Search a number
-
+
20033122032001 = 1318144201192617
BaseRepresentation
bin1001000111000010100110…
…00111110101100110000001
32121221010222201102001210201
410203201103013311212001
510111210313220011001
6110335031134125201
74135226303446561
oct443412307654601
977833881361721
1020033122032001
116423aaa140a01
1222b6678050801
13b24166419140
144d3873196da1
1524b192b0b501
hex1238531f5981

20033122032001 has 16 divisors (see below), whose sum is σ = 21693928930128. Its totient is φ = 18389434752000.

The previous prime is 20033122031999. The next prime is 20033122032059. The reversal of 20033122032001 is 10023022133002.

It can be written as a sum of positive squares in 8 ways, for example, as 6672927406401 + 13360194625600 = 2583201^2 + 3655160^2 .

It is not a de Polignac number, because 20033122032001 - 21 = 20033122031999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20033122032001.

It is not an unprimeable number, because it can be changed into a prime (20033122092001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103908645 + ... + 104101261.

It is an arithmetic number, because the mean of its divisors is an integer number (1355870558133).

Almost surely, 220033122032001 is an apocalyptic number.

It is an amenable number.

20033122032001 is a deficient number, since it is larger than the sum of its proper divisors (1660806898127).

20033122032001 is a wasteful number, since it uses less digits than its factorization.

20033122032001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237012.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20033122032001 its reverse (10023022133002), we get a palindrome (30056144165003).

The spelling of 20033122032001 in words is "twenty trillion, thirty-three billion, one hundred twenty-two million, thirty-two thousand, one".

Divisors: 1 13 181 2353 44201 192617 574613 2504021 8000381 34863677 104004953 453227801 8513864017 110680232221 1541009387077 20033122032001