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211302313113168 = 2433489125724799
BaseRepresentation
bin110000000010110110100111…
…010100000011011001010000
31000201011022012111202002101000
4300002312213110003121100
5210143434114124110133
62025222535332142000
762336042204541624
oct6002664724033120
91021138174662330
10211302313113168
1161366898126732
121b847979167900
1390b99517c8544
143a2712d5c1184
1519666d1019413
hexc02da7503650

211302313113168 has 40 divisors (see below), whose sum is σ = 606515898752000. Its totient is φ = 70434104370912.

The previous prime is 211302313113113. The next prime is 211302313113169. The reversal of 211302313113168 is 861311313203112.

211302313113168 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 0 + 23 + 1 + 311 + 316 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211302313113169) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 244562861968 + ... + 244562862831.

It is an arithmetic number, because the mean of its divisors is an integer number (15162897468800).

Almost surely, 2211302313113168 is an apocalyptic number.

It is an amenable number.

211302313113168 is an abundant number, since it is smaller than the sum of its proper divisors (395213585638832).

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

211302313113168 is a wasteful number, since it uses less digits than its factorization.

211302313113168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489125724816 (or 489125724804 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 211302313113168 in words is "two hundred eleven trillion, three hundred two billion, three hundred thirteen million, one hundred thirteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 489125724799 978251449598 1467377174397 1956502899196 2934754348794 3913005798392 4402131523191 5869508697588 7826011596784 8804263046382 11739017395176 13206394569573 17608526092764 23478034790352 26412789139146 35217052185528 52825578278292 70434104371056 105651156556584 211302313113168