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102233023101 = 33113131099741
BaseRepresentation
bin101111100110110010…
…0000010001001111101
3100202212210110200002000
41133031210002021331
53133333123214401
6114544252252513
710246300233636
oct1371544021175
9322783420060
10102233023101
113a3a1970440
1217991771139
1398433340a1
144d3b85688d
1529d52cb186
hex17cd90227d

102233023101 has 32 divisors (see below), whose sum is σ = 165753114240. Its totient is φ = 61761398400.

The previous prime is 102233023069. The next prime is 102233023103. The reversal of 102233023101 is 101320332201.

102233023101 is a `hidden beast` number, since 1 + 0 + 22 + 330 + 2 + 310 + 1 = 666.

It is not a de Polignac number, because 102233023101 - 25 = 102233023069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233023103) 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 31 ways as a sum of consecutive naturals, for example, 456910 + ... + 642831.

It is an arithmetic number, because the mean of its divisors is an integer number (5179784820).

Almost surely, 2102233023101 is an apocalyptic number.

102233023101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102233023101 is a deficient number, since it is larger than the sum of its proper divisors (63520091139).

102233023101 is a wasteful number, since it uses less digits than its factorization.

102233023101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100074 (or 1100068 counting only the distinct ones).

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

Adding to 102233023101 its reverse (101320332201), we get a palindrome (203553355302).

The spelling of 102233023101 in words is "one hundred two billion, two hundred thirty-three million, twenty-three thousand, one hundred one".

Divisors: 1 3 9 11 27 33 99 297 313 939 2817 3443 8451 10329 30987 92961 1099741 3299223 9897669 12097151 29693007 36291453 108874359 326623077 344218933 1032656799 3097970397 3786408263 9293911191 11359224789 34077674367 102233023101