Search a number
-
+
2000112200100 = 2232527317478127
BaseRepresentation
bin11101000110101111111…
…110100010100110100100
321002012122020222012120100
4131012233332202212210
5230232212210400400
64130501105504100
7264334434122040
oct35065776424644
97065566865510
102000112200100
11701274215443
12283775642030
131167c0889c71
146cb3d739020
1537062c92100
hex1d1affa29a4

2000112200100 has 108 divisors (see below), whose sum is σ = 7164846392704. Its totient is φ = 457168501440.

The previous prime is 2000112200039. The next prime is 2000112200117. The reversal of 2000112200100 is 10022110002.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158732764 + ... + 158745363.

Almost surely, 22000112200100 is an apocalyptic number.

2000112200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000112200100 is an abundant number, since it is smaller than the sum of its proper divisors (5164734192604).

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

2000112200100 is a wasteful number, since it uses less digits than its factorization.

2000112200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317478154 (or 317478144 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2000112200100 its reverse (10022110002), we get a palindrome (2010134310102).

The spelling of 2000112200100 in words is "two trillion, one hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 317478127 634956254 952434381 1269912508 1587390635 1904868762 2222346889 2857303143 3174781270 3809737524 4444693778 4762171905 5714606286 6349562540 6667040667 7936953175 8889387556 9524343810 11111734445 11429212572 13334081334 14286515715 15873906350 19048687620 20001122001 22223468890 23810859525 26668162668 28573031430 31747812700 33335203335 40002244002 44446937780 47621719050 55558672225 57146062860 66670406670 71432578575 80004488004 95243438100 100005610005 111117344450 133340813340 142865157150 166676016675 200011220010 222234688900 285730314300 333352033350 400022440020 500028050025 666704066700 1000056100050 2000112200100