Search a number
-
+
20000201112 = 23323715747819
BaseRepresentation
bin10010101000000110…
…101101100110011000
31220121211220111010100
4102220012231212120
5311430022413422
613104333415400
71305423622143
oct225006554630
956554814110
1020000201112
118533657131
123a6203a560
131b69748338
14d7a33905a
157c0caa7ac
hex4a81ad998

20000201112 has 96 divisors (see below), whose sum is σ = 55986699600. Its totient is φ = 6445101312.

The previous prime is 20000201107. The next prime is 20000201119. The reversal of 20000201112 is 21110200002.

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 = 20000201094 and 20000201103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000201119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394339 + ... + 442157.

Almost surely, 220000201112 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 20000201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27993349800).

20000201112 is an abundant number, since it is smaller than the sum of its proper divisors (35986498488).

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

20000201112 is a wasteful number, since it uses less digits than its factorization.

20000201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48025 (or 48018 counting only the distinct ones).

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

Adding to 20000201112 its reverse (21110200002), we get a palindrome (41110401114).

The spelling of 20000201112 in words is "twenty billion, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 157 222 296 314 333 444 471 628 666 888 942 1256 1332 1413 1884 2664 2826 3768 5652 5809 11304 11618 17427 23236 34854 46472 47819 52281 69708 95638 104562 139416 143457 191276 209124 286914 382552 418248 430371 573828 860742 1147656 1721484 1769303 3442968 3538606 5307909 7077212 7507583 10615818 14154424 15015166 15923727 21231636 22522749 30030332 31847454 42463272 45045498 60060664 63694908 67568247 90090996 127389816 135136494 180181992 270272988 277780571 540545976 555561142 833341713 1111122284 1666683426 2222244568 2500025139 3333366852 5000050278 6666733704 10000100556 20000201112