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2041131400 = 2352711132541
BaseRepresentation
bin111100110101001…
…0011000110001000
312021020202012220021
41321222103012020
513140012201100
6534312310224
7101403221260
oct17152230610
95236665807
102041131400
11958190260
1248b6a2374
13266b48b79
141551247a0
15be2d9a1a
hex79a93188

2041131400 has 96 divisors (see below), whose sum is σ = 5916674880. Its totient is φ = 636192000.

The previous prime is 2041131397. The next prime is 2041131509. The reversal of 2041131400 is 41311402.

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, 50871 + ... + 81670.

It is an arithmetic number, because the mean of its divisors is an integer number (61632030).

Almost surely, 22041131400 is an apocalyptic number.

2041131400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041131400 is an abundant number, since it is smaller than the sum of its proper divisors (3875543480).

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

2041131400 is a wasteful number, since it uses less digits than its factorization.

2041131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132575 (or 132566 counting only the distinct ones).

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

The square root of 2041131400 is about 45178.8822349557. The cubic root of 2041131400 is about 1268.4995610101.

Adding to 2041131400 its reverse (41311402), we get a palindrome (2082442802).

The spelling of 2041131400 in words is "two billion, forty-one million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 132541 265082 530164 662705 927787 1060328 1325410 1457951 1855574 2650820 2915902 3313525 3711148 4638935 5301640 5831804 6627050 7289755 7422296 9277870 10205657 11663608 13254100 14579510 18555740 20411314 23194675 26508200 29159020 36448775 37111480 40822628 46389350 51028285 58318040 72897550 81645256 92778700 102056570 145795100 185557400 204113140 255141425 291590200 408226280 510282850 1020565700 2041131400