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52128231102 = 23331302310301
BaseRepresentation
bin110000100011000101…
…011010111010111110
311222112220110111212000
4300203011122322332
51323224311343402
635540344523130
73523533440103
oct604305327276
9158486414760
1052128231102
1120120033632
12a1297804a6
134bb996367c
142747248aaa
151551636c1c
hexc2315aebe

52128231102 has 64 divisors (see below), whose sum is σ = 119628472320. Its totient is φ = 16808364000.

The previous prime is 52128231097. The next prime is 52128231121. The reversal of 52128231102 is 20113282125.

52128231102 is a `hidden beast` number, since 521 + 2 + 8 + 2 + 31 + 102 = 666.

It is a super-3 number, since 3×521282311023 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 5055352 + ... + 5065652.

It is an arithmetic number, because the mean of its divisors is an integer number (1869194880).

Almost surely, 252128231102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52128231102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59814236160).

52128231102 is an abundant number, since it is smaller than the sum of its proper divisors (67500241218).

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

52128231102 is a wasteful number, since it uses less digits than its factorization.

52128231102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13366 (or 13360 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 52128231102 in words is "fifty-two billion, one hundred twenty-eight million, two hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 3023 6046 9069 10301 18138 20602 27207 30903 54414 61806 81621 92709 93713 163242 185418 187426 278127 281139 319331 556254 562278 638662 843417 957993 1686834 1915986 2530251 2873979 5060502 5747958 8621937 17243874 31139923 62279846 93419769 186839538 280259307 560518614 840777921 965337613 1681555842 1930675226 2896012839 5792025678 8688038517 17376077034 26064115551 52128231102