Search a number
-
+
233110011112 = 231161891014831
BaseRepresentation
bin1101100100011001110…
…0000111110011101000
3211021200211121112002021
43121012130013303220
512304402130323422
6255031140314224
722561453254436
oct3310634076350
9737624545067
10233110011112
118a952584650
12392180a2974
1318c9cb05c24
14b3d55abd56
1560e5122dc7
hex3646707ce8

233110011112 has 128 divisors (see below), whose sum is σ = 495032601600. Its totient is φ = 102009600000.

The previous prime is 233110011091. The next prime is 233110011143. The reversal of 233110011112 is 211110011332.

It is a happy number.

233110011112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 48250537 + ... + 48255367.

It is an arithmetic number, because the mean of its divisors is an integer number (3867442200).

Almost surely, 2233110011112 is an apocalyptic number.

233110011112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233110011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247516300800).

233110011112 is an abundant number, since it is smaller than the sum of its proper divisors (261922590488).

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

233110011112 is a wasteful number, since it uses less digits than its factorization.

233110011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 233110011112 its reverse (211110011332), we get a palindrome (444220022444).

The spelling of 233110011112 in words is "two hundred thirty-three billion, one hundred ten million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 61 88 89 101 122 178 202 244 356 404 488 671 712 808 979 1111 1342 1958 2222 2684 3916 4444 4831 5368 5429 6161 7832 8888 8989 9662 10858 12322 17978 19324 21716 24644 35956 38648 43432 49288 53141 59719 67771 71912 98879 106282 119438 135542 197758 212564 238876 271084 294691 395516 425128 429959 477752 487931 542168 548329 589382 791032 859918 975862 1096658 1178764 1719836 1951724 2193316 2357528 3241601 3439672 3903448 4386632 4729549 5367241 6031619 6483202 9459098 10734482 12063238 12966404 18918196 21468964 24126476 25932808 26227499 29763791 37836392 42937928 43425859 48252952 52454998 59527582 86851718 104909996 119055164 173703436 209819992 238110328 288502489 327401701 347406872 477684449 577004978 654803402 955368898 1154009956 1309606804 1910737796 2308019912 2619213608 2648977399 3821475592 5297954798 10595909596 21191819192 29138751389 58277502778 116555005556 233110011112