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20100102201 = 3217237180449
BaseRepresentation
bin10010101110000011…
…110011100000111001
31220212210212222122200
4102232003303200321
5312131111232301
613122302540413
71311046023024
oct225603634071
956783788580
1020100102201
118584a90313
123a8b597709
131b84355aca
14d897021bb
157c9940c86
hex4ae0f3839

20100102201 has 48 divisors (see below), whose sum is σ = 32530118400. Its totient is φ = 11893432320.

The previous prime is 20100102199. The next prime is 20100102221. The reversal of 20100102201 is 10220100102.

It is not a de Polignac number, because 20100102201 - 21 = 20100102199 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20100102221) by changing a digit.

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, 209625 + ... + 290073.

It is an arithmetic number, because the mean of its divisors is an integer number (677710800).

Almost surely, 220100102201 is an apocalyptic number.

It is an amenable number.

20100102201 is a deficient number, since it is larger than the sum of its proper divisors (12430016199).

20100102201 is a wasteful number, since it uses less digits than its factorization.

20100102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80566 (or 80563 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100102201 its reverse (10220100102), we get a palindrome (30320202303).

The spelling of 20100102201 in words is "twenty billion, one hundred million, one hundred two thousand, two hundred one".

Divisors: 1 3 9 17 23 51 69 71 153 207 213 391 639 1173 1207 1633 3519 3621 4899 10863 14697 27761 80449 83283 241347 249849 724041 1367633 1850327 4102899 5550981 5711879 12308697 16652943 17135637 31455559 51406911 94366677 97101943 131373217 283100031 291305829 394119651 873917487 1182358953 2233344689 6700034067 20100102201