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102100201323 = 347107263247
BaseRepresentation
bin101111100010110100…
…1010110111101101011
3100202112112112121211220
41133011221112331223
53133100122420243
6114523145353123
710243065251301
oct1370551267553
9322475477756
10102100201323
113a3339a147a
12179551987a3
13982196b113
144d27d60271
1529c87e1783
hex17c5a56f6b

102100201323 has 24 divisors (see below), whose sum is σ = 140343770112. Its totient is φ = 65994924144.

The previous prime is 102100201283. The next prime is 102100201327. The reversal of 102100201323 is 323102001201.

It is not a de Polignac number, because 102100201323 - 213 = 102100193131 is a prime.

It is a super-2 number, since 2×1021002013232 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102100201327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1582686 + ... + 1645932.

It is an arithmetic number, because the mean of its divisors is an integer number (5847657088).

Almost surely, 2102100201323 is an apocalyptic number.

102100201323 is a deficient number, since it is larger than the sum of its proper divisors (38243568789).

102100201323 is an equidigital number, since it uses as much as digits as its factorization.

102100201323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63511 (or 63404 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102100201323 its reverse (323102001201), we get a palindrome (425202202524).

The spelling of 102100201323 in words is "one hundred two billion, one hundred million, two hundred one thousand, three hundred twenty-three".

Divisors: 1 3 47 107 141 321 5029 11449 15087 34347 63247 189741 538103 1614309 2972609 6767429 8917827 20302287 318069163 724114903 954207489 2172344709 34033400441 102100201323