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1000023102 = 2321326915887
BaseRepresentation
bin111011100110110…
…010010000111110
32120200201102210200
4323212302100332
54022001214402
6243121544330
733532025151
oct7346622076
92520642720
101000023102
1147353a181
1223aaa50a6
1312c247860
1496b55c98
155cbd821c
hex3b9b243e

1000023102 has 48 divisors (see below), whose sum is σ = 2342208960. Its totient is φ = 306536256.

The previous prime is 1000023053. The next prime is 1000023109. The reversal of 1000023102 is 2013200001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000023109) 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, 55003 + ... + 70889.

It is an arithmetic number, because the mean of its divisors is an integer number (48796020).

Almost surely, 21000023102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000023102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171104480).

1000023102 is an abundant number, since it is smaller than the sum of its proper divisors (1342185858).

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

1000023102 is a wasteful number, since it uses less digits than its factorization.

1000023102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16177 (or 16174 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000023102 is about 31623.1418742667. The cubic root of 1000023102 is about 1000.0077006074.

Adding to 1000023102 its reverse (2013200001), we get a palindrome (3013223103).

The spelling of 1000023102 in words is "one billion, twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 269 538 807 1614 2421 3497 4842 6994 10491 15887 20982 31473 31774 47661 62946 95322 142983 206531 285966 413062 619593 1239186 1858779 3717558 4273603 8547206 12820809 25641618 38462427 55556839 76924854 111113678 166670517 333341034 500011551 1000023102