Search a number
-
+
2120211220199 = 1929311011279677
BaseRepresentation
bin11110110110100110011…
…011111100011011100111
321111200122011110120002212
4132312212123330123213
5234214143033021244
64302002300354035
7306115545005552
oct36664633743347
97450564416085
102120211220199
117481a3a61856
122a2ab254591b
13124c20433ab7
1474893c99699
153a2417a6d9e
hex1eda66fc6e7

2120211220199 has 64 divisors (see below), whose sum is σ = 2426034585600. Its totient is φ = 1843394112000.

The previous prime is 2120211220177. The next prime is 2120211220223. The reversal of 2120211220199 is 9910221120212.

It is a cyclic number.

It is not a de Polignac number, because 2120211220199 - 28 = 2120211219943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120211220109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219093149 + ... + 219102825.

It is an arithmetic number, because the mean of its divisors is an integer number (37906790400).

Almost surely, 22120211220199 is an apocalyptic number.

2120211220199 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2120211220199 is a deficient number, since it is larger than the sum of its proper divisors (305823365401).

2120211220199 is a wasteful number, since it uses less digits than its factorization.

2120211220199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9984.

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 2120211220199 in words is "two trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty thousand, one hundred ninety-nine".

Divisors: 1 19 29 31 101 127 551 589 899 1919 2413 2929 3131 3683 3937 9677 12827 17081 55651 59489 69977 74803 90799 114173 183863 243713 280633 299987 371983 397637 977377 1228979 1725181 2169287 5332027 5699753 7067677 7555103 8699623 11531473 18570163 23350601 28343933 30298687 35640391 38098349 124126879 165292837 219097987 538534727 575675053 677167429 723868631 878661923 1104852121 2358410701 3599679491 3847933249 16694576537 20992190299 68393910329 73110731731 111590064221 2120211220199