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20030000112 = 243519326693
BaseRepresentation
bin10010101001111000…
…011000101111110000
31220200220222102200000
4102221320120233300
5312010140000422
613111320230000
71306235122533
oct225170305760
956626872600
1020030000112
11854945a601
123a7000b300
131b7297c995
14d80294a1a
157c36e4cac
hex4a9e18bf0

20030000112 has 120 divisors (see below), whose sum is σ = 58435728624. Its totient is φ = 6641823744.

The previous prime is 20030000071. The next prime is 20030000113. The reversal of 20030000112 is 21100003002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20030000094 and 20030000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20030000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737038 + ... + 763730.

Almost surely, 220030000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20030000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29217864312).

20030000112 is an abundant number, since it is smaller than the sum of its proper divisors (38405728512).

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

20030000112 is a wasteful number, since it uses less digits than its factorization.

20030000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26909 (or 26891 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20030000112 its reverse (21100003002), we get a palindrome (41130003114).

The spelling of 20030000112 in words is "twenty billion, thirty million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 193 216 243 324 386 432 486 579 648 772 972 1158 1296 1544 1737 1944 2316 3088 3474 3888 4632 5211 6948 9264 10422 13896 15633 20844 26693 27792 31266 41688 46899 53386 62532 80079 83376 93798 106772 125064 160158 187596 213544 240237 250128 320316 375192 427088 480474 640632 720711 750384 960948 1281264 1441422 1921896 2162133 2882844 3843792 4324266 5151749 5765688 6486399 8648532 10303498 11531376 12972798 15455247 17297064 20606996 25945596 30910494 34594128 41213992 46365741 51891192 61820988 82427984 92731482 103782384 123641976 139097223 185462964 247283952 278194446 370925928 417291669 556388892 741851856 834583338 1112777784 1251875007 1669166676 2225555568 2503750014 3338333352 5007500028 6676666704 10015000056 20030000112