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1000102012 = 2271319413527
BaseRepresentation
bin111011100111000…
…101100001111100
32120200212110001021
4323213011201330
54022011231022
6243123353524
733532504210
oct7347054174
92520773037
101000102012
11473593498
1223ab228a4
1312c274750
1496b76940
155cc017c7
hex3b9c587c

1000102012 has 96 divisors (see below), whose sum is σ = 2323399680. Its totient is φ = 365575680.

The previous prime is 1000102007. The next prime is 1000102039. The reversal of 1000102012 is 2102010001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1000101986 and 1000102004.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 281793 + ... + 285319.

It is an arithmetic number, because the mean of its divisors is an integer number (24202080).

Almost surely, 21000102012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161699840).

1000102012 is an abundant number, since it is smaller than the sum of its proper divisors (1323297668).

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

1000102012 is a wasteful number, since it uses less digits than its factorization.

1000102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1000102012 is about 31624.3895118941. The cubic root of 1000102012 is about 1000.0340028438.

Adding to 1000102012 its reverse (2102010001), we get a palindrome (3102112013).

The spelling of 1000102012 in words is "one billion, one hundred two thousand, twelve".

Divisors: 1 2 4 7 13 14 19 26 28 38 41 52 76 82 91 133 164 182 247 266 287 364 494 532 533 574 779 988 1066 1148 1558 1729 2132 3116 3458 3527 3731 5453 6916 7054 7462 10127 10906 14108 14924 20254 21812 24689 40508 45851 49378 67013 70889 91702 98756 134026 141778 144607 183404 268052 283556 289214 320957 469091 578428 641914 871169 938182 1012249 1283828 1742338 1876364 1879891 2024498 2747533 3484676 3759782 4048996 5495066 6098183 7519564 10990132 12196366 13159237 19232731 24392732 26318474 35717929 38465462 52636948 71435858 76930924 142871716 250025503 500051006 1000102012