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5105034120 = 2335317431847
BaseRepresentation
bin1001100000100100…
…01010001110001000
3111011210000121021210
410300102022032020
540423342042440
62202322333120
7240336034254
oct46022121610
914153017253
105105034120
11218a72776a
12ba57ba1a0
13634845864
14366003264
151ed2a2a80
hex13048a388

5105034120 has 128 divisors (see below), whose sum is σ = 15838986240. Its totient is φ = 1314942720.

The previous prime is 5105034101. The next prime is 5105034127. The reversal of 5105034120 is 214305015.

It is a super-2 number, since 2×51050341202 = 52122746732728348800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5105034127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2763037 + ... + 2764883.

It is an arithmetic number, because the mean of its divisors is an integer number (123742080).

Almost surely, 25105034120 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 5105034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919493120).

5105034120 is an abundant number, since it is smaller than the sum of its proper divisors (10733952120).

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

5105034120 is a wasteful number, since it uses less digits than its factorization.

5105034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5105034120 is about 71449.5214819526. The cubic root of 5105034120 is about 1721.8667896377.

Adding to 5105034120 its reverse (214305015), we get a palindrome (5319339135).

The spelling of 5105034120 in words is "five billion, one hundred five million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 743 744 930 1240 1486 1847 1860 2229 2972 3694 3715 3720 4458 5541 5944 7388 7430 8916 9235 11082 11145 14776 14860 17832 18470 22164 22290 23033 27705 29720 36940 44328 44580 46066 55410 57257 69099 73880 89160 92132 110820 114514 115165 138198 171771 184264 221640 229028 230330 276396 286285 343542 345495 458056 460660 552792 572570 687084 690990 858855 921320 1145140 1372321 1374168 1381980 1717710 2290280 2744642 2763960 3435420 4116963 5489284 6861605 6870840 8233926 10978568 13723210 16467852 20584815 27446420 32935704 41169630 42541951 54892840 82339260 85083902 127625853 164678520 170167804 212709755 255251706 340335608 425419510 510503412 638129265 850839020 1021006824 1276258530 1701678040 2552517060 5105034120