Search a number
-
+
20200101112096 = 2517419265933329
BaseRepresentation
bin1001001011111001100111…
…10110011110100100100000
32122112002222210000012212121
410211330303312132210200
510121424301341041341
6110543444235234024
74153260223302223
oct445746366364440
978462883005777
1020200101112096
1164888a650a254
122322ab8ba8914
13b36b27545949
144db99393d5ba
152506b712e4d1
hex125f33d9e920

20200101112096 has 96 divisors (see below), whose sum is σ = 42225936984000. Its totient is φ = 9479391854592.

The previous prime is 20200101112067. The next prime is 20200101112097. The reversal of 20200101112096 is 69021110100202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20200101112096.

It is not an unprimeable number, because it can be changed into a prime (20200101112097) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 606065160 + ... + 606098488.

It is an arithmetic number, because the mean of its divisors is an integer number (439853510250).

Almost surely, 220200101112096 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 20200101112096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21112968492000).

20200101112096 is an abundant number, since it is smaller than the sum of its proper divisors (22025835871904).

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

20200101112096 is a wasteful number, since it uses less digits than its factorization.

20200101112096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36434 (or 36426 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 20200101112096 its reverse (69021110100202), we get a palindrome (89221211212298).

The spelling of 20200101112096 in words is "twenty trillion, two hundred billion, one hundred one million, one hundred twelve thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 419 544 838 1676 2659 3352 5318 6704 7123 10636 13408 14246 21272 28492 33329 42544 45203 56984 66658 85088 90406 113968 133316 180812 227936 266632 361624 533264 566593 723248 1066528 1114121 1133186 1446496 2228242 2266372 4456484 4532744 8912968 9065488 13964851 17825936 18130976 18940057 27929702 35651872 37880114 55859404 75760228 88621811 111718808 151520456 177243622 223437616 237402467 303040912 354487244 446875232 474804934 606081824 708974488 949609868 1417948976 1506570787 1899219736 2835897952 3013141574 3798439472 6026283148 7596878944 12052566296 24105132592 37132538809 48210265184 74265077618 148530155236 297060310472 594120620944 631253159753 1188241241888 1262506319506 2525012639012 5050025278024 10100050556048 20200101112096