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21152166411141 = 332693872375209
BaseRepresentation
bin1001100111100110111110…
…10111010111101110000101
32202220010102211211112102000
410303303133113113232011
510233024114100124031
6112553100542535513
74312123254644433
oct463633727275605
982803384745360
1021152166411141
116815646559907
122457521897599
13ba58438cc9bc
14531aada6bd53
1526a33a4b13e6
hex133cdf5d7b85

21152166411141 has 32 divisors (see below), whose sum is σ = 31454266032000. Its totient is φ = 14048472945024.

The previous prime is 21152166411121. The next prime is 21152166411179. The reversal of 21152166411141 is 14111466125112.

21152166411141 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 2 + 1 + 6 + 641 + 1 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 21152166411141 - 29 = 21152166410629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21152166411096 and 21152166411105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21152166411121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281207545 + ... + 281282753.

It is an arithmetic number, because the mean of its divisors is an integer number (982945813500).

Almost surely, 221152166411141 is an apocalyptic number.

It is an amenable number.

21152166411141 is a deficient number, since it is larger than the sum of its proper divisors (10302099620859).

21152166411141 is a wasteful number, since it uses less digits than its factorization.

21152166411141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114210 (or 114204 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The spelling of 21152166411141 in words is "twenty-one trillion, one hundred fifty-two billion, one hundred sixty-six million, four hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 9 27 269 807 2421 7263 38723 75209 116169 225627 348507 676881 1045521 2030643 10416487 20231221 31249461 60693663 93748383 182080989 281245149 546242967 2912318107 8736954321 26210862963 78632588889 783413570783 2350240712349 7050722137047 21152166411141