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102100231332 = 223211257828867
BaseRepresentation
bin101111100010110100…
…1011110010010100100
3100202112112121011000100
41133011221132102210
53133100124400312
6114523150144100
710243065434631
oct1370551362244
9322475534010
10102100231332
113a333a11a80
12179551b2030
13982197b988
144d27d6b188
1529c87ea5dc
hex17c5a5e4a4

102100231332 has 36 divisors (see below), whose sum is σ = 281549123856. Its totient is φ = 30939463920.

The previous prime is 102100231297. The next prime is 102100231351. The reversal of 102100231332 is 233132001201.

102100231332 is a `hidden beast` number, since 1 + 0 + 2 + 100 + 231 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 128914038 + ... + 128914829.

It is an arithmetic number, because the mean of its divisors is an integer number (7820808996).

Almost surely, 2102100231332 is an apocalyptic number.

102100231332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102100231332 is an abundant number, since it is smaller than the sum of its proper divisors (179448892524).

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

102100231332 is a wasteful number, since it uses less digits than its factorization.

102100231332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257828888 (or 257828883 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102100231332 its reverse (233132001201), we get a palindrome (335232232533).

The spelling of 102100231332 in words is "one hundred two billion, one hundred million, two hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 257828867 515657734 773486601 1031315468 1546973202 2320459803 2836117537 3093946404 4640919606 5672235074 8508352611 9281839212 11344470148 17016705222 25525057833 34033410444 51050115666 102100231332