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3130801362 = 2331317436101
BaseRepresentation
bin1011101010011100…
…0011110011010010
322002012011012002000
42322213003303102
522402441120422
61234355534430
7140404241523
oct27247036322
98065135060
103130801362
11136728a447
127345ba416
133ab8209b0
14219b3484a
15134ccecac
hexba9c3cd2

3130801362 has 128 divisors (see below), whose sum is σ = 8119077120. Its totient is φ = 885427200.

The previous prime is 3130801291. The next prime is 3130801367. The reversal of 3130801362 is 2631080313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3130801367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510112 + ... + 516212.

It is an arithmetic number, because the mean of its divisors is an integer number (63430290).

Almost surely, 23130801362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130801362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059538560).

3130801362 is an abundant number, since it is smaller than the sum of its proper divisors (4988275758).

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

3130801362 is a wasteful number, since it uses less digits than its factorization.

3130801362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3130801362 is about 55953.5643368678. The cubic root of 3130801362 is about 1462.9130183930.

Adding to 3130801362 its reverse (2631080313), we get a palindrome (5761881675).

The spelling of 3130801362 in words is "three billion, one hundred thirty million, eight hundred one thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 43 51 54 78 86 102 117 129 153 221 234 258 306 351 387 442 459 559 663 702 731 774 918 1118 1161 1326 1462 1677 1989 2193 2322 3354 3978 4386 5031 5967 6101 6579 9503 10062 11934 12202 13158 15093 18303 19006 19737 28509 30186 36606 39474 54909 57018 79313 85527 103717 109818 158626 164727 171054 207434 237939 256581 262343 311151 329454 475878 513162 524686 622302 713817 787029 933453 1348321 1427634 1574058 1866906 2141451 2361087 2696642 2800359 3410459 4044963 4282902 4459831 4722174 5600718 6820918 7083261 8089926 8919662 10231377 12134889 13379493 14166522 20462754 24269778 26758986 30694131 36404667 40138479 57977803 61388262 72809334 80276958 92082393 115955606 120415437 173933409 184164786 240830874 347866818 521800227 1043600454 1565400681 3130801362