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10222002012 = 223172910391663
BaseRepresentation
bin10011000010100011…
…10101111101011100
3222101101111111122010
421201101311331130
5131413313031022
64410152551220
7511211404065
oct114121657534
928341444563
1010222002012
114376065452
121b933b2510
13c6b9a9201
146cd83156c
153ec61150c
hex261475f5c

10222002012 has 96 divisors (see below), whose sum is σ = 26166067200. Its totient is φ = 3091479552.

The previous prime is 10222001953. The next prime is 10222002017. The reversal of 10222002012 is 21020022201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222002017) 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, 6145893 + ... + 6147555.

It is an arithmetic number, because the mean of its divisors is an integer number (272563200).

Almost surely, 210222002012 is an apocalyptic number.

10222002012 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 10222002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083033600).

10222002012 is an abundant number, since it is smaller than the sum of its proper divisors (15944065188).

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

10222002012 is a wasteful number, since it uses less digits than its factorization.

10222002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10222002012 its reverse (21020022201), we get a palindrome (31242024213).

The spelling of 10222002012 in words is "ten billion, two hundred twenty-two million, two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1039 1479 1663 1972 2078 2958 3117 3326 4156 4989 5916 6234 6652 9978 12468 17663 19956 28271 30131 35326 48227 52989 56542 60262 70652 84813 90393 96454 105978 113084 120524 144681 169626 180786 192908 211956 289362 339252 361572 512227 578724 819859 1024454 1536681 1639718 1727857 2048908 2459577 3073362 3279436 3455714 4919154 5183571 6146724 6911428 9838308 10367142 20734284 29373569 50107853 58747138 88120707 100215706 117494276 150323559 176241414 200431412 300647118 352482828 601294236 851833501 1703667002 2555500503 3407334004 5111001006 10222002012