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41131133106 = 2371757606629
BaseRepresentation
bin100110010011100110…
…110100100010110010
310221011111111001102020
4212103212310202302
51133214032224411
630521222532310
72654160601650
oct462346644262
9127144431366
1041131133106
11164974a8098
127b7a897096
133b56513bab
141dc28d1dd0
15110ae6c606
hex9939b48b2

41131133106 has 32 divisors (see below), whose sum is σ = 99544256640. Its totient is φ = 11060472576.

The previous prime is 41131133081. The next prime is 41131133137. The reversal of 41131133106 is 60133113114.

It is a super-2 number, since 2×411311331062 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28802601 + ... + 28804028.

It is an arithmetic number, because the mean of its divisors is an integer number (3110758020).

Almost surely, 241131133106 is an apocalyptic number.

41131133106 is an abundant number, since it is smaller than the sum of its proper divisors (58413123534).

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

41131133106 is a wasteful number, since it uses less digits than its factorization.

41131133106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57606658.

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 41131133106 in words is "forty-one billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 57606629 115213258 172819887 345639774 403246403 806492806 979312693 1209739209 1958625386 2419478418 2937938079 5875876158 6855188851 13710377702 20565566553 41131133106