
hex12618dec4824

20210202200100 has 144 divisors (see below), whose sum is σ = 63793132978176. Its totient is φ = 4899259728000.

The previous prime is 20210202200087. The next prime is 20210202200101. The reversal of 20210202200100 is 100220201202.

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

It is not an unprimeable number, because it can be changed into a prime (20210202200101) 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, 101907237 + ... + 102105363.

It is an arithmetic number, because the mean of its divisors is an integer number (443007867904).

Almost surely, 220210202200100 is an apocalyptic number.

20210202200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20210202200100 is an abundant number, since it is smaller than the sum of its proper divisors (43582930778076).

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

20210202200100 is a wasteful number, since it uses less digits than its factorization.

20210202200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229066 (or 229059 counting only the distinct ones).

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

Adding to 20210202200100 its reverse (100220201202), we get a palindrome (20310422401302).

The spelling of 20210202200100 in words is "twenty trillion, two hundred ten billion, two hundred 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 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 30911 61822 92733 123644 154555 185466 198127 309110 340021 370932 396254 463665 594381 618220 680042 772775 792508 927330 990635 1020063 1188762 1360084 1545550 1700105 1854660 1981270 2040126 2179397 2318325 2377524 2971905 3091100 3400210 3962540 4080252 4358794 4636650 4953175 5100315 5943810 6538191 6800420 8500525 8717588 9273300 9906350 10200630 10896985 11887620 13076382 14859525 17001050 19812700 20401260 21793970 25501575 26152764 29719050 32690955 34002100 43587940 51003150 54484925 59438100 65381910 102006300 108969850 130763820 163454775 217939700 326909550 653819100 6124303697 12248607394 18372911091 24497214788 30621518485 36745822182 61243036970 67367340667 73491644364 91864555455 122486073940 134734681334 153107592425 183729110910 202102022001 269469362668 306215184850 336836703335 367458221820 404204044002 459322777275 612430369700 673673406670 808408088004 918645554550 1010510110005 1347346813340 1684183516675 1837291109100 2021020220010 3368367033350 4042040440020 5052550550025 6736734066700 10105101100050 20210202200100