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2120500500 = 223534992833
BaseRepresentation
bin111111001100100…
…0100010100010100
312110210002120211120
41332121010110110
513320322004000
6550225403540
7103355646126
oct17631042424
95423076746
102120500500
11998a70458
124b21995b0
1327a418031
141618a5216
15c62666a0
hex7e644514

2120500500 has 96 divisors (see below), whose sum is σ = 6189456000. Its totient is φ = 564134400.

The previous prime is 2120500469. The next prime is 2120500507. The reversal of 2120500500 is 50050212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2120500500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120500507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747084 + ... + 749916.

It is an arithmetic number, because the mean of its divisors is an integer number (64473500).

Almost surely, 22120500500 is an apocalyptic number.

2120500500 is a gapful number since it is divisible by the number (20) 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 2120500500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094728000).

2120500500 is an abundant number, since it is smaller than the sum of its proper divisors (4068955500).

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

2120500500 is a wasteful number, since it uses less digits than its factorization.

2120500500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2120500500 is about 46048.8924948255. The cubic root of 2120500500 is about 1284.7327438058.

Adding to 2120500500 its reverse (50050212), we get a palindrome (2170550712).

The spelling of 2120500500 in words is "two billion, one hundred twenty million, five hundred thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 499 500 750 998 1497 1500 1996 2495 2833 2994 4990 5666 5988 7485 8499 9980 11332 12475 14165 14970 16998 24950 28330 29940 33996 37425 42495 49900 56660 62375 70825 74850 84990 124750 141650 149700 169980 187125 212475 249500 283300 354125 374250 424950 708250 748500 849900 1062375 1413667 1416500 2124750 2827334 4241001 4249500 5654668 7068335 8482002 14136670 16964004 21205005 28273340 35341675 42410010 70683350 84820020 106025025 141366700 176708375 212050050 353416750 424100100 530125125 706833500 1060250250 2120500500