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2300000021200 = 245272557321247
BaseRepresentation
bin100001011110000010101…
…011110010101011010000
322010212200221210221210101
4201132002223302223100
5300140400001134300
64520334434342144
7325112100416260
oct41360253625320
98125627727711
102300000021200
11807474062002
1231190942a954
13138b7339c80b
147d46b9d97a0
153ec65692b6a
hex21782af2ad0

2300000021200 has 120 divisors (see below), whose sum is σ = 6317632328192. Its totient is φ = 788260584960.

The previous prime is 2300000021177. The next prime is 2300000021261. The reversal of 2300000021200 is 21200000032.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 6998977 + ... + 7320223.

Almost surely, 22300000021200 is an apocalyptic number.

2300000021200 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 2300000021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158816164096).

2300000021200 is an abundant number, since it is smaller than the sum of its proper divisors (4017632306992).

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

2300000021200 is a wasteful number, since it uses less digits than its factorization.

2300000021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323829 (or 323818 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 2300000021200 its reverse (21200000032), we get a palindrome (2321200021232).

The spelling of 2300000021200 in words is "two trillion, three hundred billion, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2557 2800 5114 10228 12785 17899 20456 25570 35798 40912 51140 63925 71596 89495 102280 127850 143192 178990 204560 255700 286384 321247 357980 447475 511400 642494 715960 894950 1022800 1284988 1431920 1606235 1789900 2248729 2569976 3212470 3579800 4497458 5139952 6424940 7159600 8031175 8994916 11243645 12849880 16062350 17989832 22487290 25699760 32124700 35979664 44974580 56218225 64249400 89949160 112436450 128498800 179898320 224872900 449745800 821428579 899491600 1642857158 3285714316 4107142895 5750000053 6571428632 8214285790 11500000106 13142857264 16428571580 20535714475 23000000212 28750000265 32857143160 41071428950 46000000424 57500000530 65714286320 82142857900 92000000848 115000001060 143750001325 164285715800 230000002120 287500002650 328571431600 460000004240 575000005300 1150000010600 2300000021200