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4122530500 = 225311268141
BaseRepresentation
bin1111010110111000…
…1101001011000100
3101122022021020200211
43311232031023010
531420331434000
61521024045204
7204105634234
oct36556151304
911568236624
104122530500
111826074200
12970763804
1350912337a
142b172bcc4
15191dca7ba
hexf5b8d2c4

4122530500 has 72 divisors (see below), whose sum is σ = 9896671512. Its totient is φ = 1499080000.

The previous prime is 4122530483. The next prime is 4122530509. The reversal of 4122530500 is 50352214.

It can be written as a sum of positive squares in 4 ways, for example, as 1222061764 + 2900468736 = 34958^2 + 53856^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4122530509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26430 + ... + 94570.

It is an arithmetic number, because the mean of its divisors is an integer number (137453771).

Almost surely, 24122530500 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 4122530500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948335756).

4122530500 is an abundant number, since it is smaller than the sum of its proper divisors (5774141012).

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

4122530500 is a wasteful number, since it uses less digits than its factorization.

4122530500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68182 (or 68159 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 4122530500 is about 64206.9349836916. The cubic root of 4122530500 is about 1603.4470604632.

Adding to 4122530500 its reverse (50352214), we get a palindrome (4172882714).

The spelling of 4122530500 in words is "four billion, one hundred twenty-two million, five hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 220 242 250 275 484 500 550 605 1100 1210 1375 2420 2750 3025 5500 6050 12100 15125 30250 60500 68141 136282 272564 340705 681410 749551 1362820 1499102 1703525 2998204 3407050 3747755 6814100 7495510 8245061 8517625 14991020 16490122 17035250 18738775 32980244 34070500 37477550 41225305 74955100 82450610 93693875 164901220 187387750 206126525 374775500 412253050 824506100 1030632625 2061265250 4122530500