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2131619100 = 2235213546569
BaseRepresentation
bin111111100001101…
…1110110100011100
312111120000110200120
41333003132310130
513331143302400
6551303554540
7103552314642
oct17703366434
95446013616
102131619100
119a4274a86
124b5a5ba50
1327c80baa0
1416315b192
15c7210ca0
hex7f0ded1c

2131619100 has 72 divisors (see below), whose sum is σ = 6641918640. Its totient is φ = 524705280.

The previous prime is 2131619089. The next prime is 2131619107. The reversal of 2131619100 is 19161312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131619107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 269385 + ... + 277184.

It is an arithmetic number, because the mean of its divisors is an integer number (92248870).

Almost surely, 22131619100 is an apocalyptic number.

2131619100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131619100 is an abundant number, since it is smaller than the sum of its proper divisors (4510299540).

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

2131619100 is a wasteful number, since it uses less digits than its factorization.

2131619100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546599 (or 546592 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 2131619100 is about 46169.4606856091. The cubic root of 2131619100 is about 1286.9742799754.

The spelling of 2131619100 in words is "two billion, one hundred thirty-one million, six hundred nineteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 546569 1093138 1639707 2186276 2732845 3279414 5465690 6558828 7105397 8198535 10931380 13664225 14210794 16397070 21316191 27328450 28421588 32794140 35526985 40992675 42632382 54656900 71053970 81985350 85264764 106580955 142107940 163970700 177634925 213161910 355269850 426323820 532904775 710539700 1065809550 2131619100