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2000111232 = 27377310193
BaseRepresentation
bin111011100110111…
…0100011010000000
312011101120011210210
41313031310122000
513044012024412
6530245154120
7100364444040
oct16715643200
95141504723
102000111232
11937013199
124799bb940
1325b4b5b92
1414d8c7720
15ba8d583c
hex77374680

2000111232 has 128 divisors (see below), whose sum is σ = 6155544960. Its totient is φ = 563576832.

The previous prime is 2000111221. The next prime is 2000111233. The reversal of 2000111232 is 2321110002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2000111233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191128 + ... + 201320.

It is an arithmetic number, because the mean of its divisors is an integer number (48090195).

Almost surely, 22000111232 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 2000111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077772480).

2000111232 is an abundant number, since it is smaller than the sum of its proper divisors (4155433728).

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

2000111232 is a wasteful number, since it uses less digits than its factorization.

2000111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10290 (or 10278 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2000111232 is about 44722.6031442715. The cubic root of 2000111232 is about 1259.9444067182.

Adding to 2000111232 its reverse (2321110002), we get a palindrome (4321221234).

The spelling of 2000111232 in words is "two billion, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 192 219 224 292 336 384 438 448 511 584 672 876 896 1022 1168 1344 1533 1752 2044 2336 2688 3066 3504 4088 4672 6132 7008 8176 9344 10193 12264 14016 16352 20386 24528 28032 30579 32704 40772 49056 61158 65408 71351 81544 98112 122316 142702 163088 196224 214053 244632 285404 326176 428106 489264 570808 652352 744089 856212 978528 1141616 1304704 1488178 1712424 1957056 2232267 2283232 2976356 3424848 3914112 4464534 4566464 5208623 5952712 6849696 8929068 9132928 10417246 11905424 13699392 15625869 17858136 20834492 23810848 27398784 31251738 35716272 41668984 47621696 62503476 71432544 83337968 95243392 125006952 142865088 166675936 250013904 285730176 333351872 500027808 666703744 1000055616 2000111232