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211220201210193 = 32710133195065411
BaseRepresentation
bin110000000001101010001001…
…000100000000000101010001
31000200212110020222201020010100
4300001222021010000011101
5210141112433002211233
62025121115413123013
762330104330066530
oct6001521104000521
91020773228636110
10211220201210193
1161334a910a169a
121b833a82029469
1390b1c96c98ac6
143a2318017c317
1519644c7431813
hexc01a89100151

211220201210193 has 24 divisors (see below), whose sum is σ = 352133253890496. Its totient is φ = 119502235476000.

The previous prime is 211220201210191. The next prime is 211220201210261. The reversal of 211220201210193 is 391012102022112.

211220201210193 is a `hidden beast` number, since 2 + 11 + 220 + 201 + 210 + 19 + 3 = 666.

It is not a de Polignac number, because 211220201210193 - 21 = 211220201210191 is a prime.

It is a super-2 number, since 2×2112202012101932 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211220201210191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16597526343 + ... + 16597539068.

It is an arithmetic number, because the mean of its divisors is an integer number (14672218912104).

Almost surely, 2211220201210193 is an apocalyptic number.

It is an amenable number.

211220201210193 is a deficient number, since it is larger than the sum of its proper divisors (140913052680303).

211220201210193 is a wasteful number, since it uses less digits than its factorization.

211220201210193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33195065525 (or 33195065522 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 211220201210193 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred one million, two hundred ten thousand, one hundred ninety-three".

Divisors: 1 3 7 9 21 63 101 303 707 909 2121 6363 33195065411 99585196233 232365457877 298755588699 697096373631 2091289120893 3352701606511 10058104819533 23468911245577 30174314458599 70406733736731 211220201210193