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10542213330 = 2351128113581
BaseRepresentation
bin10011101000101110…
…10110100011010010
31000012201000220222120
421310113112203102
5133042301311310
64502032115110
7522150222555
oct116427264322
930181026876
1010542213330
11451a893a00
122062695a96
13cc013266c
1472018669c
1541a7b3b70
hex2745d68d2

10542213330 has 96 divisors (see below), whose sum is σ = 27852600384. Its totient is φ = 2551824000.

The previous prime is 10542213301. The next prime is 10542213337. The reversal of 10542213330 is 3331224501.

10542213330 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 2×105422133302 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10542213330.

It is not an unprimeable number, because it can be changed into a prime (10542213337) 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 47 ways as a sum of consecutive naturals, for example, 2942140 + ... + 2945720.

It is an arithmetic number, because the mean of its divisors is an integer number (290131254).

Almost surely, 210542213330 is an apocalyptic number.

10542213330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10542213330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13926300192).

10542213330 is an abundant number, since it is smaller than the sum of its proper divisors (17310387054).

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

10542213330 is a wasteful number, since it uses less digits than its factorization.

10542213330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 10542213330 its reverse (3331224501), we get a palindrome (13873437831).

The spelling of 10542213330 in words is "ten billion, five hundred forty-two million, two hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 811 1210 1622 1815 2433 3581 3630 4055 4866 7162 8110 8921 10743 12165 17842 17905 21486 24330 26763 35810 39391 44605 53526 53715 78782 89210 98131 107430 118173 133815 196262 196955 236346 267630 294393 393910 433301 490655 588786 590865 866602 981310 1181730 1299903 1471965 2166505 2599806 2904191 2943930 4333010 5808382 6499515 8712573 12999030 14520955 17425146 29041910 31946101 43562865 63892202 87125730 95838303 159730505 191676606 319461010 351407111 479191515 702814222 958383030 1054221333 1757035555 2108442666 3514071110 5271106665 10542213330