Search a number
-
+
5051211430120 = 2355328310917717
BaseRepresentation
bin100100110000001001110…
…1010011011100011101000
3122212220001121110022202021
41021200103222123203220
51130224340111230440
614424254451114224
71030636504510132
oct111402352334350
918786047408667
105051211430120
111678230192a29
12696b605a2974
132a8433acac3b
141366a0d40052
158b5d860d84a
hex49813a9b8e8

5051211430120 has 128 divisors (see below), whose sum is σ = 11632740013440. Its totient is φ = 1973291074560.

The previous prime is 5051211430087. The next prime is 5051211430121. The reversal of 5051211430120 is 210341121505.

It is a super-3 number, since 3×50512114301203 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5051211430121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654552502 + ... + 654560218.

It is an arithmetic number, because the mean of its divisors is an integer number (90880781355).

Almost surely, 25051211430120 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 5051211430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816370006720).

5051211430120 is an abundant number, since it is smaller than the sum of its proper divisors (6581528583320).

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

5051211430120 is a wasteful number, since it uses less digits than its factorization.

5051211430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9155 (or 9151 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 5051211430120 its reverse (210341121505), we get a palindrome (5261552551625).

The spelling of 5051211430120 in words is "five trillion, fifty-one billion, two hundred eleven million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 283 424 530 566 1060 1091 1132 1415 2120 2182 2264 2830 4364 5455 5660 7717 8728 10910 11320 14999 15434 21820 29998 30868 38585 43640 57823 59996 61736 74995 77170 115646 119992 149990 154340 231292 289115 299980 308680 308753 409001 462584 578230 599960 617506 818002 1156460 1235012 1543765 1636004 2045005 2183911 2312920 2470024 3087530 3272008 4090010 4367822 6175060 8180020 8419247 8735644 10919555 12350120 16360040 16363909 16838494 17471288 21839110 32727818 33676988 42096235 43678220 65455636 67353976 81819545 84192470 87356440 115747283 130911272 163639090 168384940 231494566 327278180 336769880 446220091 462989132 578736415 654556360 892440182 925978264 1157472830 1784880364 2231100455 2314945660 2382646901 3569760728 4462200910 4629891320 4765293802 8924401820 9530587604 11913234505 17848803640 19061175208 23826469010 47652938020 95305876040 126280285753 252560571506 505121143012 631401428765 1010242286024 1262802857530 2525605715060 5051211430120