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2043014100 = 22352172317417
BaseRepresentation
bin111100111000101…
…1110101111010100
312021101021212110220
41321301132233110
513141002422400
6534420514340
7101425222221
oct17161365724
95241255426
102043014100
11959256806
1249024b9b0
13267357aaa
14155494948
15be55c7a0
hex79c5ebd4

2043014100 has 144 divisors (see below), whose sum is σ = 6531331968. Its totient is φ = 490434560.

The previous prime is 2043014087. The next prime is 2043014107. The reversal of 2043014100 is 14103402.

It is a super-2 number, since 2×20430141002 = 8347813225597620000, 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 2043014100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2043014107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108592 + ... + 126008.

It is an arithmetic number, because the mean of its divisors is an integer number (45356472).

Almost surely, 22043014100 is an apocalyptic number.

2043014100 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 2043014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265665984).

2043014100 is an abundant number, since it is smaller than the sum of its proper divisors (4488317868).

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

2043014100 is a wasteful number, since it uses less digits than its factorization.

2043014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17474 (or 17467 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2043014100 is about 45199.7134946672. The cubic root of 2043014100 is about 1268.8894542856.

Adding to 2043014100 its reverse (14103402), we get a palindrome (2057117502).

The spelling of 2043014100 in words is "two billion, forty-three million, fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 25 30 34 46 50 51 60 68 69 75 85 92 100 102 115 138 150 170 204 230 255 276 300 340 345 391 425 460 510 575 690 782 850 1020 1150 1173 1275 1380 1564 1700 1725 1955 2300 2346 2550 3450 3910 4692 5100 5865 6900 7820 9775 11730 17417 19550 23460 29325 34834 39100 52251 58650 69668 87085 104502 117300 174170 209004 261255 296089 348340 400591 435425 522510 592178 801182 870850 888267 1045020 1184356 1201773 1306275 1480445 1602364 1741700 1776534 2002955 2403546 2612550 2960890 3553068 4005910 4441335 4807092 5225100 5921780 6008865 6810047 7402225 8011820 8882670 10014775 12017730 13620094 14804450 17765340 20029550 20430141 22206675 24035460 27240188 29608900 30044325 34050235 40059100 40860282 44413350 60088650 68100470 81720564 88826700 102150705 120177300 136200940 170251175 204301410 340502350 408602820 510753525 681004700 1021507050 2043014100