Search a number
-
+
210122110201101 = 3723264729234287
BaseRepresentation
bin101111110001101011011101…
…101111001110110100001101
31000112222110220010202020121120
4233301223131233032310031
5210020120040202413401
62022520433111551153
762154551525366250
oct5761533557166415
91015873803666546
10210122110201101
1160a5131737783a
121b6970a568b4b9
139032578851867
1439c5d7043d097
151945b59367836
hexbf1addbced0d

210122110201101 has 48 divisors (see below), whose sum is σ = 335229814370304. Its totient is φ = 114671837646432.

The previous prime is 210122110201063. The next prime is 210122110201163. The reversal of 210122110201101 is 101102011221012.

It is a happy number.

It is not a de Polignac number, because 210122110201101 - 234 = 210104930331917 is a prime.

It is a super-2 number, since 2×2101221102011012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210122110201501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7429621 + ... + 21804666.

It is an arithmetic number, because the mean of its divisors is an integer number (6983954466048).

Almost surely, 2210122110201101 is an apocalyptic number.

210122110201101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210122110201101 is a deficient number, since it is larger than the sum of its proper divisors (125107704169203).

210122110201101 is a wasteful number, since it uses less digits than its factorization.

210122110201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29234990 (or 29234967 counting only the distinct ones).

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

Adding to 210122110201101 its reverse (101102011221012), we get a palindrome (311224121422113).

The spelling of 210122110201101 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred ten million, two hundred one thousand, one hundred one".

Divisors: 1 3 7 21 23 69 161 483 529 647 1587 1941 3703 4529 11109 13587 14881 44643 104167 312501 342263 1026789 2395841 7187523 29234287 87702861 204640009 613920027 672388601 2017165803 4706720207 14120160621 15464937823 18914583689 46394813469 56743751067 108254564761 132402085823 324763694283 397206257469 435035424847 1305106274541 3045247973929 9135743921787 10005814771481 30017444314443 70040703400367 210122110201101