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41131133124 = 2234772927541
BaseRepresentation
bin100110010011100110…
…110100100011000100
310221011111111001102220
4212103212310203010
51133214032224444
630521222532340
72654160602004
oct462346644304
9127144431386
1041131133124
11164974a8104
127b7a8970b0
133b56513bc3
141dc28d2004
15110ae6c619
hex9939b48c4

41131133124 has 24 divisors (see below), whose sum is σ = 98014616448. Its totient is φ = 13418667360.

The previous prime is 41131133081. The next prime is 41131133137. The reversal of 41131133124 is 42133113114.

It is a happy number.

It is a super-4 number, since 4×411311331244 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41131133094 and 41131133103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36463207 + ... + 36464334.

It is an arithmetic number, because the mean of its divisors is an integer number (4083942352).

Almost surely, 241131133124 is an apocalyptic number.

It is an amenable number.

41131133124 is an abundant number, since it is smaller than the sum of its proper divisors (56883483324).

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

41131133124 is a wasteful number, since it uses less digits than its factorization.

41131133124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72927595 (or 72927593 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 41131133124 its reverse (42133113114), we get a palindrome (83264246238).

The spelling of 41131133124 in words is "forty-one billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 72927541 145855082 218782623 291710164 437565246 875130492 3427594427 6855188854 10282783281 13710377708 20565566562 41131133124