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5351132100 = 2235264127827
BaseRepresentation
bin1001111101111001…
…11100101111000100
3111210221002200020210
410332330330233010
541424342211400
62242553155420
7246414605136
oct47674745704
914727080223
105351132100
1122a6635826
1210540bbb70
13673820172
1438a985056
15214bb5950
hex13ef3cbc4

5351132100 has 72 divisors (see below), whose sum is σ = 15507319968. Its totient is φ = 1424691200.

The previous prime is 5351132021. The next prime is 5351132107. The reversal of 5351132100 is 12311535.

It is a super-2 number, since 2×53511321002 = 57269229503300820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5351132107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178387 + ... + 206213.

It is an arithmetic number, because the mean of its divisors is an integer number (215379444).

Almost surely, 25351132100 is an apocalyptic number.

5351132100 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 5351132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7753659984).

5351132100 is an abundant number, since it is smaller than the sum of its proper divisors (10156187868).

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

5351132100 is a wasteful number, since it uses less digits than its factorization.

5351132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28485 (or 28478 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 5351132100 is about 73151.4326585611. The cubic root of 5351132100 is about 1749.1023532443.

Adding to 5351132100 its reverse (12311535), we get a palindrome (5363443635).

The spelling of 5351132100 in words is "five billion, three hundred fifty-one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 641 1282 1923 2564 3205 3846 6410 7692 9615 12820 16025 19230 27827 32050 38460 48075 55654 64100 83481 96150 111308 139135 166962 192300 278270 333924 417405 556540 695675 834810 1391350 1669620 2087025 2782700 4174050 8348100 17837107 35674214 53511321 71348428 89185535 107022642 178371070 214045284 267556605 356742140 445927675 535113210 891855350 1070226420 1337783025 1783710700 2675566050 5351132100