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10310431212 = 22324117773931
BaseRepresentation
bin10011001101000110…
…01011000111101100
3222121112220011200200
421212203023013230
5132103432244322
64423032153500
7513334135134
oct114643130754
928545804620
1010310431212
114410a73634
121bb8b38890
13c840cb193
146db48dac4
1540527c8ac
hex2668cb1ec

10310431212 has 72 divisors (see below), whose sum is σ = 26719968912. Its totient is φ = 3350246400.

The previous prime is 10310431169. The next prime is 10310431247. The reversal of 10310431212 is 21213401301.

10310431212 is a `hidden beast` number, since 10 + 3 + 10 + 431 + 212 = 666.

10310431212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2620887 + ... + 2624817.

Almost surely, 210310431212 is an apocalyptic number.

10310431212 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 10310431212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359984456).

10310431212 is an abundant number, since it is smaller than the sum of its proper divisors (16409537700).

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

10310431212 is a wasteful number, since it uses less digits than its factorization.

10310431212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5754 counting only the distinct ones).

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

Adding to 10310431212 its reverse (21213401301), we get a palindrome (31523832513).

The spelling of 10310431212 in words is "ten billion, three hundred ten million, four hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1777 3554 3931 5331 7108 7862 10662 11793 15724 15993 21324 23586 31986 35379 47172 63972 70758 72857 141516 145714 161171 218571 291428 322342 437142 483513 644684 655713 874284 967026 1311426 1450539 1934052 2622852 2901078 5802156 6985387 13970774 20956161 27941548 41912322 62868483 83824644 125736966 251473932 286400867 572801734 859202601 1145603468 1718405202 2577607803 3436810404 5155215606 10310431212