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5111530020 = 22325373891973
BaseRepresentation
bin1001100001010101…
…11100001000100100
3111012020020121222200
410300222330020210
540432022430040
62203113454500
7240445200612
oct46052741044
914166217880
105111530020
112193364183
12ba7a11430
13635cab49c
14366c146b2
151edb37630
hex130abc224

5111530020 has 144 divisors (see below), whose sum is σ = 15973055280. Its totient is φ = 1322155008.

The previous prime is 5111529989. The next prime is 5111530033. The reversal of 5111530020 is 200351115.

5111530020 is a `hidden beast` number, since 5 + 111 + 530 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 91240704 + 5020289316 = 9552^2 + 70854^2 .

It is a super-2 number, since 2×51115300202 = 52255478290722400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5111529975 and 5111530002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2589754 + ... + 2591726.

It is an arithmetic number, because the mean of its divisors is an integer number (110923995).

Almost surely, 25111530020 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 5111530020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986527640).

5111530020 is an abundant number, since it is smaller than the sum of its proper divisors (10861525260).

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

5111530020 is a wasteful number, since it uses less digits than its factorization.

5111530020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 5111530020 is about 71494.9649975437. The cubic root of 5111530020 is about 1722.5968098111.

Adding to 5111530020 its reverse (200351115), we get a palindrome (5311881135).

The spelling of 5111530020 in words is "five billion, one hundred eleven million, five hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 389 444 555 666 740 778 1110 1167 1332 1556 1665 1945 1973 2220 2334 3330 3501 3890 3946 4668 5835 5919 6660 7002 7780 7892 9865 11670 11838 14004 14393 17505 17757 19730 23340 23676 28786 29595 35010 35514 39460 43179 57572 59190 70020 71028 71965 73001 86358 88785 118380 129537 143930 146002 172716 177570 215895 219003 259074 287860 292004 355140 365005 431790 438006 518148 647685 657009 730010 767497 863580 876012 1095015 1295370 1314018 1460020 1534994 2190030 2302491 2590740 2628036 3069988 3285045 3837485 4380060 4604982 6570090 6907473 7674970 9209964 11512455 13140180 13814946 15349940 23024910 27629892 28397389 34537365 46049820 56794778 69074730 85192167 113589556 138149460 141986945 170384334 255576501 283973890 340768668 425960835 511153002 567947780 851921670 1022306004 1277882505 1703843340 2555765010 5111530020