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41132113000 = 23531111333091
BaseRepresentation
bin100110010011101010…
…100011110001101000
310221011120022211120121
4212103222203301220
51133214310104000
630521255533024
72654202122536
oct462352436150
9127146284517
1041132113000
1116498007320
127b7b08a174
133b56797c04
141dc2aa9156
15110b0b2b1a
hex993aa3c68

41132113000 has 128 divisors (see below), whose sum is σ = 105931463040. Its totient is φ = 14824320000.

The previous prime is 41132112971. The next prime is 41132113013. The reversal of 41132113000 is 31123114.

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 31 ways as a sum of consecutive naturals, for example, 1226455 + ... + 1259545.

It is an arithmetic number, because the mean of its divisors is an integer number (827589555).

Almost surely, 241132113000 is an apocalyptic number.

41132113000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41132113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52965731520).

41132113000 is an abundant number, since it is smaller than the sum of its proper divisors (64799350040).

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

41132113000 is a wasteful number, since it uses less digits than its factorization.

41132113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33236 (or 33222 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 41132113000 its reverse (31123114), we get a palindrome (41163236114).

The spelling of 41132113000 in words is "forty-one billion, one hundred thirty-two million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 113 125 200 220 226 250 275 440 452 500 550 565 904 1000 1100 1130 1243 1375 2200 2260 2486 2750 2825 4520 4972 5500 5650 6215 9944 11000 11300 12430 14125 22600 24860 28250 31075 33091 49720 56500 62150 66182 113000 124300 132364 155375 165455 248600 264728 310750 330910 364001 621500 661820 728002 827275 1243000 1323640 1456004 1654550 1820005 2912008 3309100 3640010 3739283 4136375 6618200 7280020 7478566 8272750 9100025 14560040 14957132 16545500 18200050 18696415 29914264 33091000 36400100 37392830 41132113 45500125 72800200 74785660 82264226 91000250 93482075 149571320 164528452 182000500 186964150 205660565 329056904 364001000 373928300 411321130 467410375 747856600 822642260 934820750 1028302825 1645284520 1869641500 2056605650 3739283000 4113211300 5141514125 8226422600 10283028250 20566056500 41132113000