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12210212110131 = 337236741923619
BaseRepresentation
bin1011000110101110100101…
…0110101111111100110011
31121020021200200020201211000
42301223221112233330303
53100023003300011011
641545143301053043
72400105303324240
oct261535126577463
947207620221730
1012210212110131
11398835a464542
1214525073b7183
136a7558633679
14302d980785c7
15162937ba0356
hexb1ae95aff33

12210212110131 has 64 divisors (see below), whose sum is σ = 21894191308800. Its totient is φ = 6574294080288.

The previous prime is 12210212110127. The next prime is 12210212110139. The reversal of 12210212110131 is 13101121201221.

It is a happy number.

12210212110131 is a `hidden beast` number, since 1 + 2 + 210 + 212 + 110 + 131 = 666.

It is not a de Polignac number, because 12210212110131 - 22 = 12210212110127 is a prime.

It is a super-2 number, since 2×122102121101312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12210212110139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20670561 + ... + 21253058.

It is an arithmetic number, because the mean of its divisors is an integer number (342096739200).

Almost surely, 212210212110131 is an apocalyptic number.

12210212110131 is a deficient number, since it is larger than the sum of its proper divisors (9683979198669).

12210212110131 is a wasteful number, since it uses less digits than its factorization.

12210212110131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41923725 (or 41923719 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12210212110131 its reverse (13101121201221), we get a palindrome (25311333311352).

The spelling of 12210212110131 in words is "twelve trillion, two hundred ten billion, two hundred twelve million, one hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 23 27 63 67 69 161 189 201 207 469 483 603 621 1407 1449 1541 1809 4221 4347 4623 10787 12663 13869 32361 41607 97083 291249 41923619 125770857 293465333 377312571 880395999 964243237 1131937713 2641187997 2808882473 2892729711 6749702659 7923563991 8426647419 8678189133 19662177311 20249107977 25279942257 26034567399 58986531933 60747323931 64604296879 75839826771 176959595799 182241971793 193812890637 452230078153 530878787397 581438671911 1356690234459 1744316015733 4070070703377 12210212110131