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41132210031 = 32111109374641
BaseRepresentation
bin100110010011101010…
…111011011101101111
310221011120111202200100
4212103222323131233
51133214321210111
630521302002143
72654203005453
oct462352733557
9127146452610
1041132210031
1116498073210
127b7b116353
133b56800123
141dc2ad2663
15110b0d1756
hex993abb76f

41132210031 has 24 divisors (see below), whose sum is σ = 64873008720. Its totient is φ = 24906067200.

The previous prime is 41132210023. The next prime is 41132210069. The reversal of 41132210031 is 13001223114.

41132210031 is a `hidden beast` number, since 411 + 3 + 221 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 41132210031 - 23 = 41132210023 is a prime.

It is a super-2 number, since 2×411322100312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41132209986 and 41132210013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41132210131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 77530 + ... + 297111.

It is an arithmetic number, because the mean of its divisors is an integer number (2703042030).

Almost surely, 241132210031 is an apocalyptic number.

41132210031 is a deficient number, since it is larger than the sum of its proper divisors (23740798689).

41132210031 is a wasteful number, since it uses less digits than its factorization.

41132210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375767 (or 375764 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 41132210031 its reverse (13001223114), we get a palindrome (54133433145).

It can be divided in two parts, 4113 and 2210031, that added together give a square (2214144 = 14882).

The spelling of 41132210031 in words is "forty-one billion, one hundred thirty-two million, two hundred ten thousand, thirty-one".

Divisors: 1 3 9 11 33 99 1109 3327 9981 12199 36597 109791 374641 1123923 3371769 4121051 12363153 37089459 415476869 1246430607 3739291821 4570245559 13710736677 41132210031