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211000020121000 = 235311104561183451
BaseRepresentation
bin101111111110011101000101…
…001111110011010110101000
31000200002101221012010222201001
4233332131011033303112220
5210124011020122333000
62024432023204204344
762305151124523015
oct5776350517632650
91020071835128631
10211000020121000
116125a673665490
121b7b92739996b4
1390972a7909446
143a16653b1670c
15195d8dc3c046a
hexbfe7453f35a8

211000020121000 has 128 divisors (see below), whose sum is σ = 538633593313920. Its totient is φ = 76726128000000.

The previous prime is 211000020120991. The next prime is 211000020121003. The reversal of 211000020121000 is 121020000112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (211000020121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1150079275 + ... + 1150262725.

It is an arithmetic number, because the mean of its divisors is an integer number (4208074947765).

Almost surely, 2211000020121000 is an apocalyptic number.

211000020121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000020121000 is an abundant number, since it is smaller than the sum of its proper divisors (327633573192920).

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

211000020121000 is a wasteful number, since it uses less digits than its factorization.

211000020121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288044 (or 288030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211000020121000 its reverse (121020000112), we get a palindrome (211121040121112).

The spelling of 211000020121000 in words is "two hundred eleven trillion, twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 104561 183451 209122 366902 418244 522805 733804 836488 917255 1045610 1150171 1467608 1834510 2017961 2091220 2300342 2614025 3669020 4035922 4182440 4586275 4600684 5228050 5750855 7338040 8071844 9172550 9201368 10089805 10456100 11501710 13070125 16143688 18345100 20179610 20912200 22931375 23003420 26140250 28754275 36690200 40359220 45862750 46006840 50449025 52280500 57508550 80718440 91725500 100898050 104561000 115017100 143771375 183451000 201796100 230034200 252245125 287542750 403592200 504490250 575085500 1008980500 1150171000 2017961000 19181820011 38363640022 76727280044 95909100055 153454560088 191818200110 211000020121 383636400220 422000040242 479545500275 767272800440 844000080484 959091000550 1055000100605 1688000160968 1918182001100 2110000201210 2397727501375 3836364002200 4220000402420 4795455002750 5275000503025 8440000804840 9590910005500 10550001006050 19181820011000 21100002012100 26375002515125 42200004024200 52750005030250 105500010060500 211000020121000