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10212321132 = 22331314948817
BaseRepresentation
bin10011000001011001…
…11010011101101100
3222100201021122222000
421200230322131230
5131403323234012
64405205252300
7511033203666
oct114054723554
928321248860
1010212321132
114370653022
121b90104090
13c69999990
146cc431536
153eb84cddc
hex260b3a76c

10212321132 has 96 divisors (see below), whose sum is σ = 28704984000. Its totient is φ = 3121099776.

The previous prime is 10212321037. The next prime is 10212321137. The reversal of 10212321132 is 23112321201.

10212321132 is a `hidden beast` number, since 1 + 0 + 212 + 321 + 132 = 666.

10212321132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102123211322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10212321137) 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 31 ways as a sum of consecutive naturals, for example, 184788 + ... + 233604.

It is an arithmetic number, because the mean of its divisors is an integer number (299010250).

Almost surely, 210212321132 is an apocalyptic number.

10212321132 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 10212321132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14352492000).

10212321132 is an abundant number, since it is smaller than the sum of its proper divisors (18492662868).

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

10212321132 is a wasteful number, since it uses less digits than its factorization.

10212321132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48992 (or 48984 counting only the distinct ones).

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

Adding to 10212321132 its reverse (23112321201), we get a palindrome (33324642333).

The spelling of 10212321132 in words is "ten billion, two hundred twelve million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 149 156 234 298 351 447 468 596 702 894 1341 1404 1788 1937 2682 3874 4023 5364 5811 7748 8046 11622 16092 17433 23244 34866 48817 52299 69732 97634 104598 146451 195268 209196 292902 439353 585804 634621 878706 1269242 1318059 1757412 1903863 2538484 2636118 3807726 5272236 5711589 7273733 7615452 11423178 14547466 17134767 21821199 22846356 29094932 34269534 43642398 65463597 68539068 87284796 94558529 130927194 189117058 196390791 261854388 283675587 378234116 392781582 567351174 785563164 851026761 1134702348 1702053522 2553080283 3404107044 5106160566 10212321132