Search a number
-
+
33100142234031 = 331999361318021
BaseRepresentation
bin1111000011010101110100…
…01110000100100110101111
311100012100020211020121121000
413201222322032010212233
513314303042402442111
6154221555002211343
76654256244525265
oct741527216044657
9140170224217530
1033100142234031
11a601767410414
1238670427b3b53
13156143a08ba22
148260ac16a435
153c6025ea0c56
hex1e1aba3849af

33100142234031 has 16 divisors (see below), whose sum is σ = 49039701274720. Its totient is φ = 22065657405120.

The previous prime is 33100142234023. The next prime is 33100142234057. The reversal of 33100142234031 is 13043224100133.

It is a happy number.

33100142234031 is a `hidden beast` number, since 3 + 31 + 0 + 0 + 1 + 4 + 223 + 403 + 1 = 666.

It is not a de Polignac number, because 33100142234031 - 23 = 33100142234023 is a prime.

It is a super-2 number, since 2×331001422340312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33100142233986 and 33100142234004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33100142234431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30119200 + ... + 31198821.

It is an arithmetic number, because the mean of its divisors is an integer number (3064981329670).

Almost surely, 233100142234031 is an apocalyptic number.

33100142234031 is a deficient number, since it is larger than the sum of its proper divisors (15939559040689).

33100142234031 is a wasteful number, since it uses less digits than its factorization.

33100142234031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61338023 (or 61338017 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33100142234031 its reverse (13043224100133), we get a palindrome (46143366334164).

The spelling of 33100142234031 in words is "thirty-three trillion, one hundred billion, one hundred forty-two million, two hundred thirty-four thousand, thirty-one".

Divisors: 1 3 9 27 19993 59979 179937 539811 61318021 183954063 551862189 1655586567 1225931193853 3677793581559 11033380744677 33100142234031