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200211001010100 = 223252569339075473
BaseRepresentation
bin101101100001011101000001…
…100110000110011110110100
3222020212222120220020221220100
4231201131001212012132310
5202220224112224310400
61545451355241234100
760112524150312333
oct5541350146063664
9866788526227810
10200211001010100
1158880010642233
121a556297192930
138793a7c79a392
14376239ab99d1a
151822e33202100
hexb617419867b4

200211001010100 has 108 divisors (see below), whose sum is σ = 627660507804876. Its totient is φ = 53380220789760.

The previous prime is 200211001010093. The next prime is 200211001010101. The reversal of 200211001010100 is 1010100112002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 45692029929744 + 154518971080356 = 6759588^2 + 12430566^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200211001010101) 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 35 ways as a sum of consecutive naturals, for example, 14414037 + ... + 24661436.

Almost surely, 2200211001010100 is an apocalyptic number.

200211001010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200211001010100 is an abundant number, since it is smaller than the sum of its proper divisors (427449506794776).

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

200211001010100 is a wasteful number, since it uses less digits than its factorization.

200211001010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39081186 (or 39081176 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200211001010100 its reverse (1010100112002), we get a palindrome (201221101122102).

The spelling of 200211001010100 in words is "two hundred trillion, two hundred eleven billion, one million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 5693 11386 17079 22772 28465 34158 51237 56930 68316 85395 102474 113860 142325 170790 204948 256185 284650 341580 426975 512370 569300 853950 1024740 1280925 1707900 2561850 5123700 39075473 78150946 117226419 156301892 195377365 234452838 351679257 390754730 468905676 586132095 703358514 781509460 976886825 1172264190 1406717028 1758396285 1953773650 2344528380 2930660475 3516792570 3907547300 5861320950 7033585140 8791981425 11722641900 17583962850 35167925700 222456667789 444913335578 667370003367 889826671156 1112283338945 1334740006734 2002110010101 2224566677890 2669480013468 3336850016835 4004220020202 4449133355780 5561416694725 6673700033670 8008440040404 10010550050505 11122833389450 13347400067340 16684250084175 20021100101010 22245666778900 33368500168350 40042200202020 50052750252525 66737000336700 100105500505050 200211001010100