Search a number
-
+
202021100202000 = 2435334757968731
BaseRepresentation
bin101101111011110010110011…
…111010100010100000010000
3222111022000202211020020012110
4231323302303322202200100
5202434403203122431000
61553355113501025320
760360354122503512
oct5573626372424020
9874260684206173
10202021100202000
1159408738426202
121a7a9061855240
13889567b11c781
1437c5c3294bbb2
1518550746ad850
hexb7bcb3ea2810

202021100202000 has 160 divisors (see below), whose sum is σ = 651335438542464. Its totient is φ = 53870687808000.

The previous prime is 202021100201989. The next prime is 202021100202013. The reversal of 202021100202000 is 202001120202.

202021100202000 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208057635 + ... + 209026365.

Almost surely, 2202021100202000 is an apocalyptic number.

202021100202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202021100202000 is an abundant number, since it is smaller than the sum of its proper divisors (449314338340464).

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

202021100202000 is a wasteful number, since it uses less digits than its factorization.

202021100202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003514 (or 1003498 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202021100202000 its reverse (202001120202), we get a palindrome (202223101322202).

The spelling of 202021100202000 in words is "two hundred two trillion, twenty-one billion, one hundred million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 34757 69514 104271 139028 173785 208542 278056 347570 417084 521355 556112 695140 834168 868925 968731 1042710 1390280 1668336 1737850 1937462 2085420 2606775 2780560 2906193 3475700 3874924 4170840 4344625 4843655 5213550 5812386 6951400 7749848 8341680 8689250 9687310 10427100 11624772 13033875 13902800 14530965 15499696 17378500 19374620 20854200 23249544 24218275 26067750 29061930 34757000 38749240 41708400 46499088 48436550 52135500 58123860 69514000 72654825 77498480 96873100 104271000 116247720 121091375 145309650 193746200 208542000 232495440 242182750 290619300 363274125 387492400 484365500 581238600 726548250 968731000 1162477200 1453096500 1937462000 2906193000 5812386000 33670183367 67340366734 101010550101 134680733468 168350916835 202021100202 269361466936 336701833670 404042200404 505052750505 538722933872 673403667340 808084400808 841754584175 1010105501010 1346807334680 1616168801616 1683509168350 2020211002020 2525263752525 2693614669360 3367018336700 4040422004040 4208772920875 5050527505050 6734036673400 8080844008080 8417545841750 10101055010100 12626318762625 13468073346800 16835091683500 20202110020200 25252637525250 33670183367000 40404220040400 50505275050500 67340366734000 101010550101000 202021100202000