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1003422012 = 223232315099
BaseRepresentation
bin111011110011110…
…000000100111100
32120221010010020020
4323303300010330
54023334001022
6243322452140
733602642415
oct7363600474
92527103206
101003422012
1147545089a
12240064050
1312cb67948
149739c80c
155d15a35c
hex3bcf013c

1003422012 has 72 divisors (see below), whose sum is σ = 2526988800. Its totient is φ = 309550560.

The previous prime is 1003421959. The next prime is 1003422019. The reversal of 1003422012 is 2102243001.

It is a super-3 number, since 3×10034220123 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1003421982 and 1003422000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003422019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194239 + ... + 199337.

Almost surely, 21003422012 is an apocalyptic number.

1003422012 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 1003422012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263494400).

1003422012 is an abundant number, since it is smaller than the sum of its proper divisors (1523566788).

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

1003422012 is a wasteful number, since it uses less digits than its factorization.

1003422012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1003422012 is about 31676.8371527209. The cubic root of 1003422012 is about 1001.1393720051.

Adding to 1003422012 its reverse (2102243001), we get a palindrome (3105665013).

The spelling of 1003422012 in words is "one billion, three million, four hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 529 713 1058 1426 1587 2116 2139 2852 3174 4278 5099 6348 8556 10198 15297 16399 20396 30594 32798 49197 61188 65596 98394 117277 158069 196788 234554 316138 351831 469108 474207 632276 703662 948414 1407324 1896828 2697371 3635587 5394742 7271174 8092113 10789484 10906761 14542348 16184226 21813522 32368452 43627044 83618501 167237002 250855503 334474004 501711006 1003422012