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2120303220 = 2235713936319
BaseRepresentation
bin111111001100001…
…0100001001110100
312110202201120012220
41332120110021310
513320244200340
6550221242340
7103354165020
oct17630241164
95422646186
102120303220
11998946212
124b21033b0
1327a3792b9
14161853380
15c6227ed0
hex7e614274

2120303220 has 96 divisors (see below), whose sum is σ = 6833971200. Its totient is φ = 481140864.

The previous prime is 2120303219. The next prime is 2120303221. The reversal of 2120303220 is 223030212.

It is an interprime number because it is at equal distance from previous prime (2120303219) and next prime (2120303221).

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 2120303220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120303221) 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, 40221 + ... + 76539.

It is an arithmetic number, because the mean of its divisors is an integer number (71187200).

Almost surely, 22120303220 is an apocalyptic number.

2120303220 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 2120303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416985600).

2120303220 is an abundant number, since it is smaller than the sum of its proper divisors (4713667980).

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

2120303220 is a wasteful number, since it uses less digits than its factorization.

2120303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36477 (or 36475 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2120303220 is about 46046.7503739406. The cubic root of 2120303220 is about 1284.6929010209.

Adding to 2120303220 its reverse (223030212), we get a palindrome (2343333432).

The spelling of 2120303220 in words is "two billion, one hundred twenty million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 139 140 210 278 417 420 556 695 834 973 1390 1668 1946 2085 2780 2919 3892 4170 4865 5838 8340 9730 11676 14595 19460 29190 36319 58380 72638 108957 145276 181595 217914 254233 363190 435828 508466 544785 726380 762699 1016932 1089570 1271165 1525398 2179140 2542330 3050796 3813495 5048341 5084660 7626990 10096682 15145023 15253980 20193364 25241705 30290046 35338387 50483410 60580092 70676774 75725115 100966820 106015161 141353548 151450230 176691935 212030322 302900460 353383870 424060644 530075805 706767740 1060151610 2120303220