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10211103342 = 23211371393817
BaseRepresentation
bin10011000001010000…
…10001001001101110
3222100121222210110200
421200220101021232
5131403020301332
64405123214330
7511016642406
oct114050211156
928317883420
1010211103342
11436a9a1090
121b8b8173a6
13c696615ab
146cc1d5806
153eb6ac17c
hex260a1126e

10211103342 has 48 divisors (see below), whose sum is σ = 24787659312. Its totient is φ = 3010642560.

The previous prime is 10211103307. The next prime is 10211103349. The reversal of 10211103342 is 24330111201.

10211103342 is a `hidden beast` number, since 10 + 211 + 103 + 342 = 666.

It is a super-2 number, since 2×102111033422 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211103349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689583 + ... + 704234.

It is an arithmetic number, because the mean of its divisors is an integer number (516409569).

Almost surely, 210211103342 is an apocalyptic number.

10211103342 is an abundant number, since it is smaller than the sum of its proper divisors (14576555970).

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

10211103342 is a wasteful number, since it uses less digits than its factorization.

10211103342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393873 (or 1393870 counting only the distinct ones).

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

Adding to 10211103342 its reverse (24330111201), we get a palindrome (34541214543).

The spelling of 10211103342 in words is "ten billion, two hundred eleven million, one hundred three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 1393817 2787634 4181451 8362902 12544353 15331987 25088706 30663974 45995961 51571229 91991922 103142458 137987883 154713687 275975766 309427374 464141061 567283519 928282122 1134567038 1701850557 3403701114 5105551671 10211103342