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211020001221200 = 2452582790535439
BaseRepresentation
bin101111111110101111101100…
…001101101001101001010000
31000200011022111201010001022012
4233332233230031221221100
5210124322430303034300
62024445130020402052
762306456230212323
oct5776575415515120
91020138451101265
10211020001221200
1161268097455836
121b80110b546328
1390991403c7662
143a175cb6bc7ba
15195e1ab656435
hexbfebec369a50

211020001221200 has 60 divisors (see below), whose sum is σ = 507062563091520. Its totient is φ = 84393513886080.

The previous prime is 211020001221137. The next prime is 211020001221223. The reversal of 211020001221200 is 2122100020112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42936920 + ... + 47598519.

It is an arithmetic number, because the mean of its divisors is an integer number (8451042718192).

Almost surely, 2211020001221200 is an apocalyptic number.

211020001221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020001221200 is an abundant number, since it is smaller than the sum of its proper divisors (296042561870320).

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

211020001221200 is a wasteful number, since it uses less digits than its factorization.

211020001221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90541284 (or 90541273 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211020001221200 its reverse (2122100020112), we get a palindrome (213142101241312).

The spelling of 211020001221200 in words is "two hundred eleven trillion, twenty billion, one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5827 11654 23308 29135 46616 58270 93232 116540 145675 233080 291350 466160 582700 1165400 2330800 90535439 181070878 362141756 452677195 724283512 905354390 1448567024 1810708780 2263385975 3621417560 4526771950 7242835120 9053543900 18107087800 36214175600 527550003053 1055100006106 2110200012212 2637750015265 4220400024424 5275500030530 8440800048848 10551000061060 13188750076325 21102000122120 26377500152650 42204000244240 52755000305300 105510000610600 211020001221200