Search a number
-
+
10233200535511 = 193153833949501
BaseRepresentation
bin1001010011101001101001…
…0010000110011111010111
31100020021200100011220001011
42110322122102012133113
52320130043314114021
633433022321513051
72104216151240422
oct224723222063727
940207610156034
1010233200535511
11329596aa17a18
12119331a1a2787
13592ca9937c85
1427540a7429b9
1512b2c7e97de1
hex94e9a4867d7

10233200535511 has 32 divisors (see below), whose sum is σ = 11465562286080. Its totient is φ = 9093960720000.

The previous prime is 10233200535487. The next prime is 10233200535533. The reversal of 10233200535511 is 11553500233201.

It is a cyclic number.

It is not a de Polignac number, because 10233200535511 - 25 = 10233200535479 is a prime.

It is a super-2 number, since 2×102332005355112 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233200535011) 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 31 ways as a sum of consecutive naturals, for example, 616261 + ... + 4565761.

It is an arithmetic number, because the mean of its divisors is an integer number (358298821440).

Almost surely, 210233200535511 is an apocalyptic number.

10233200535511 is a deficient number, since it is larger than the sum of its proper divisors (1232361750569).

10233200535511 is a wasteful number, since it uses less digits than its factorization.

10233200535511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949687.

The product of its (nonzero) digits is 13500, while the sum is 31.

Adding to 10233200535511 its reverse (11553500233201), we get a palindrome (21786700768712).

The spelling of 10233200535511 in words is "ten trillion, two hundred thirty-three billion, two hundred million, five hundred thirty-five thousand, five hundred eleven".

Divisors: 1 19 31 53 83 589 1007 1577 1643 2573 4399 31217 48887 83581 136369 2591011 3949501 75040519 122434531 209323553 327808583 2326256089 3977147507 6228363077 6489030143 10162066073 17373854899 123291572717 193079255387 330103243081 538589501869 10233200535511