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106042311220 = 2258521622241
BaseRepresentation
bin110001011000010011…
…1010100001000110100
3101010201021022120000011
41202300213110020310
53214133312424340
6120414250430004
710442553526126
oct1426047241064
9333637276004
10106042311220
1140a77135a3a
1218675432304
139ccc5a1021
1451bd725216
152b5992e0ea
hex18b09d4234

106042311220 has 24 divisors (see below), whose sum is σ = 222715345608. Its totient is φ = 42411878400.

The previous prime is 106042311217. The next prime is 106042311247. The reversal of 106042311220 is 22113240601.

It can be written as a sum of positive squares in 4 ways, for example, as 8602191504 + 97440119716 = 92748^2 + 312154^2 .

It is a super-2 number, since 2×1060423112202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106042311191 and 106042311200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140701 + ... + 481540.

It is an arithmetic number, because the mean of its divisors is an integer number (9279806067).

Almost surely, 2106042311220 is an apocalyptic number.

106042311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106042311220 is an abundant number, since it is smaller than the sum of its proper divisors (116673034388).

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

106042311220 is a wasteful number, since it uses less digits than its factorization.

106042311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630771 (or 630769 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 106042311220 its reverse (22113240601), we get a palindrome (128155551821).

The spelling of 106042311220 in words is "one hundred six billion, forty-two million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 8521 17042 34084 42605 85210 170420 622241 1244482 2488964 3111205 6222410 12444820 5302115561 10604231122 21208462244 26510577805 53021155610 106042311220