Search a number
-
+
11033000121213 = 337401145575217
BaseRepresentation
bin1010000010001101001000…
…0011011001001101111101
31110001202002202012112022000
42200203102003121031331
52421231041012334323
635244253522412513
72216052012451260
oct240432203311575
943052082175260
1011033000121213
113574083a36464
1212a2329501139
1362053b2138b5
142a2000218cd7
15141ed889ce43
hexa08d20d937d

11033000121213 has 32 divisors (see below), whose sum is σ = 18726796043520. Its totient is φ = 6288849331200.

The previous prime is 11033000121179. The next prime is 11033000121217. The reversal of 11033000121213 is 31212100033011.

11033000121213 is a `hidden beast` number, since 1 + 1 + 0 + 330 + 0 + 0 + 121 + 213 = 666.

It is not a de Polignac number, because 11033000121213 - 213 = 11033000113021 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033000121217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72711820 + ... + 72863397.

It is an arithmetic number, because the mean of its divisors is an integer number (585212376360).

Almost surely, 211033000121213 is an apocalyptic number.

It is an amenable number.

11033000121213 is a deficient number, since it is larger than the sum of its proper divisors (7693795922307).

11033000121213 is a wasteful number, since it uses less digits than its factorization.

11033000121213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145575634 (or 145575628 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11033000121213 its reverse (31212100033011), we get a palindrome (42245100154224).

The spelling of 11033000121213 in words is "eleven trillion, thirty-three billion, one hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 63 189 401 1203 2807 3609 8421 10827 25263 75789 145575217 436725651 1019026519 1310176953 3057079557 3930530859 9171238671 27513716013 58375662017 175126986051 408629634119 525380958153 1225888902357 1576142874459 3677666707071 11033000121213