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106022012264 = 2372409965983
BaseRepresentation
bin110001010111101100…
…1111000010101101000
3101010122212010021001222
41202233121320111220
53214113113343024
6120412243401212
710442216143400
oct1425731702550
9333585107058
10106022012264
1140a66731043
121866a683208
139cc83147cc
1451bab5d800
152b57c6e85e
hex18af678568

106022012264 has 48 divisors (see below), whose sum is σ = 231306912000. Its totient is φ = 45426231648.

The previous prime is 106022012263. The next prime is 106022012323. The reversal of 106022012264 is 462210220601.

106022012264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1060220122642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106022012263) 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 11 ways as a sum of consecutive naturals, for example, 1573817 + ... + 1639799.

It is an arithmetic number, because the mean of its divisors is an integer number (4818894000).

Almost surely, 2106022012264 is an apocalyptic number.

106022012264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106022012264 is an abundant number, since it is smaller than the sum of its proper divisors (125284899736).

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

106022012264 is a wasteful number, since it uses less digits than its factorization.

106022012264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70102 (or 70091 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 106022012264 its reverse (462210220601), we get a palindrome (568232232865).

The spelling of 106022012264 in words is "one hundred six billion, twenty-two million, twelve thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 4099 8198 16396 28693 32792 57386 65983 114772 131966 200851 229544 263932 401702 461881 527864 803404 923762 1606808 1847524 3233167 3695048 6466334 12932668 25865336 270464317 540928634 1081857268 1893250219 2163714536 3786500438 7573000876 13252751533 15146001752 26505503066 53011006132 106022012264