Search a number
-
+
106211403162 = 23223298846527
BaseRepresentation
bin110001011101010110…
…0010110010110011010
3101011011001111022112200
41202322230112112122
53220010104400122
6120443130551030
710450006013424
oct1427254262632
9334131438480
10106211403162
1141053628247
1218701b98476
13a028625c27
1451d7d7d814
152b696d05ac
hex18bab1659a

106211403162 has 48 divisors (see below), whose sum is σ = 248410506240. Its totient is φ = 32696760096.

The previous prime is 106211403161. The next prime is 106211403163. The reversal of 106211403162 is 261304112601.

It is a happy number.

106211403162 is a `hidden beast` number, since 1 + 0 + 621 + 1 + 4 + 0 + 31 + 6 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106211403161) and next prime (106211403163).

It is a super-2 number, since 2×1062114031622 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106211403161) 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 23 ways as a sum of consecutive naturals, for example, 4411258 + ... + 4435269.

It is an arithmetic number, because the mean of its divisors is an integer number (5175218880).

Almost surely, 2106211403162 is an apocalyptic number.

106211403162 is an abundant number, since it is smaller than the sum of its proper divisors (142199103078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106211403162 is a wasteful number, since it uses less digits than its factorization.

106211403162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8846587 (or 8846584 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 106211403162 its reverse (261304112601), we get a palindrome (367515515763).

The spelling of 106211403162 in words is "one hundred six billion, two hundred eleven million, four hundred three thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 1334 2001 4002 6003 12006 8846527 17693054 26539581 53079162 79618743 159237486 203470121 256549283 406940242 513098566 610410363 769647849 1220820726 1539295698 1831231089 2308943547 3662462178 4617887094 5900633509 11801267018 17701900527 35403801054 53105701581 106211403162