Search a number
-
+
1001002100022 = 23276972316291
BaseRepresentation
bin11101001000100000101…
…11111110010100110110
310112200202120001101021200
432210100113332110312
5112400023014200042
62043504244553330
7132214523314311
oct16442027762466
93480676041250
101001002100022
11356582653531
121420016b2846
1373517a8c832
143663d57d978
151b08970ec4c
hexe9105fe536

1001002100022 has 24 divisors (see below), whose sum is σ = 2171658248760. Its totient is φ = 333233464320.

The previous prime is 1001002100009. The next prime is 1001002100039. The reversal of 1001002100022 is 2200012001001.

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 = 1001002099977 and 1001002100013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36144304 + ... + 36171987.

It is an arithmetic number, because the mean of its divisors is an integer number (90485760365).

Almost surely, 21001002100022 is an apocalyptic number.

1001002100022 is an abundant number, since it is smaller than the sum of its proper divisors (1170656148738).

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

1001002100022 is a wasteful number, since it uses less digits than its factorization.

1001002100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72317068 (or 72317065 counting only the distinct ones).

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

Adding to 1001002100022 its reverse (2200012001001), we get a palindrome (3201014101023).

The spelling of 1001002100022 in words is "one trillion, one billion, two million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 18 769 1538 2307 4614 6921 13842 72316291 144632582 216948873 433897746 650846619 1301693238 55611227779 111222455558 166833683337 333667366674 500501050011 1001002100022