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2041031104 = 2673109853
BaseRepresentation
bin111100110100111…
…1010100111000000
312021020120010022121
41321221322213000
513140000443404
6534310214024
7101402323000
oct17151724700
95236503277
102041031104
11958121972
1248b654314
13266b12318
141550da000
15be2b9e54
hex79a7a9c0

2041031104 has 112 divisors (see below), whose sum is σ = 4772152000. Its totient is φ = 865686528.

The previous prime is 2041031089. The next prime is 2041031119. The reversal of 2041031104 is 4011301402.

It is an interprime number because it is at equal distance from previous prime (2041031089) and next prime (2041031119).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2392342 + ... + 2393194.

It is an arithmetic number, because the mean of its divisors is an integer number (42608500).

Almost surely, 22041031104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386076000).

2041031104 is an abundant number, since it is smaller than the sum of its proper divisors (2731120896).

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

2041031104 is an equidigital number, since it uses as much as digits as its factorization.

2041031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2041031104 is about 45177.7722336992. The cubic root of 2041031104 is about 1268.4787837236.

Adding to 2041031104 its reverse (4011301402), we get a palindrome (6052332506).

The spelling of 2041031104 in words is "two billion, forty-one million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 109 112 196 218 224 343 392 436 448 686 763 784 853 872 1372 1526 1568 1706 1744 2744 3052 3136 3412 3488 5341 5488 5971 6104 6824 6976 10682 10976 11942 12208 13648 21364 21952 23884 24416 27296 37387 41797 42728 47768 48832 54592 74774 83594 85456 92977 95536 149548 167188 170912 185954 191072 292579 299096 334376 341824 371908 382144 585158 598192 650839 668752 743816 1170316 1196384 1301678 1337504 1487632 2340632 2392768 2603356 2675008 2975264 4555873 4681264 5206712 5950528 9111746 9362528 10413424 18223492 18725056 20826848 31891111 36446984 41653696 63782222 72893968 127564444 145787936 255128888 291575872 510257776 1020515552 2041031104