Search a number
-
+
11232111101232 = 243728875383943
BaseRepresentation
bin1010001101110010110111…
…1111100000010100110000
31110202210001010122022122110
42203130231333200110300
52433011330420214412
635515543254005320
72236331120040300
oct243345577402460
943683033568573
1011232111101232
1136405699947aa
121314a37346840
136362502b2038
142ab8cc1db600
1514728dc63d3c
hexa372dfe0530

11232111101232 has 120 divisors (see below), whose sum is σ = 33791699978496. Its totient is φ = 3205555995264.

The previous prime is 11232111101219. The next prime is 11232111101243. The reversal of 11232111101232 is 23210111123211.

11232111101232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11232111101199 and 11232111101208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605748 + ... + 4778195.

Almost surely, 211232111101232 is an apocalyptic number.

11232111101232 is a gapful number since it is divisible by the number (12) 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 11232111101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895849989248).

11232111101232 is an abundant number, since it is smaller than the sum of its proper divisors (22559588877264).

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

11232111101232 is a wasteful number, since it uses less digits than its factorization.

11232111101232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384855 (or 5384842 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11232111101232 its reverse (23210111123211), we get a palindrome (34442222224443).

The spelling of 11232111101232 in words is "eleven trillion, two hundred thirty-two billion, one hundred eleven million, one hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 887 1176 1774 2352 2661 3548 5322 6209 7096 10644 12418 14192 18627 21288 24836 37254 42576 43463 49672 74508 86926 99344 130389 149016 173852 260778 298032 347704 521556 695408 1043112 2086224 5383943 10767886 16151829 21535772 32303658 37687601 43071544 64607316 75375202 86143088 113062803 129214632 150750404 226125606 258429264 263813207 301500808 452251212 527626414 603001616 791439621 904502424 1055252828 1582879242 1809004848 2110505656 3165758484 4221011312 4775557441 6331516968 9551114882 12663033936 14326672323 19102229764 28653344646 33428902087 38204459528 57306689292 66857804174 76408919056 100286706261 114613378584 133715608348 200573412522 229226757168 234002314609 267431216696 401146825044 468004629218 534862433392 702006943827 802293650088 936009258436 1404013887654 1604587300176 1872018516872 2808027775308 3744037033744 5616055550616 11232111101232