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5115421300 = 22521119311787
BaseRepresentation
bin1001100001110011…
…10010001001110100
3111012111120022211011
410300321302021310
540434021440200
62203333122004
7240523235503
oct46071621164
914174508734
105115421300
112195581810
12ba9189304
13636a41712
1436754883a
151ee1555ba
hex130e72274

5115421300 has 144 divisors (see below), whose sum is σ = 12804180480. Its totient is φ = 1754352000.

The previous prime is 5115421279. The next prime is 5115421301. The reversal of 5115421300 is 31245115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5115421301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6499507 + ... + 6500293.

It is an arithmetic number, because the mean of its divisors is an integer number (88917920).

Almost surely, 25115421300 is an apocalyptic number.

5115421300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5115421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402090240).

5115421300 is an abundant number, since it is smaller than the sum of its proper divisors (7688759180).

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

5115421300 is a wasteful number, since it uses less digits than its factorization.

5115421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 5115421300 is about 71522.1734848711. The cubic root of 5115421300 is about 1723.0338222280.

Adding to 5115421300 its reverse (31245115), we get a palindrome (5146666415).

The spelling of 5115421300 in words is "five billion, one hundred fifteen million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 311 380 418 475 550 622 787 836 950 1045 1100 1244 1555 1574 1900 2090 3110 3148 3421 3935 4180 5225 5909 6220 6842 7775 7870 8657 10450 11818 13684 14953 15550 15740 17105 17314 19675 20900 23636 29545 29906 31100 34210 34628 39350 43285 59090 59812 64999 68420 74765 78700 85525 86570 118180 129998 147725 149530 164483 171050 173140 216425 244757 259996 295450 299060 324995 328966 342100 373825 432850 489514 590900 649990 657932 747650 822415 865700 979028 1223785 1299980 1495300 1624975 1644830 2447570 2692327 3249950 3289660 4112075 4650383 4895140 5384654 6118925 6499900 8224150 9300766 10769308 12237850 13461635 16448300 18601532 23251915 24475700 26923270 46503830 51154213 53846540 67308175 93007660 102308426 116259575 134616350 204616852 232519150 255771065 269232700 465038300 511542130 1023084260 1278855325 2557710650 5115421300