Search a number
-
+
10223112103212 = 22319261257150533
BaseRepresentation
bin1001010011000100000011…
…1101110010010100101100
31100012022122021000102121110
42110301000331302110230
52314443413144300322
633424233255432020
72103411151052361
oct224610075622454
940168567012543
1010223112103212
1132916632a2468
121191383685610
1359205c8272c8
14274b30960468
1512add746cc0c
hex94c40f7252c

10223112103212 has 144 divisors (see below), whose sum is σ = 25687923805152. Its totient is φ = 3163050639360.

The previous prime is 10223112103187. The next prime is 10223112103219. The reversal of 10223112103212 is 21230121132201.

It is not an unprimeable number, because it can be changed into a prime (10223112103219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67837498 + ... + 67988030.

It is an arithmetic number, because the mean of its divisors is an integer number (178388359758).

Almost surely, 210223112103212 is an apocalyptic number.

10223112103212 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 10223112103212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843961902576).

10223112103212 is an abundant number, since it is smaller than the sum of its proper divisors (15464811701940).

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

10223112103212 is a wasteful number, since it uses less digits than its factorization.

10223112103212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150896 (or 150875 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10223112103212 its reverse (21230121132201), we get a palindrome (31453233235413).

The spelling of 10223112103212 in words is "ten trillion, two hundred twenty-three billion, one hundred twelve million, one hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 228 244 257 361 366 514 722 732 771 1028 1083 1159 1444 1542 2166 2318 3084 3477 4332 4636 4883 6954 9766 13908 14649 15677 19532 22021 29298 31354 44042 47031 58596 62708 66063 88084 92777 94062 132126 150533 185554 188124 264252 278331 297863 301066 371108 451599 556662 595726 602132 893589 903198 1113324 1191452 1787178 1806396 2860127 3574356 5659397 5720254 8580381 9182513 11318794 11440508 16978191 17160762 18365026 22637588 27547539 33956382 34321524 36730052 38686981 54342413 55095078 67912764 77373962 108684826 110190156 116060943 154747924 163027239 174467747 217369652 232121886 326054478 348935494 464243772 523403241 652108956 697870988 735052639 1046806482 1470105278 2093612964 2205157917 2359905841 2940210556 3314887193 4410315834 4719811682 6629774386 7079717523 8820631668 9439623364 9944661579 13259548772 13966000141 14159435046 19889323158 27932000282 28318870092 39778646316 41898000423 44838210979 55864000564 83796000846 89676421958 134514632937 167592001692 179352843916 269029265874 538058531748 851926008601 1703852017202 2555778025803 3407704034404 5111556051606 10223112103212