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10022022033212 = 227171091303314821
BaseRepresentation
bin1001000111010110111100…
…0100000010111100111100
31022111002120221120110012002
42101311233010002330330
52303200100120030322
633152015305401432
72053032022500620
oct221655704027474
938432527513162
1010022022033212
113214352189572
12115a402a99278
135790c37231c7
142690d5ba7180
15125a68474c92
hex91d6f102f3c

10022022033212 has 96 divisors (see below), whose sum is σ = 21420901434240. Its totient is φ = 4004831600640.

The previous prime is 10022022033203. The next prime is 10022022033271. The reversal of 10022022033212 is 21233022022001.

It is a happy number.

10022022033212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676196762 + ... + 676211582.

It is an arithmetic number, because the mean of its divisors is an integer number (223134389940).

Almost surely, 210022022033212 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 10022022033212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710450717120).

10022022033212 is an abundant number, since it is smaller than the sum of its proper divisors (11398879401028).

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

10022022033212 is a wasteful number, since it uses less digits than its factorization.

10022022033212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27991 (or 27989 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10022022033212 its reverse (21233022022001), we get a palindrome (31255044055213).

The spelling of 10022022033212 in words is "ten trillion, twenty-two billion, twenty-two million, thirty-three thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 68 109 119 218 238 436 476 763 1526 1853 3052 3706 7412 12971 13033 14821 25942 26066 29642 51884 52132 59284 91231 103747 182462 207494 221561 251957 364924 414988 443122 503914 886244 1007828 1420597 1550927 1615489 1763699 2841194 3101854 3230978 3527398 5682388 6203708 6461956 7054796 9944179 11308423 19888358 22616846 24150149 27463313 39776716 45233692 48300298 54926626 96600596 109853252 169051043 192243191 193162093 338102086 384486382 386324186 676204172 768972764 772648372 1352134651 2704269302 3283755581 5408538604 6567511162 13135022324 21054668137 22986289067 42109336274 45972578134 84218672548 91945156268 147382676959 294765353918 357929358329 589530707836 715858716658 1431717433316 2505505508303 5011011016606 10022022033212