Search a number
-
+
33431132220431 = 1141671109997627
BaseRepresentation
bin1111001100111110010101…
…10000101010110000001111
311101100222121002022001202012
413212133022300222300033
513340213424322023211
6155034014454251435
710020214423143341
oct746371260526017
9141328532261665
1033431132220431
11a71a077655120
1238bb216656b7b
1315867083c4a9a
1483810adb9291
153ce94913cd8b
hex1e67cac2ac0f

33431132220431 has 32 divisors (see below), whose sum is σ = 37951684565760. Its totient is φ = 29181757651200.

The previous prime is 33431132220379. The next prime is 33431132220433. The reversal of 33431132220431 is 13402223113433.

It is a de Polignac number, because none of the positive numbers 2k-33431132220431 is a prime.

It is a super-2 number, since 2×334311322204312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33431132220433) 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, 33011840 + ... + 34009466.

It is an arithmetic number, because the mean of its divisors is an integer number (1185990142680).

Almost surely, 233431132220431 is an apocalyptic number.

33431132220431 is a deficient number, since it is larger than the sum of its proper divisors (4520552345329).

33431132220431 is a wasteful number, since it uses less digits than its factorization.

33431132220431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998855.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 33431132220431 its reverse (13402223113433), we get a palindrome (46833355333864).

The spelling of 33431132220431 in words is "thirty-three trillion, four hundred thirty-one billion, one hundred thirty-two million, two hundred twenty thousand, four hundred thirty-one".

Divisors: 1 11 41 67 451 737 1109 2747 12199 30217 45469 74303 500159 817333 997627 3046423 10973897 33510653 40902707 66841009 449929777 735251099 1106368343 2740481369 12170051773 30145295059 45361102063 74126678981 498972122693 815393468791 3039193838221 33431132220431