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1001202012 = 2233175310289
BaseRepresentation
bin111011101011010…
…010000101011100
32120202221022222000
4323223102011130
54022301431022
6243203122300
733545035206
oct7353220534
92522838860
101001202012
11474174988
1223b373390
1312c56b335
1496d81776
155cd6c6ac
hex3bad215c

1001202012 has 96 divisors (see below), whose sum is σ = 2800526400. Its totient is φ = 308146176.

The previous prime is 1001201977. The next prime is 1001202019. The reversal of 1001202012 is 2102021001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001201985 and 1001202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001202019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92164 + ... + 102452.

It is an arithmetic number, because the mean of its divisors is an integer number (29172150).

Almost surely, 21001202012 is an apocalyptic number.

1001202012 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 1001202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400263200).

1001202012 is an abundant number, since it is smaller than the sum of its proper divisors (1799324388).

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

1001202012 is a wasteful number, since it uses less digits than its factorization.

1001202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10372 (or 10364 counting only the distinct ones).

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

The square root of 1001202012 is about 31641.7763723847. The cubic root of 1001202012 is about 1000.4005102368.

Adding to 1001202012 its reverse (2102021001), we get a palindrome (3103223013).

The spelling of 1001202012 in words is "one billion, one million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 53 54 68 102 106 108 153 159 204 212 306 318 459 477 612 636 901 918 954 1431 1802 1836 1908 2703 2862 3604 5406 5724 8109 10289 10812 16218 20578 24327 30867 32436 41156 48654 61734 92601 97308 123468 174913 185202 277803 349826 370404 524739 545317 555606 699652 1049478 1090634 1111212 1574217 1635951 2098956 2181268 3148434 3271902 4722651 4907853 6296868 6543804 9270389 9445302 9815706 14723559 18540778 18890604 19631412 27811167 29447118 37081556 55622334 58894236 83433501 111244668 166867002 250300503 333734004 500601006 1001202012