Search a number
-
+
33020123110013 = 1345739509140677
BaseRepresentation
bin1111000001000000110001…
…01101010101101001111101
311022220200201011010221101002
413200200120231111221331
513312000203004010023
6154121122442500045
76645424301303444
oct740403055255175
9138820634127332
1033020123110013
11a580834732166
123853630504625
131556a26cbc430
1482227aa53d5b
153c3de0ea5b28
hex1e0818b55a7d

33020123110013 has 16 divisors (see below), whose sum is σ = 35639100045360. Its totient is φ = 30412431576576.

The previous prime is 33020123110001. The next prime is 33020123110043. The reversal of 33020123110013 is 31001132102033.

It can be written as a sum of positive squares in 8 ways, for example, as 2768836096324 + 30251287013689 = 1663982^2 + 5500117^2 .

It is a cyclic number.

It is not a de Polignac number, because 33020123110013 - 26 = 33020123109949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33020123110043) 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, 234652631 + ... + 234793307.

It is an arithmetic number, because the mean of its divisors is an integer number (2227443752835).

Almost surely, 233020123110013 is an apocalyptic number.

It is an amenable number.

33020123110013 is a deficient number, since it is larger than the sum of its proper divisors (2618976935347).

33020123110013 is a wasteful number, since it uses less digits than its factorization.

33020123110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180656.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 33020123110013 its reverse (31001132102033), we get a palindrome (64021255212046).

The spelling of 33020123110013 in words is "thirty-three trillion, twenty billion, one hundred twenty-three million, one hundred ten thousand, thirteen".

Divisors: 1 13 457 5941 39509 140677 513617 1828801 18055613 64289389 234722969 835762057 5558007593 72254098709 2540009470001 33020123110013