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5122823130 = 2345191272621
BaseRepresentation
bin1001100010101100…
…00001001111011010
3111020000111101020000
410301112001033122
540442420320010
62204155513430
7240643164255
oct46126011732
914200441200
105122823130
112199777927
12bab758876
136384337b9
1436851409c
151eeb187c0
hex1315813da

5122823130 has 160 divisors (see below), whose sum is σ = 14619432960. Its totient is φ = 1283506560.

The previous prime is 5122823099. The next prime is 5122823137. The reversal of 5122823130 is 313282215.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5122823094 and 5122823103.

It is not an unprimeable number, because it can be changed into a prime (5122823137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1953220 + ... + 1955840.

It is an arithmetic number, because the mean of its divisors is an integer number (91371456).

Almost surely, 25122823130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5122823130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7309716480).

5122823130 is an abundant number, since it is smaller than the sum of its proper divisors (9496609830).

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

5122823130 is a wasteful number, since it uses less digits than its factorization.

5122823130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5122823130 is about 71573.8997819736. The cubic root of 5122823130 is about 1723.8644776321.

The spelling of 5122823130 in words is "five billion, one hundred twenty-two million, eight hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 127 135 162 171 190 254 270 285 342 381 405 513 570 635 762 810 855 1026 1143 1270 1539 1710 1905 2286 2413 2565 2621 3078 3429 3810 4826 5130 5242 5715 6858 7239 7695 7863 10287 11430 12065 13105 14478 15390 15726 17145 20574 21717 23589 24130 26210 34290 36195 39315 43434 47178 49799 51435 65151 70767 72390 78630 99598 102870 108585 117945 130302 141534 149397 195453 212301 217170 235890 248995 298794 325755 332867 353835 390906 424602 448191 497990 651510 665734 707670 746985 896382 977265 998601 1061505 1344573 1493970 1664335 1954530 1997202 2123010 2240955 2689146 2995803 3328670 4033719 4481910 4993005 5991606 6324473 6722865 8067438 8987409 9986010 12648946 13445730 14979015 17974818 18973419 20168595 26962227 29958030 31622365 37946838 40337190 44937045 53924454 56920257 63244730 89874090 94867095 113840514 134811135 170760771 189734190 269622270 284601285 341521542 512282313 569202570 853803855 1024564626 1707607710 2561411565 5122823130