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2045001300 = 2235223296377
BaseRepresentation
bin111100111100100…
…0011111001010100
312021112000211101220
41321321003321110
513142010020200
6534531250340
7101451136626
oct17171037124
95245024356
102045001300
1195a393821
12490a499b0
132678a2454
14155850c16
15be8014a0
hex79e43e54

2045001300 has 72 divisors (see below), whose sum is σ = 6174146496. Its totient is φ = 521621760.

The previous prime is 2045001289. The next prime is 2045001311. The reversal of 2045001300 is 31005402.

It is an interprime number because it is at equal distance from previous prime (2045001289) and next prime (2045001311).

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 2045001300.

It is a congruent number.

It is an unprimeable number.

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, 141289 + ... + 155088.

Almost surely, 22045001300 is an apocalyptic number.

2045001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045001300 is an abundant number, since it is smaller than the sum of its proper divisors (4129145196).

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

2045001300 is a wasteful number, since it uses less digits than its factorization.

2045001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296417 (or 296410 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2045001300 is about 45221.6905920157. The cubic root of 2045001300 is about 1269.3007289826.

Adding to 2045001300 its reverse (31005402), we get a palindrome (2076006702).

The spelling of 2045001300 in words is "two billion, forty-five million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 296377 592754 889131 1185508 1481885 1778262 2963770 3556524 4445655 5927540 6816671 7409425 8891310 13633342 14818850 17782620 20450013 22228275 27266684 29637700 34083355 40900026 44456550 68166710 81800052 88913100 102250065 136333420 170416775 204500130 340833550 409000260 511250325 681667100 1022500650 2045001300