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211201212405042 = 232175934211194981
BaseRepresentation
bin110000000001011000011101…
…001111011101010100110010
31000200210122020121220222102200
4300001120131033131110302
5210140310040333430132
62025104255245124030
762325532633650546
oct6001303517352462
91020718217828380
10211201212405042
1161327a274422a2
121b830262859616
1390b025bc4aa22
143a2229c2b9a26
151963c65358d7c
hexc0161d3dd532

211201212405042 has 48 divisors (see below), whose sum is σ = 457878507989760. Its totient is φ = 70357963658400.

The previous prime is 211201212405037. The next prime is 211201212405097. The reversal of 211201212405042 is 240504212102112.

211201212405042 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 0 + 1 + 212 + 405 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 211201212404997 and 211201212405015.

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, 1083091192 + ... + 1083286172.

It is an arithmetic number, because the mean of its divisors is an integer number (9539135583120).

Almost surely, 2211201212405042 is an apocalyptic number.

211201212405042 is an abundant number, since it is smaller than the sum of its proper divisors (246677295584718).

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

211201212405042 is a wasteful number, since it uses less digits than its factorization.

211201212405042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230959 (or 230956 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 211201212405042 its reverse (240504212102112), we get a palindrome (451705424507154).

The spelling of 211201212405042 in words is "two hundred eleven trillion, two hundred one billion, two hundred twelve million, four hundred five thousand, forty-two".

Divisors: 1 2 3 6 9 18 1759 3518 5277 10554 15831 31662 34211 68422 102633 194981 205266 307899 389962 584943 615798 1169886 1754829 3509658 60177149 120354298 180531447 342971579 361062894 541594341 685943158 1028914737 1083188682 2057829474 3086744211 6173488422 6670494991 13340989982 20011484973 40022969946 60034454919 120068909838 11733400689169 23466801378338 35200202067507 70400404135014 105600606202521 211201212405042