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113232223404 = 2235237369383
BaseRepresentation
bin110100101110100101…
…0101001110010101100
3101211021100101221100000
41221131022221302230
53323344422122104
6124003531304300
711116000006206
oct1513512516254
9354240357300
10113232223404
1144026702423
1219b412ab090
13a8a703b731
1456a2599776
152e2ac5d639
hex1a5d2a9cac

113232223404 has 144 divisors (see below), whose sum is σ = 313979807232. Its totient is φ = 35607952512.

The previous prime is 113232223297. The next prime is 113232223409. The reversal of 113232223404 is 404322232311.

113232223404 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 32 + 223 + 404 = 666.

It is a super-4 number, since 4×1132322234044 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113232223409) 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 47 ways as a sum of consecutive naturals, for example, 1597297 + ... + 1666679.

It is an arithmetic number, because the mean of its divisors is an integer number (2180415328).

Almost surely, 2113232223404 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 113232223404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156989903616).

113232223404 is an abundant number, since it is smaller than the sum of its proper divisors (200747583828).

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

113232223404 is a wasteful number, since it uses less digits than its factorization.

113232223404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69498 (or 69484 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 113232223404 its reverse (404322232311), we get a palindrome (517554455715).

The spelling of 113232223404 in words is "one hundred thirteen billion, two hundred thirty-two million, two hundred twenty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 73 81 92 108 138 146 162 207 219 243 276 292 324 414 438 486 621 657 828 876 972 1242 1314 1679 1863 1971 2484 2628 3358 3726 3942 5037 5589 5913 6716 7452 7884 10074 11178 11826 15111 17739 20148 22356 23652 30222 35478 45333 60444 69383 70956 90666 135999 138766 181332 208149 271998 277532 407997 416298 543996 624447 815994 832596 1248894 1595809 1631988 1873341 2497788 3191618 3746682 4787427 5064959 5620023 6383236 7493364 9574854 10129918 11240046 14362281 15194877 16860069 19149708 20259836 22480092 28724562 30389754 33720138 43086843 45584631 57449124 60779508 67440276 86173686 91169262 116494057 129260529 136753893 172347372 182338524 232988114 258521058 273507786 349482171 387781587 410261679 465976228 517042116 547015572 698964342 775563174 820523358 1048446513 1230785037 1397928684 1551126348 1641046716 2096893026 2461570074 3145339539 4193786052 4923140148 6290679078 9436018617 12581358156 18872037234 28308055851 37744074468 56616111702 113232223404