Search a number
-
+
1221001200100 = 2252112348260917
BaseRepresentation
bin10001110001001001010…
…101111100000111100100
311022201121200011121120101
4101301021111330013210
5130001102301400400
62332530433113444
7154133355646453
oct21611125740744
94281550147511
101221001200100
11430907389610
1217877a9b8884
138b1a852cb26
144314d790b9a
1521b637c356a
hex11c4957c1e4

1221001200100 has 72 divisors (see below), whose sum is σ = 3016114331328. Its totient is φ = 424696060800.

The previous prime is 1221001200079. The next prime is 1221001200131. The reversal of 1221001200100 is 10021001221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24105159 + ... + 24155758.

It is an arithmetic number, because the mean of its divisors is an integer number (41890476824).

Almost surely, 21221001200100 is an apocalyptic number.

1221001200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221001200100 is an abundant number, since it is smaller than the sum of its proper divisors (1795113131228).

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

1221001200100 is a wasteful number, since it uses less digits than its factorization.

1221001200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48260965 (or 48260958 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1221001200100 its reverse (10021001221), we get a palindrome (1231022201321).

The spelling of 1221001200100 in words is "one trillion, two hundred twenty-one billion, one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 25300 48260917 96521834 193043668 241304585 482609170 530870087 965218340 1061740174 1110001091 1206522925 2123480348 2220002182 2413045850 2654350435 4440004364 4826091700 5308700870 5550005455 10617401740 11100010910 12210012001 13271752175 22200021820 24420024002 26543504350 27750027275 48840048004 53087008700 55500054550 61050060005 111000109100 122100120010 244200240020 305250300025 610500600050 1221001200100