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5212105000 = 235410110321
BaseRepresentation
bin1001101101010101…
…00110100100101000
3111110020111100220221
410312222212210220
541133244330000
62221105255424
7243106106254
oct46652464450
914406440827
105212105000
1122351086a3
121015634574
13650a938cb
14376315264
152078a261a
hex136aa6928

5212105000 has 80 divisors (see below), whose sum is σ = 12334067460. Its totient is φ = 2064000000.

The previous prime is 5212104973. The next prime is 5212105001. The reversal of 5212105000 is 5012125.

It can be written as a sum of positive squares in 10 ways, for example, as 8213956 + 5203891044 = 2866^2 + 72138^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5212105001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 499840 + ... + 510160.

Almost surely, 25212105000 is an apocalyptic number.

5212105000 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 5212105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167033730).

5212105000 is an abundant number, since it is smaller than the sum of its proper divisors (7121962460).

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

5212105000 is a wasteful number, since it uses less digits than its factorization.

5212105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10448 (or 10429 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 5212105000 is about 72194.9097928656. The cubic root of 5212105000 is about 1733.8215053331.

Adding to 5212105000 its reverse (5012125), we get a palindrome (5217117125).

The spelling of 5212105000 in words is "five billion, two hundred twelve million, one hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 625 808 1000 1010 1250 2020 2500 2525 4040 5000 5050 10100 10321 12625 20200 20642 25250 41284 50500 51605 63125 82568 101000 103210 126250 206420 252500 258025 412840 505000 516050 1032100 1042421 1290125 2064200 2084842 2580250 4169684 5160500 5212105 6450625 8339368 10321000 10424210 12901250 20848420 25802500 26060525 41696840 51605000 52121050 104242100 130302625 208484200 260605250 521210500 651513125 1042421000 1303026250 2606052500 5212105000