Search a number
-
+
210010111222101 = 32111481585138287
BaseRepresentation
bin101111110000000011001010…
…000101000010000101010101
31000112120202210201220121120020
4233300003022011002011111
5210011301201433101401
62022353151353055353
762143505221645551
oct5760031205020525
91015522721817506
10210010111222101
1160a08873918173
121b6794493b7559
139024b3a177258
1439c0787988861
151942ca1a0ed36
hexbf00ca142155

210010111222101 has 32 divisors (see below), whose sum is σ = 281585997428736. Its totient is φ = 139221678960000.

The previous prime is 210010111222061. The next prime is 210010111222151. The reversal of 210010111222101 is 101222111010012.

It is a happy number.

It is not a de Polignac number, because 210010111222101 - 213 = 210010111213909 is a prime.

It is a super-3 number, since 3×2100101112221013 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210010111222151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5485135380 + ... + 5485173666.

It is an arithmetic number, because the mean of its divisors is an integer number (8799562419648).

Almost surely, 2210010111222101 is an apocalyptic number.

It is an amenable number.

210010111222101 is a deficient number, since it is larger than the sum of its proper divisors (71575886206635).

210010111222101 is a wasteful number, since it uses less digits than its factorization.

210010111222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45833.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 210010111222101 its reverse (101222111010012), we get a palindrome (311232222232113).

The spelling of 210010111222101 in words is "two hundred ten trillion, ten billion, one hundred eleven million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 211 633 1481 4443 5851 17553 38287 114861 312491 937473 1234561 3703683 8078557 8665331 24235671 25995993 56703047 170109141 224017237 672051711 1828384841 5485154523 11964342917 35893028751 47267637007 141802911021 331769527997 995308583991 70003370407367 210010111222101