Search a number
-
+
33122324431420 = 2257367164447843
BaseRepresentation
bin1111000011111111001000…
…11000011100001000111100
311100021110111201221222220021
413201333210120130020330
513320134010023301140
6154240104043501524
76656003035223560
oct741774430341074
9140243451858807
1033122324431420
11a61010a70a654
12386b3b35278a4
1315635638a3b03
148271b41b76a0
153c68c35bdb4a
hex1e1fe461c23c

33122324431420 has 48 divisors (see below), whose sum is σ = 79515234344448. Its totient is φ = 11353131846720.

The previous prime is 33122324431393. The next prime is 33122324431447. The reversal of 33122324431420 is 2413442322133.

It is an interprime number because it is at equal distance from previous prime (33122324431393) and next prime (33122324431447).

It is a super-3 number, since 3×331223244314203 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31709982 + ... + 32737861.

It is an arithmetic number, because the mean of its divisors is an integer number (1656567382176).

Almost surely, 233122324431420 is an apocalyptic number.

It is an amenable number.

33122324431420 is an abundant number, since it is smaller than the sum of its proper divisors (46392909913028).

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

33122324431420 is a wasteful number, since it uses less digits than its factorization.

33122324431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64451530 (or 64451528 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 33122324431420 its reverse (2413442322133), we get a palindrome (35535766753553).

The spelling of 33122324431420 in words is "thirty-three trillion, one hundred twenty-two billion, three hundred twenty-four million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 3671 7342 14684 18355 25697 36710 51394 73420 102788 128485 256970 513940 64447843 128895686 257791372 322239215 451134901 644478430 902269802 1288956860 1804539604 2255674505 4511349010 9022698020 236588031653 473176063306 946352126612 1182940158265 1656116221571 2365880316530 3312232443142 4731760633060 6624464886284 8280581107855 16561162215710 33122324431420