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2303201004 = 22313171914547
BaseRepresentation
bin1000100101001000…
…0000111011101100
312221111212201210220
42021102000323230
514204104413004
61020313331340
7111034612506
oct21122007354
95844781726
102303201004
11a82108005
12543406b50
132a9226140
1417bc62d76
15d7304dd9
hex89480eec

2303201004 has 96 divisors (see below), whose sum is σ = 6161412096. Its totient is φ = 663352320.

The previous prime is 2303201003. The next prime is 2303201011. The reversal of 2303201004 is 4001023032.

It is not an unprimeable number, because it can be changed into a prime (2303201003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504259 + ... + 508805.

It is an arithmetic number, because the mean of its divisors is an integer number (64181376).

Almost surely, 22303201004 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 2303201004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080706048).

2303201004 is an abundant number, since it is smaller than the sum of its proper divisors (3858211092).

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

2303201004 is a wasteful number, since it uses less digits than its factorization.

2303201004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2303201004 is about 47991.6764033098. The cubic root of 2303201004 is about 1320.6182067517.

Adding to 2303201004 its reverse (4001023032), we get a palindrome (6304224036).

The spelling of 2303201004 in words is "two billion, three hundred three million, two hundred one thousand, four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 191 204 221 382 442 573 663 764 884 1146 1326 2292 2483 2652 3247 4547 4966 6494 7449 9094 9741 9932 12988 13641 14898 18188 19482 27282 29796 38964 42211 54564 59111 77299 84422 118222 126633 154598 168844 177333 231897 236444 253266 309196 354666 463794 506532 709332 868477 927588 1004887 1736954 2009774 2605431 3014661 3473908 4019548 5210862 6029322 10421724 11290201 12058644 14764109 22580402 29528218 33870603 44292327 45160804 59056436 67741206 88584654 135482412 177169308 191933417 383866834 575800251 767733668 1151600502 2303201004