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102033100232 = 23721074675209
BaseRepresentation
bin101111100000110100…
…1011000110111001000
3100202100212021112110022
41133001221120313020
53132430433201412
6114512351240012
710241322020300
oct1370151306710
9322325245408
10102033100232
113a2aa030428
1217936819008
139810aa5c2b
144d1d094600
1529c2989a72
hex17c1a58dc8

102033100232 has 96 divisors (see below), whose sum is σ = 225150775200. Its totient is φ = 43218733824.

The previous prime is 102033100229. The next prime is 102033100237. The reversal of 102033100232 is 232001330201.

102033100232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102033100232.

It is not an unprimeable number, because it can be changed into a prime (102033100237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19585244 + ... + 19590452.

It is an arithmetic number, because the mean of its divisors is an integer number (2345320575).

Almost surely, 2102033100232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102033100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112575387600).

102033100232 is an abundant number, since it is smaller than the sum of its proper divisors (123117674968).

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

102033100232 is a wasteful number, since it uses less digits than its factorization.

102033100232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5803 (or 5792 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 102033100232 its reverse (232001330201), we get a palindrome (334034430433).

The spelling of 102033100232 in words is "one hundred two billion, thirty-three million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 107 196 214 392 428 467 749 856 934 1498 1868 2996 3269 3736 5209 5243 5992 6538 10418 10486 13076 20836 20972 22883 26152 36463 41672 41944 45766 49969 72926 91532 99938 145852 183064 199876 255241 291704 349783 399752 510482 557363 699566 1020964 1114726 1399132 2041928 2229452 2432603 2448481 2798264 3901541 4458904 4865206 4896962 7803082 9730412 9793924 15606164 17028221 19460824 19587848 27310787 31212328 34056442 54621574 68112884 109243148 119197547 136225768 218486296 238395094 260288521 476790188 520577042 953580376 1041154084 1822019647 2082308168 3644039294 7288078588 12754137529 14576157176 25508275058 51016550116 102033100232