Search a number
-
+
112312003101032 = 23747401106413301
BaseRepresentation
bin11001100010010110101101…
…000011001000000101101000
3112201122220220121021100222202
4121202112231003020011220
5104210104440243213112
61034511231050035332
732441163064601030
oct3142265503100550
9481586817240882
10112312003101032
1132871286867789
121071a99a718b48
134a88c90343577
141da3d03b1a8c0
15ceb75da336c2
hex6625ad0c8168

112312003101032 has 64 divisors (see below), whose sum is σ = 246402129047040. Its totient is φ = 46992113280000.

The previous prime is 112312003101017. The next prime is 112312003101037. The reversal of 112312003101032 is 230101300213211.

It is a happy number.

It is a super-2 number, since 2×1123120031010322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112312003100995 and 112312003101013.

It is not an unprimeable number, because it can be changed into a prime (112312003101037) 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 15 ways as a sum of consecutive naturals, for example, 52151219 + ... + 54262082.

It is an arithmetic number, because the mean of its divisors is an integer number (3850033266360).

Almost surely, 2112312003101032 is an apocalyptic number.

It is an amenable number.

112312003101032 is an abundant number, since it is smaller than the sum of its proper divisors (134090125946008).

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

112312003101032 is a wasteful number, since it uses less digits than its factorization.

112312003101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106413762 (or 106413758 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 112312003101032 its reverse (230101300213211), we get a palindrome (342413303314243).

The spelling of 112312003101032 in words is "one hundred twelve trillion, three hundred twelve billion, three million, one hundred one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 401 658 802 1316 1604 2632 2807 3208 5614 11228 18847 22456 37694 75388 131929 150776 263858 527716 1055432 106413301 212826602 425653204 744893107 851306408 1489786214 2979572428 5001425147 5959144856 10002850294 20005700588 35009976029 40011401176 42671733701 70019952058 85343467402 140039904116 170686934804 280079808232 298702135907 341373869608 597404271814 1194808543628 2005571483947 2389617087256 4011142967894 8022285935788 14039000387629 16044571871576 28078000775258 56156001550516 112312003101032