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211121022112110 = 232511451947190431
BaseRepresentation
bin110000000000001101110001…
…100001110001000101101110
31000200111222021000202000121100
4300000031301201301011232
5210133001323130041420
62025003354132543530
762316663511501215
oct6000156141610556
91020458230660540
10211121022112110
11612a6a17083330
121b818803181ba6
1390a581c57a056
143a1c45216807c
151961b202ec190
hexc0037187116e

211121022112110 has 96 divisors (see below), whose sum is σ = 598948513413120. Its totient is φ = 51169527057600.

The previous prime is 211121022112081. The next prime is 211121022112151. The reversal of 211121022112110 is 11211220121112.

It is a happy number.

211121022112110 is a `hidden beast` number, since 2 + 111 + 210 + 221 + 12 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19121406 + ... + 28069025.

It is an arithmetic number, because the mean of its divisors is an integer number (6239047014720).

Almost surely, 2211121022112110 is an apocalyptic number.

211121022112110 is an abundant number, since it is smaller than the sum of its proper divisors (387827491301010).

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

211121022112110 is a wasteful number, since it uses less digits than its factorization.

211121022112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47194974 (or 47194971 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211121022112110 its reverse (11211220121112), we get a palindrome (222332242233222).

The spelling of 211121022112110 in words is "two hundred eleven trillion, one hundred twenty-one billion, twenty-two million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 4519 9038 13557 22595 27114 40671 45190 49709 67785 81342 99418 135570 149127 203355 248545 298254 406710 447381 497090 745635 894762 1491270 2236905 4473810 47190431 94380862 141571293 235952155 283142586 424713879 471904310 519094741 707856465 849427758 1038189482 1415712930 1557284223 2123569395 2595473705 3114568446 4247138790 4671852669 5190947410 7786421115 9343705338 15572842230 23359263345 46718526690 213253557689 426507115378 639760673067 1066267788445 1279521346134 1919282019201 2132535576890 2345789134579 3198803365335 3838564038402 4691578269158 6397606730670 7037367403737 9596410096005 11728945672895 14074734807474 19192820192010 21112102211211 23457891345790 35186837018685 42224204422422 70373674037370 105560511056055 211121022112110