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20201202300 = 22352257479547
BaseRepresentation
bin10010110100000101…
…011110001001111100
31221010212010101220210
4102310011132021330
5312333001433200
613140313512420
71313414246346
oct226405361174
957125111823
1020201202300
118627063314
123ab9412710
131b9c293256
14d98cdc296
157d3761650
hex4b415e27c

20201202300 has 144 divisors (see below), whose sum is σ = 58906229760. Its totient is φ = 5345034240.

The previous prime is 20201202283. The next prime is 20201202331. The reversal of 20201202300 is 320210202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 36930627 + ... + 36931173.

It is an arithmetic number, because the mean of its divisors is an integer number (409071040).

Almost surely, 220201202300 is an apocalyptic number.

20201202300 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 20201202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29453114880).

20201202300 is an abundant number, since it is smaller than the sum of its proper divisors (38705027460).

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

20201202300 is a wasteful number, since it uses less digits than its factorization.

20201202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20201202300 its reverse (320210202), we get a palindrome (20521412502).

The spelling of 20201202300 in words is "twenty billion, two hundred one million, two hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 257 300 479 514 547 771 958 1028 1094 1285 1437 1542 1641 1916 2188 2395 2570 2735 2874 3084 3282 3855 4790 5140 5470 5748 6425 6564 7185 7710 8205 9580 10940 11975 12850 13675 14370 15420 16410 19275 23950 25700 27350 28740 32820 35925 38550 41025 47900 54700 71850 77100 82050 123103 140579 143700 164100 246206 262013 281158 369309 421737 492412 524026 562316 615515 702895 738618 786039 843474 1048052 1231030 1310065 1405790 1477236 1572078 1686948 1846545 2108685 2462060 2620130 2811580 3077575 3144156 3514475 3693090 3930195 4217370 5240260 6155150 6550325 7028950 7386180 7860390 8434740 9232725 10543425 12310300 13100650 14057900 15720780 18465450 19650975 21086850 26201300 36930900 39301950 42173700 67337341 78603900 134674682 202012023 269349364 336686705 404024046 673373410 808048092 1010060115 1346746820 1683433525 2020120230 3366867050 4040240460 5050300575 6733734100 10100601150 20201202300