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10212323121 = 32711133730637
BaseRepresentation
bin10011000001011001…
…11010111100110001
3222100201021202200200
421200230322330301
5131403323314441
64405205305413
7511033212540
oct114054727461
928321252620
1010212323121
114370654570
121b90105269
13c6999a860
146cc432157
153eb84d7b6
hex260b3af31

10212323121 has 96 divisors (see below), whose sum is σ = 20341671168. Its totient is φ = 4764510720.

The previous prime is 10212323119. The next prime is 10212323131. The reversal of 10212323121 is 12132321201.

10212323121 is a `hidden beast` number, since 10 + 212 + 323 + 121 = 666.

10212323121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10212323121 - 21 = 10212323119 is a prime.

It is a super-2 number, since 2×102123231212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10212323094 and 10212323103.

It is not an unprimeable number, because it can be changed into a prime (10212323131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318015 + ... + 348651.

It is an arithmetic number, because the mean of its divisors is an integer number (211892408).

Almost surely, 210212323121 is an apocalyptic number.

10212323121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10212323121 is a deficient number, since it is larger than the sum of its proper divisors (10129348047).

10212323121 is a wasteful number, since it uses less digits than its factorization.

10212323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30711 (or 30708 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10212323121 its reverse (12132321201), we get a palindrome (22344644322).

It can be divided in two parts, 10212 and 323121, that added together give a palindrome (333333).

The spelling of 10212323121 in words is "ten billion, two hundred twelve million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 30637 37037 47619 91911 111111 214459 275733 333333 337007 398281 643377 1011021 1133569 1194843 1930131 2359049 2787967 3033063 3400707 3584529 4381091 7077147 7934983 8363901 10202121 12469259 13143273 14736397 21231441 23804949 25091703 30667637 37407777 39429819 44209191 71414847 87284813 92002911 103154779 112223331 132627573 162100367 261854439 276008733 309464337 486301101 785563317 928393011 1134702569 1458903303 3404107707 10212323121