Search a number
-
+
20213001003300 = 2235279625238573
BaseRepresentation
bin1001001100010001101001…
…01111101010000100100100
32122120100021210102120212220
410212020310233222010210
510122132211224101200
6110553420252512340
74154225002462410
oct446106457520444
978510253376786
1020213001003300
116493316129466
1223254b917b6b0
13b38101c66471
144dc458c89d40
15250bbe8a94a0
hex126234bea124

20213001003300 has 72 divisors (see below), whose sum is σ = 66837656657856. Its totient is φ = 4620114514560.

The previous prime is 20213001003277. The next prime is 20213001003329. The reversal of 20213001003300 is 330010031202.

It is a super-2 number, since 2×202130010033002 (a number of 27 digits) 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 20213001003300.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4812617187 + ... + 4812621386.

Almost surely, 220213001003300 is an apocalyptic number.

20213001003300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20213001003300 is an abundant number, since it is smaller than the sum of its proper divisors (46624655654556).

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

20213001003300 is a wasteful number, since it uses less digits than its factorization.

20213001003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9625238597 (or 9625238590 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20213001003300 its reverse (330010031202), we get a palindrome (20543011034502).

The spelling of 20213001003300 in words is "twenty trillion, two hundred thirteen billion, one million, three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 9625238573 19250477146 28875715719 38500954292 48126192865 57751431438 67376670011 96252385730 115502862876 134753340022 144378578595 192504771460 202130010033 240630964325 269506680044 288757157190 336883350055 404260020066 481261928650 577514314380 673766700110 721892892975 808520040132 962523857300 1010650050165 1347533400220 1443785785950 1684416750275 2021300100330 2887571571900 3368833500550 4042600200660 5053250250825 6737667001100 10106500501650 20213001003300