Search a number
-
+
112001321232 = 243237191110059
BaseRepresentation
bin110100001001111001…
…1001000100100010000
3101201002120020121222200
41220103303020210100
53313334314234412
6123241441003200
711043332344143
oct1502363104420
9351076217880
10112001321232
114355490a3a9
1219859023500
13a73c017758
1455c6d0405a
152da7b6b9dc
hex1a13cc8910

112001321232 has 120 divisors (see below), whose sum is σ = 323608097280. Its totient is φ = 36134242560.

The previous prime is 112001321189. The next prime is 112001321251. The reversal of 112001321232 is 232123100211.

112001321232 is a `hidden beast` number, since 112 + 0 + 0 + 1 + 321 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 962619 + ... + 1072677.

It is an arithmetic number, because the mean of its divisors is an integer number (2696734144).

Almost surely, 2112001321232 is an apocalyptic number.

112001321232 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 112001321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161804048640).

112001321232 is an abundant number, since it is smaller than the sum of its proper divisors (211606776048).

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

112001321232 is a wasteful number, since it uses less digits than its factorization.

112001321232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110301 (or 110292 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112001321232 its reverse (232123100211), we get a palindrome (344124421443).

The spelling of 112001321232 in words is "one hundred twelve billion, one million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 191 222 296 333 382 444 573 592 666 764 888 1146 1332 1528 1719 1776 2292 2664 3056 3438 4584 5328 6876 7067 9168 13752 14134 21201 27504 28268 42402 56536 63603 84804 110059 113072 127206 169608 220118 254412 330177 339216 440236 508824 660354 880472 990531 1017648 1320708 1760944 1981062 2641416 3962124 4072183 5282832 7924248 8144366 12216549 15848496 16288732 21021269 24433098 32577464 36649647 42042538 48866196 63063807 65154928 73299294 84085076 97732392 126127614 146598588 168170152 189191421 195464784 252255228 293197176 336340304 378382842 504510456 586394352 756765684 777786953 1009020912 1513531368 1555573906 2333360859 3027062736 3111147812 4666721718 6222295624 7000082577 9333443436 12444591248 14000165154 18666886872 28000330308 37333773744 56000660616 112001321232