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211001001200 = 245211172820869
BaseRepresentation
bin1100010010000010100…
…0111100010011110000
3202011122000121110010022
43010200220330103300
511424112224014300
6240533231423012
721146541626543
oct3044050742360
9664560543108
10211001001200
1181537623230
1234a87984a68
1316b88507442
14a2d917285a
15574e160285
hex3120a3c4f0

211001001200 has 120 divisors (see below), whose sum is σ = 585544911120. Its totient is φ = 72214220800.

The previous prime is 211001001199. The next prime is 211001001229. The reversal of 211001001200 is 2100100112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1335635 + ... + 1485234.

It is an arithmetic number, because the mean of its divisors is an integer number (4879540926).

Almost surely, 2211001001200 is an apocalyptic number.

211001001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001001200 is an abundant number, since it is smaller than the sum of its proper divisors (374543909920).

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

211001001200 is a wasteful number, since it uses less digits than its factorization.

211001001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820915 (or 2820904 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 211001001200 its reverse (2100100112), we get a palindrome (213101101312).

The spelling of 211001001200 in words is "two hundred eleven billion, one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 136 170 176 187 200 220 272 275 340 374 400 425 440 550 680 748 850 880 935 1100 1360 1496 1700 1870 2200 2992 3400 3740 4400 4675 6800 7480 9350 14960 18700 37400 74800 2820869 5641738 11283476 14104345 22566952 28208690 31029559 45133904 47954773 56417380 62059118 70521725 95909546 112834760 124118236 141043450 155147795 191819092 225669520 239773865 248236472 282086900 310295590 383638184 479547730 496472944 527502503 564173800 620591180 767276368 775738975 959095460 1055005006 1128347600 1198869325 1241182360 1551477950 1918190920 2110010012 2397738650 2482364720 2637512515 3102955900 3836381840 4220020024 4795477300 5275025030 6205911800 8440040048 9590954600 10550050060 12411823600 13187562575 19181909200 21100100120 26375125150 42200200240 52750250300 105500500600 211001001200