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1003012212 = 2232922712697
BaseRepresentation
bin111011110010001…
…100000001110100
32120220100022002110
4323302030001310
54023232342322
6243310011020
733566314566
oct7362140164
92526308073
101003012212
114751a0a14
1223baa6a70
1312ca53267
14972d3336
155d0c8c0c
hex3bc8c074

1003012212 has 48 divisors (see below), whose sum is σ = 2431920960. Its totient is φ = 321361152.

The previous prime is 1003012201. The next prime is 1003012237. The reversal of 1003012212 is 2122103001.

It is a super-2 number, since 2×10030122122 = 2012066994842265888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72648 + ... + 85344.

It is an arithmetic number, because the mean of its divisors is an integer number (50665020).

Almost surely, 21003012212 is an apocalyptic number.

1003012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215960480).

1003012212 is an abundant number, since it is smaller than the sum of its proper divisors (1428908748).

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

1003012212 is a wasteful number, since it uses less digits than its factorization.

1003012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12960 (or 12958 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1003012212 is about 31670.3680433303. The cubic root of 1003012212 is about 1001.0030641925.

Adding to 1003012212 its reverse (2122103001), we get a palindrome (3125115213).

The spelling of 1003012212 in words is "one billion, three million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 227 348 454 681 908 1362 2724 6583 12697 13166 19749 25394 26332 38091 39498 50788 76182 78996 152364 368213 736426 1104639 1472852 2209278 2882219 4418556 5764438 8646657 11528876 17293314 34586628 83584351 167168702 250753053 334337404 501506106 1003012212