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2321134002 = 2331116723399
BaseRepresentation
bin1000101001011001…
…1011000110110010
312222202121211021000
42022112123012302
514223202242002
61022153542430
7111343212345
oct21226330662
95882554230
102321134002
11a91246370
12549414a16
132acb64795
141803b045c
15d8b9861c
hex8a59b1b2

2321134002 has 64 divisors (see below), whose sum is σ = 5660928000. Its totient is φ = 699132240.

The previous prime is 2321133977. The next prime is 2321134003. The reversal of 2321134002 is 2004311232.

2321134002 is a `hidden beast` number, since 2 + 321 + 1 + 340 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2321134003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87499 + ... + 110897.

It is an arithmetic number, because the mean of its divisors is an integer number (88452000).

Almost surely, 22321134002 is an apocalyptic number.

2321134002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321134002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464000).

2321134002 is an abundant number, since it is smaller than the sum of its proper divisors (3339793998).

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

2321134002 is a wasteful number, since it uses less digits than its factorization.

2321134002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23588 (or 23582 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2321134002 is about 48178.1485945652. The cubic root of 2321134002 is about 1324.0368464081.

Adding to 2321134002 its reverse (2004311232), we get a palindrome (4325445234).

The spelling of 2321134002 in words is "two billion, three hundred twenty-one million, one hundred thirty-four thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 167 198 297 334 501 594 1002 1503 1837 3006 3674 4509 5511 9018 11022 16533 23399 33066 46798 49599 70197 99198 140394 210591 257389 421182 514778 631773 772167 1263546 1544334 2316501 3907633 4633002 6949503 7815266 11722899 13899006 23445798 35168697 42983963 70337394 85967926 105506091 128951889 211012182 257903778 386855667 773711334 1160567001 2321134002