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2001193124 = 22728921289
BaseRepresentation
bin111011101000111…
…1100100010100100
312011110121010212212
41313101330202210
513044301134444
6530324302552
7100406601200
oct16721744244
95143533785
102001193124
11937692017
1247a241a58
1325b7a4458
1414dac9b00
15baa4b19e
hex7747c8a4

2001193124 has 54 divisors (see below), whose sum is σ = 4123341810. Its totient is φ = 847359744.

The previous prime is 2001193109. The next prime is 2001193157. The reversal of 2001193124 is 4213911002.

It can be written as a sum of positive squares in 3 ways, for example, as 103022500 + 1898170624 = 10150^2 + 43568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2001193124.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1551872 + ... + 1553160.

Almost surely, 22001193124 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 2001193124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061670905).

2001193124 is an abundant number, since it is smaller than the sum of its proper divisors (2122148686).

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

2001193124 is a wasteful number, since it uses less digits than its factorization.

2001193124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 2001193124 is about 44734.6970929725. The cubic root of 2001193124 is about 1260.1715404309.

The spelling of 2001193124 in words is "two billion, one million, one hundred ninety-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 356 623 1246 1289 2492 2578 4361 5156 7921 8722 9023 15842 17444 18046 31684 36092 55447 63161 110894 114721 126322 221788 229442 252644 388129 458884 776258 803047 1552516 1606094 3212188 5621329 10210169 11242658 20420338 22485316 40840676 71471183 142942366 285884732 500298281 1000596562 2001193124