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10213322031 = 32113143193401
BaseRepresentation
bin10011000001100001…
…01110110100101111
3222100210011111221100
421200300232310233
5131404102301111
64405242534143
7511044543033
oct114060566457
928323144840
1010213322031
114371177010
121b90507353
13c69c5a423
146cc6121c3
153eb999756
hex260c2ed2f

10213322031 has 96 divisors (see below), whose sum is σ = 17129908224. Its totient is φ = 5806080000.

The previous prime is 10213322011. The next prime is 10213322057. The reversal of 10213322031 is 13022331201.

10213322031 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 10213322031 - 26 = 10213321967 is a prime.

It is a super-2 number, since 2×102133220312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10213321995 and 10213322013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213322011) 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, 25469431 + ... + 25469831.

It is an arithmetic number, because the mean of its divisors is an integer number (178436544).

Almost surely, 210213322031 is an apocalyptic number.

10213322031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10213322031 is a deficient number, since it is larger than the sum of its proper divisors (6916586193).

10213322031 is a wasteful number, since it uses less digits than its factorization.

10213322031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10213322031 its reverse (13022331201), we get a palindrome (23235653232).

The spelling of 10213322031 in words is "ten billion, two hundred thirteen million, three hundred twenty-two thousand, thirty-one".

Divisors: 1 3 9 11 31 33 43 93 99 129 193 279 341 387 401 473 579 1023 1203 1333 1419 1737 2123 3069 3609 3999 4257 4411 5983 6369 8299 11997 12431 13233 14663 17243 17949 19107 24897 37293 39699 43989 51729 53847 65813 74691 77393 91289 111879 131967 136741 155187 189673 197439 232179 257269 273867 410223 534533 569019 592317 696537 771807 821601 851323 1230669 1603599 1707057 2315421 2399183 2553969 2829959 3327899 4810797 5879863 7197549 7661907 8489877 9983697 17639589 21592647 25469631 26391013 29951091 36606889 52918767 79173039 103164869 109820667 237519117 309494607 329462001 928483821 1134813559 3404440677 10213322031