Search a number
-
+
113229219208 = 23724345714699
BaseRepresentation
bin110100101110011111…
…1001100010110001000
3101211021010202022100111
41221130333030112020
53323343140003313
6124003343044104
711115632324500
oct1513477142610
9354233668314
10113229219208
1144024a40316
1219b402a0634
13a8a65291c1
1456a2016a00
152e2a86843d
hex1a5cfcc588

113229219208 has 96 divisors (see below), whose sum is σ = 253280412000. Its totient is φ = 47291344128.

The previous prime is 113229219203. The next prime is 113229219227. The reversal of 113229219208 is 802912922311.

It is a super-2 number, since 2×1132292192082 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113229219203) 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, 7695843 + ... + 7710541.

It is an arithmetic number, because the mean of its divisors is an integer number (2638337625).

Almost surely, 2113229219208 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 113229219208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126640206000).

113229219208 is an abundant number, since it is smaller than the sum of its proper divisors (140051192792).

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

113229219208 is a wasteful number, since it uses less digits than its factorization.

113229219208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15219 (or 15208 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 113229219208 in words is "one hundred thirteen billion, two hundred twenty-nine million, two hundred nineteen thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 28 43 49 56 86 98 172 196 301 344 392 457 602 914 1204 1828 2107 2408 3199 3656 4214 6398 8428 12796 14699 16856 19651 22393 25592 29398 39302 44786 58796 78604 89572 102893 117592 137557 157208 179144 205786 275114 411572 550228 632057 720251 823144 962899 1100456 1264114 1440502 1925798 2528228 2881004 3851596 4424399 5056456 5762008 6717443 7703192 8848798 13434886 17697596 26869772 30970793 35395192 47022101 53739544 61941586 94044202 123883172 188088404 247766344 288850049 329154707 376176808 577700098 658309414 1155400196 1316618828 2021950343 2310800392 2633237656 4043900686 8087801372 14153652401 16175602744 28307304802 56614609604 113229219208