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10102032133 = 6722250397
BaseRepresentation
bin10010110100010000…
…01100011100000101
3222002000202101220021
421122020030130011
5131142110012013
64350225335141
7505223566504
oct113210143405
928060671807
1010102032133
114314374296
121b5b1974b1
13c4cb92c0b
146bb92283b
153e1d14a8d
hex25a20c705

10102032133 has 6 divisors (see below), whose sum is σ = 10255063686. Its totient is φ = 9951251112.

The previous prime is 10102032089. The next prime is 10102032139. The reversal of 10102032133 is 33123020101.

It can be written as a sum of positive squares in only one way, i.e., 8975288644 + 1126743489 = 94738^2 + 33567^2 .

It is a de Polignac number, because none of the positive numbers 2k-10102032133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102032139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1120710 + ... + 1129687.

It is an arithmetic number, because the mean of its divisors is an integer number (1709177281).

Almost surely, 210102032133 is an apocalyptic number.

It is an amenable number.

10102032133 is a deficient number, since it is larger than the sum of its proper divisors (153031553).

10102032133 is an frugal number, since it uses more digits than its factorization.

10102032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250531 (or 2250464 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10102032133 its reverse (33123020101), we get a palindrome (43225052234).

The spelling of 10102032133 in words is "ten billion, one hundred two million, thirty-two thousand, one hundred thirty-three".

Divisors: 1 67 4489 2250397 150776599 10102032133