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33131042013004 = 221321910325043647
BaseRepresentation
bin1111000100001111010111…
…11111010111111101001100
311100022022000021122000200021
413202013223333113331030
513320304333223404004
6154244105055511524
76656432051362405
oct742075377277514
9140268007560607
1033131042013004
11a613883545731
123871026b285a4
1315643229a0a00
1482779dcb49ac
153c6c33ab0d54
hex1e21ebfd7f4c

33131042013004 has 72 divisors (see below), whose sum is σ = 66728299223040. Its totient is φ = 14345801825472.

The previous prime is 33131042012963. The next prime is 33131042013103. The reversal of 33131042013004 is 40031024013133.

It is a super-2 number, since 2×331310420130042 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33131042013004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11198892 + ... + 13844755.

Almost surely, 233131042013004 is an apocalyptic number.

It is an amenable number.

33131042013004 is an abundant number, since it is smaller than the sum of its proper divisors (33597257210036).

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

33131042013004 is a wasteful number, since it uses less digits than its factorization.

33131042013004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25043799 (or 25043784 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 33131042013004 its reverse (40031024013133), we get a palindrome (73162066026137).

The spelling of 33131042013004 in words is "thirty-three trillion, one hundred thirty-one billion, forty-two million, thirteen thousand, four".

Divisors: 1 2 4 13 19 26 38 52 76 103 169 206 247 338 412 494 676 988 1339 1957 2678 3211 3914 5356 6422 7828 12844 17407 25441 34814 50882 69628 101764 330733 661466 1322932 25043647 50087294 100174588 325567411 475829293 651134822 951658586 1302269644 1903317172 2579495641 4232376343 5158991282 6185780809 8464752686 10317982564 12371561618 16929505372 24743123236 33533443333 49010417179 67066886666 80415150517 98020834358 134133773332 160830301034 196041668716 321660602068 435934763329 637135423327 871869526658 1274270846654 1743739053316 2548541693308 8282760503251 16565521006502 33131042013004