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5123033340 = 2235233123863
BaseRepresentation
bin1001100010101101…
…10100100011111100
3111020000220001120120
410301112310203330
540442444031330
62204204214540
7240645031155
oct46126644374
914200801516
105123033340
112199900857
12bab83a450
136384a8399
1436856a92c
151eeb5ac10
hex1315b48fc

5123033340 has 144 divisors (see below), whose sum is σ = 15470590464. Its totient is φ = 1264264320.

The previous prime is 5123033339. The next prime is 5123033341. The reversal of 5123033340 is 433303215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5123033339) and next prime (5123033341).

It is a self number, because there is not a number n which added to its sum of digits gives 5123033340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5123033341) 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 47 ways as a sum of consecutive naturals, for example, 1324249 + ... + 1328111.

It is an arithmetic number, because the mean of its divisors is an integer number (107434656).

Almost surely, 25123033340 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 5123033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735295232).

5123033340 is an abundant number, since it is smaller than the sum of its proper divisors (10347557124).

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

5123033340 is a wasteful number, since it uses less digits than its factorization.

5123033340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 5123033340 is about 71575.3682491400. The cubic root of 5123033340 is about 1723.8880563364. Note that the first 3 decimals are identical.

Adding to 5123033340 its reverse (433303215), we get a palindrome (5556336555).

The spelling of 5123033340 in words is "five billion, one hundred twenty-three million, thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 620 690 713 930 961 1380 1426 1860 1922 2139 2852 2883 3565 3844 3863 4278 4805 5766 7130 7726 8556 9610 10695 11532 11589 14260 14415 15452 19220 19315 21390 22103 23178 28830 38630 42780 44206 46356 57660 57945 66309 77260 88412 88849 110515 115890 119753 132618 177698 221030 231780 239506 265236 266547 331545 355396 359259 442060 444245 479012 533094 598765 663090 718518 888490 1066188 1197530 1326180 1332735 1437036 1776980 1796295 2395060 2665470 2754319 3592590 3712343 5330940 5508638 7185180 7424686 8262957 11017276 11137029 13771595 14849372 16525914 18561715 22274058 27543190 33051828 37123430 41314785 44548116 55086380 55685145 74246860 82629570 85383889 111370290 165259140 170767778 222740580 256151667 341535556 426919445 512303334 853838890 1024606668 1280758335 1707677780 2561516670 5123033340