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106112022224 = 241310315132801
BaseRepresentation
bin110001011010011000…
…1001111011011010000
3101010220010111020112012
41202310301033123100
53214304134202344
6120425220522052
710444361210165
oct1426461173320
9333803436465
10106112022224
114100251993a
1218694850328
13a010b6b140
1451c8ab006c
152b60aee29e
hex18b4c4f6d0

106112022224 has 80 divisors (see below), whose sum is σ = 225043762944. Its totient is φ = 48176640000.

The previous prime is 106112022199. The next prime is 106112022251. The reversal of 106112022224 is 422220211601.

It is a super-2 number, since 2×1061120222242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106112022224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3218624 + ... + 3251424.

Almost surely, 2106112022224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106112022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112521881472).

106112022224 is an abundant number, since it is smaller than the sum of its proper divisors (118931740720).

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

106112022224 is a wasteful number, since it uses less digits than its factorization.

106112022224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33076 (or 33070 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 106112022224 its reverse (422220211601), we get a palindrome (528332233825).

The spelling of 106112022224 in words is "one hundred six billion, one hundred twelve million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 103 104 151 206 208 302 412 604 824 1208 1339 1648 1963 2416 2678 3926 5356 7852 10712 15553 15704 21424 31106 31408 32801 62212 65602 124424 131204 202189 248848 262408 404378 426413 524816 808756 852826 1617512 1705652 3235024 3378503 3411304 4952951 6757006 6822608 9905902 13514012 19811804 27028024 39623608 43920539 54056048 64388363 79247216 87841078 128776726 175682156 257553452 351364312 510153953 515106904 702728624 1020307906 1030213808 2040615812 4081231624 6632001389 8162463248 13264002778 26528005556 53056011112 106112022224