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1020102102 = 232174337699
BaseRepresentation
bin111100110011011…
…000010111010110
32122002111120000100
4330303120113112
54042121231402
6245120154530
734164503415
oct7463302726
92562446010
101020102102
11483903898
12245768a46
13133457c16
14996a147c
155e85271c
hex3ccd85d6

1020102102 has 48 divisors (see below), whose sum is σ = 2345943600. Its totient is φ = 319251456.

The previous prime is 1020102047. The next prime is 1020102103. The reversal of 1020102102 is 2012010201.

It is a Harshad number since it is a multiple of its sum of digits (9).

1020102102 is a modest number, since divided by 102102 gives 1020 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128649 + ... + 136347.

It is an arithmetic number, because the mean of its divisors is an integer number (48873825).

Almost surely, 21020102102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172971800).

1020102102 is an abundant number, since it is smaller than the sum of its proper divisors (1325841498).

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

1020102102 is a wasteful number, since it uses less digits than its factorization.

1020102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020102102 is about 31939.0372741572. The cubic root of 1020102102 is about 1006.6562960839.

Adding to 1020102102 its reverse (2012010201), we get a palindrome (3032112303).

The spelling of 1020102102 in words is "one billion, twenty million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 433 866 1299 2598 3897 7361 7699 7794 14722 15398 22083 23097 44166 46194 66249 69291 130883 132498 138582 261766 392649 785298 1177947 2355894 3333667 6667334 10001001 20002002 30003003 56672339 60006006 113344678 170017017 340034034 510051051 1020102102