Search a number
-
+
10031233021212 = 22313241527950543
BaseRepresentation
bin1001000111111001010000…
…0101001011010100011100
31022111222100212200010022210
42101332110011023110130
52303322431123134322
633200141305040420
72053506206552214
oct221762405132434
938458325603283
1010031233021212
113218249588147
121160153786110
13579c30b06c70
1426972b221244
15125e06e2b70c
hex91f9414b51c

10031233021212 has 96 divisors (see below), whose sum is σ = 25316575764480. Its totient is φ = 3073082987520.

The previous prime is 10031233021093. The next prime is 10031233021217. The reversal of 10031233021212 is 21212033213001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031233021217) 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, 198444013 + ... + 198494555.

It is an arithmetic number, because the mean of its divisors is an integer number (263714330880).

Almost surely, 210031233021212 is an apocalyptic number.

10031233021212 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 10031233021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658287882240).

10031233021212 is an abundant number, since it is smaller than the sum of its proper divisors (15285342743268).

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

10031233021212 is a wasteful number, since it uses less digits than its factorization.

10031233021212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56083 (or 56081 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10031233021212 its reverse (21212033213001), we get a palindrome (31243266234213).

The spelling of 10031233021212 in words is "ten trillion, thirty-one billion, two hundred thirty-three million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 241 482 723 964 1446 2892 3133 5279 6266 9399 10558 12532 15837 18798 21116 31674 37596 50543 63348 68627 101086 137254 151629 202172 205881 274508 303258 411762 606516 657059 823524 1272239 1314118 1971177 2544478 2628236 3816717 3942354 5088956 7633434 7884708 12180863 15266868 16539107 24361726 33078214 36542589 48723452 49617321 66156428 73085178 99234642 146170356 158351219 198469284 266816497 316702438 475053657 533632994 633404876 800449491 950107314 1067265988 1600898982 1900214628 3201797964 3468614461 6937228922 10405843383 13874457844 20811686766 41623373532 64302775777 128605551554 192908327331 257211103108 385816654662 771633309324 835936085101 1671872170202 2507808255303 3343744340404 5015616510606 10031233021212