Search a number
-
+
200302332200300 = 225211434375396787
BaseRepresentation
bin101101100010110010000101…
…010110111100010101101100
3222021012201022221000010200102
4231202302011112330111230
5202223223134020402200
61550001342053450232
760122236342523021
oct5542620526742554
9867181287003612
10200302332200300
1158905818724210
121a56bb25940978
13879c576328265
1437669827b7548
1518254cb3806d5
hexb62c855bc56c

200302332200300 has 144 divisors (see below), whose sum is σ = 485213565927552. Its totient is φ = 71140962009600.

The previous prime is 200302332200291. The next prime is 200302332200323. The reversal of 200302332200300 is 3002233203002.

200302332200300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2069468507 + ... + 2069565293.

Almost surely, 2200302332200300 is an apocalyptic number.

200302332200300 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 200302332200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242606782963776).

200302332200300 is an abundant number, since it is smaller than the sum of its proper divisors (284911233727252).

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

200302332200300 is a wasteful number, since it uses less digits than its factorization.

200302332200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140608 (or 140601 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 200302332200300 its reverse (3002233203002), we get a palindrome (203304565403302).

The spelling of 200302332200300 in words is "two hundred trillion, three hundred two billion, three hundred thirty-two million, two hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1892 2150 2365 4300 4730 9460 11825 23650 43753 47300 87506 96787 175012 193574 218765 387148 437530 481283 483935 875060 962566 967870 1064657 1093825 1881379 1925132 1935740 2129314 2187650 2406415 2419675 3762758 4161841 4258628 4375300 4812830 4839350 5323285 7525516 8323682 9406895 9625660 9678700 10646570 12032075 16647364 18813790 20695169 20809205 21293140 24064150 26616425 37627580 41390338 41618410 45780251 47034475 48128300 53232850 82780676 83236820 91560502 94068950 103475845 104046025 106465700 183121004 188137900 206951690 208092050 228901255 413903380 416184100 457802510 517379225 915605020 1034758450 1144506275 2069516900 2289012550 4234721611 4578025100 8469443222 16938886444 21173608055 42347216110 46581937721 84694432220 93163875442 105868040275 182093029273 186327750884 211736080550 232909688605 364186058546 423472161100 465819377210 728372117092 910465146365 931638754420 1164548443025 1820930292730 2003023322003 2329096886050 3641860585460 4006046644006 4552325731825 4658193772100 8012093288012 9104651463650 10015116610015 18209302927300 20030233220030 40060466440060 50075583050075 100151166100150 200302332200300