Search a number
-
+
112001023332 = 2232112123120887
BaseRepresentation
bin110100001001111000…
…1111111110101100100
3101201002112200111100100
41220103301333311210
53313334230221312
6123241430344100
711043326663502
oct1502361776544
9351075614310
10112001023332
1143554726600
1219858abb030
13a73bc41c93
1455c6c67672
152da7b0d5dc
hex1a13c7fd64

112001023332 has 108 divisors (see below), whose sum is σ = 311458795648. Its totient is φ = 33910509600.

The previous prime is 112001023301. The next prime is 112001023361. The reversal of 112001023332 is 233320100211.

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 35 ways as a sum of consecutive naturals, for example, 5351793 + ... + 5372679.

Almost surely, 2112001023332 is an apocalyptic number.

112001023332 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 112001023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155729397824).

112001023332 is an abundant number, since it is smaller than the sum of its proper divisors (199457772316).

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

112001023332 is a wasteful number, since it uses less digits than its factorization.

112001023332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22150 (or 22134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112001023332 its reverse (233320100211), we get a palindrome (345321123543).

The spelling of 112001023332 in words is "one hundred twelve billion, one million, twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1231 1452 2178 2462 3693 4356 4924 7386 11079 13541 14772 20887 22158 27082 40623 41774 44316 54164 62661 81246 83548 121869 125322 148951 162492 187983 229757 243738 250644 297902 375966 446853 459514 487476 595804 689271 751932 893706 919028 1340559 1378542 1787412 2067813 2527327 2681118 2757084 4135626 5054654 5362236 7581981 8271252 10109308 15163962 22745943 25711897 30327924 45491886 51423794 77135691 90983772 102847588 154271382 231407073 282830867 308542764 462814146 565661734 848492601 925628292 1131323468 1696985202 2545477803 3111139537 3393970404 5090955606 6222279074 9333418611 10181911212 12444558148 18666837222 28000255833 37333674444 56000511666 112001023332