Search a number
-
+
100210012020211 = 2327138947838641
BaseRepresentation
bin10110110010001111110110…
…001010110101110111110011
3111010210222120000222112112111
4112302033312022311313303
5101113320101034121321
6553043502145110151
730051635341643452
oct2662176612656763
9433728500875474
10100210012020211
1129a25911352345
12b2a5456328357
1343bb9c07a0822
141aa62948a4b99
15b8ba5bbc85e1
hex5b23f62b5df3

100210012020211 has 32 divisors (see below), whose sum is σ = 105256805621760. Its totient is φ = 95222917785600.

The previous prime is 100210012020197. The next prime is 100210012020247. The reversal of 100210012020211 is 112020210012001.

It is a cyclic number.

It is not a de Polignac number, because 100210012020211 - 239 = 99660256206323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210012020191 and 100210012020200.

It is not an unprimeable number, because it can be changed into a prime (100210012000211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11597034451 + ... + 11597043091.

It is an arithmetic number, because the mean of its divisors is an integer number (3289275175680).

Almost surely, 2100210012020211 is an apocalyptic number.

100210012020211 is a deficient number, since it is larger than the sum of its proper divisors (5046793601549).

100210012020211 is a wasteful number, since it uses less digits than its factorization.

100210012020211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14107.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100210012020211 its reverse (112020210012001), we get a palindrome (212230222032212).

The spelling of 100210012020211 in words is "one hundred trillion, two hundred ten billion, twelve million, twenty thousand, two hundred eleven".

Divisors: 1 23 271 389 4783 6233 8641 8947 105419 110009 198743 1296193 1860587 2341711 2424637 3361349 29812439 41329903 42793501 53859353 77311027 504219077 910925579 950587769 11200403713 11597038771 16077332267 20951288317 257609285399 369778642141 4356957044357 100210012020211