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10034443122 = 23112101281487
BaseRepresentation
bin10010101100001100…
…10111001101110010
3221220022120112012120
421112012113031302
5131022304134442
64335412535110
7503443234134
oct112606271562
927808515176
1010034443122
11428a1aa700
121b40621496
13c3bb89912
146b296b054
153dae134ec
hex256197372

10034443122 has 96 divisors (see below), whose sum is σ = 22402783872. Its totient is φ = 2993760000.

The previous prime is 10034443117. The next prime is 10034443123. The reversal of 10034443122 is 22134443001.

10034443122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10034443092 and 10034443101.

It is not an unprimeable number, because it can be changed into a prime (10034443123) 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, 20604363 + ... + 20604849.

It is an arithmetic number, because the mean of its divisors is an integer number (233362332).

Almost surely, 210034443122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034443122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201391936).

10034443122 is an abundant number, since it is smaller than the sum of its proper divisors (12368340750).

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

10034443122 is a wasteful number, since it uses less digits than its factorization.

10034443122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10034443122 its reverse (22134443001), we get a palindrome (32168886123).

The spelling of 10034443122 in words is "ten billion, thirty-four million, four hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 281 303 363 487 562 606 726 843 974 1111 1461 1686 2222 2922 3091 3333 5357 6182 6666 9273 10714 12221 16071 18546 24442 28381 32142 34001 36663 49187 56762 58927 68002 73326 85143 98374 102003 117854 136847 147561 170286 176781 204006 273694 295122 312191 353562 410541 541057 624382 821082 936573 1082114 1505317 1623171 1873146 3010634 3246342 3434101 4515951 5951627 6868202 9031902 10302303 11903254 13821547 16558487 17854881 20604606 27643094 33116974 35709762 41464641 49675461 82929282 99350922 152037017 304074034 456111051 912222102 1672407187 3344814374 5017221561 10034443122