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4100313012 = 2231919990371
BaseRepresentation
bin1111010001100101…
…1100111110110100
3101120202110111000220
43310121130332310
531344140004022
61514511534340
7203416041225
oct36431347664
911522414026
104100313012
111814579944
1296522a3b0
13504644823
142ac7c724c
1518ee8c85c
hexf465cfb4

4100313012 has 48 divisors (see below), whose sum is σ = 10121664000. Its totient is φ = 1288314720.

The previous prime is 4100312999. The next prime is 4100313023. The reversal of 4100313012 is 2103130014.

It is a junction number, because it is equal to n+sod(n) for n = 4100312982 and 4100313000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187 + ... + 90557.

It is an arithmetic number, because the mean of its divisors is an integer number (210868000).

Almost surely, 24100313012 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 4100313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060832000).

4100313012 is an abundant number, since it is smaller than the sum of its proper divisors (6021350988).

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

4100313012 is a wasteful number, since it uses less digits than its factorization.

4100313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90596 (or 90594 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4100313012 is about 64033.6865407576. The cubic root of 4100313012 is about 1600.5613931047.

Adding to 4100313012 its reverse (2103130014), we get a palindrome (6203443026).

The spelling of 4100313012 in words is "four billion, one hundred million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 199 228 398 597 796 1194 2388 3781 7562 11343 15124 22686 45372 90371 180742 271113 361484 542226 1084452 1717049 3434098 5151147 6868196 10302294 17983829 20604588 35967658 53951487 71935316 107902974 215805948 341692751 683385502 1025078253 1366771004 2050156506 4100313012