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211020000121503 = 323110913949920407
BaseRepresentation
bin101111111110101111101100…
…001001011101001010011111
31000200011022111122001011210200
4233332233230021131022133
5210124322430012342003
62024445125541034543
762306456214652236
oct5776575411351237
91020138448034720
10211020000121503
11612680968745a1
121b80110b0b5a53
139099140100c51
143a175cb4b3b1d
15195e1ab4da6a3
hexbfebec25d29f

211020000121503 has 48 divisors (see below), whose sum is σ = 319810101811200. Its totient is φ = 133922471584320.

The previous prime is 211020000121501. The next prime is 211020000121547. The reversal of 211020000121503 is 305121000020112.

211020000121503 is a `hidden beast` number, since 21 + 1 + 0 + 20 + 0 + 0 + 0 + 121 + 503 = 666.

It is not a de Polignac number, because 211020000121503 - 21 = 211020000121501 is a prime.

It is a super-2 number, since 2×2110200001215032 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211020000121501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20733075 + ... + 29187332.

It is an arithmetic number, because the mean of its divisors is an integer number (6662710454400).

Almost surely, 2211020000121503 is an apocalyptic number.

211020000121503 is a deficient number, since it is larger than the sum of its proper divisors (108790101689697).

211020000121503 is a wasteful number, since it uses less digits than its factorization.

211020000121503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49920692 (or 49920689 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 211020000121503 its reverse (305121000020112), we get a palindrome (516141000141615).

The spelling of 211020000121503 in words is "two hundred eleven trillion, twenty billion, one hundred twenty-one thousand, five hundred three".

Divisors: 1 3 9 31 93 109 139 279 327 417 981 1251 3379 4309 10137 12927 15151 30411 38781 45453 136359 469681 1409043 4227129 49920407 149761221 449283663 1547532617 4642597851 5441324363 6938936573 13927793553 16323973089 20816809719 48971919267 62450429157 168681055253 215107033763 506043165759 645321101289 756344086457 1518129497277 1935963303867 2269032259371 6807096778113 23446666680167 70340000040501 211020000121503