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200022012012100 = 225231336786320177
BaseRepresentation
bin101101011110101101000000…
…111110010010011001000100
3222020012220202221010010112211
4231132231000332102121010
5202204130040033341400
61545224502131153204
760063053631323065
oct5536550076223104
9866186687103484
10200022012012100
115880794a243893
121a525733145804
13877bcc1758505
14375718d21056c
15181d071791dba
hexb5eb40f92644

200022012012100 has 144 divisors (see below), whose sum is σ = 437148568700928. Its totient is φ = 79439775068160.

The previous prime is 200022012012059. The next prime is 200022012012101. The reversal of 200022012012100 is 1210210220002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200022012012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9913357212 + ... + 9913377388.

It is an arithmetic number, because the mean of its divisors is an integer number (3035753949312).

Almost surely, 2200022012012100 is an apocalyptic number.

200022012012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200022012012100 is an abundant number, since it is smaller than the sum of its proper divisors (237126556688828).

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

200022012012100 is a wasteful number, since it uses less digits than its factorization.

200022012012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21734 (or 21727 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200022012012100 its reverse (1210210220002), we get a palindrome (201232222232102).

The spelling of 200022012012100 in words is "two hundred trillion, twenty-two billion, twelve million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 313 367 626 734 863 1252 1468 1565 1726 1835 3130 3452 3670 4315 6260 7340 7825 8630 9175 15650 17260 18350 20177 21575 31300 36700 40354 43150 80708 86300 100885 114871 201770 229742 270119 316721 403540 459484 504425 540238 574355 633442 1008850 1080476 1148710 1266884 1350595 1583605 2017700 2297420 2701190 2871775 3167210 5402380 5743550 6315401 6334420 6752975 7404959 7918025 11487100 12630802 13505950 14809918 15836050 17412751 25261604 27011900 29619836 31577005 31672100 34825502 37024795 63154010 69651004 74049590 87063755 99133673 126308020 148099180 157885025 174127510 185123975 198267346 315770050 348255020 370247950 396534692 435318775 495668365 631540100 740495900 870637550 991336730 1741275100 1982673460 2317752167 2478341825 4635504334 4956683650 5450191063 6390479617 9271008668 9913367300 10900382126 11588760835 12780959234 21800764252 23177521670 25561918468 27250955315 31952398085 46355043340 54501910630 57943804175 63904796170 109003821260 115887608350 127809592340 136254776575 159761990425 231775216700 272509553150 319523980850 545019106300 639047961700 2000220120121 4000440240242 8000880480484 10001100600605 20002201201210 40004402402420 50005503003025 100011006006050 200022012012100