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41131311100 = 225211349110711
BaseRepresentation
bin100110010011100111…
…011111111111111100
310221011111211002120121
4212103213133333330
51133214103423400
630521230424324
72654162242615
oct462347377774
9127144732517
1041131311100
11164976098a0
127b7a9620a4
133b56576c09
141dc293ac0c
15110aea521a
hex9939dfffc

41131311100 has 72 divisors (see below), whose sum is σ = 97406015616. Its totient is φ = 14951160000.

The previous prime is 41131311083. The next prime is 41131311163. The reversal of 41131311100 is 111313114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3834745 + ... + 3845455.

It is an arithmetic number, because the mean of its divisors is an integer number (1352861328).

Almost surely, 241131311100 is an apocalyptic number.

It is an amenable number.

41131311100 is an abundant number, since it is smaller than the sum of its proper divisors (56274704516).

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

41131311100 is a wasteful number, since it uses less digits than its factorization.

41131311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14227 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 41131311100 its reverse (111313114), we get a palindrome (41242624214).

The spelling of 41131311100 in words is "forty-one billion, one hundred thirty-one million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 3491 6982 10711 13964 17455 21422 34910 38401 42844 53555 69820 76802 87275 107110 117821 153604 174550 192005 214220 235642 267775 349100 384010 471284 535550 589105 768020 960025 1071100 1178210 1920050 2356420 2945525 3840100 5891050 11782100 37392101 74784202 149568404 186960505 373921010 411313111 747842020 822626222 934802525 1645252444 1869605050 2056565555 3739210100 4113131110 8226262220 10282827775 20565655550 41131311100