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2030322120 = 23357922711
BaseRepresentation
bin111100100000100…
…0100000111001000
312020111102001100120
41321001010013020
513124230301440
6533244503240
7101212311321
oct17101040710
95214361316
102030322120
11952078072
12487b4ab20
13264832b48
1415390d448
15bd3a1dd0
hex790441c8

2030322120 has 96 divisors (see below), whose sum is σ = 6171318720. Its totient is φ = 534368640.

The previous prime is 2030322113. The next prime is 2030322131. The reversal of 2030322120 is 212230302.

It is a super-2 number, since 2×20303221202 = 8244415821922588800, which contains 22 as substring.

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 2030322120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 747565 + ... + 750275.

It is an arithmetic number, because the mean of its divisors is an integer number (64284570).

Almost surely, 22030322120 is an apocalyptic number.

2030322120 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 2030322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085659360).

2030322120 is an abundant number, since it is smaller than the sum of its proper divisors (4140996600).

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

2030322120 is a wasteful number, since it uses less digits than its factorization.

2030322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2800 counting only the distinct ones).

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

The square root of 2030322120 is about 45059.0958630996. The cubic root of 2030322120 is about 1266.2563863590.

Adding to 2030322120 its reverse (212230302), we get a palindrome (2242552422).

The spelling of 2030322120 in words is "two billion, thirty million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 2711 3160 4740 5422 6241 8133 9480 10844 12482 13555 16266 18723 21688 24964 27110 31205 32532 37446 40665 49928 54220 62410 65064 74892 81330 93615 108440 124820 149784 162660 187230 214169 249640 325320 374460 428338 642507 748920 856676 1070845 1285014 1713352 2141690 2570028 3212535 4283380 5140056 6425070 8566760 12850140 16919351 25700280 33838702 50758053 67677404 84596755 101516106 135354808 169193510 203032212 253790265 338387020 406064424 507580530 676774040 1015161060 2030322120