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10033140222 = 23371011092411
BaseRepresentation
bin10010101100000010…
…11001000111111110
3221220020010022222000
421112001121013332
5131021440441342
64335325003130
7503426166450
oct112601310776
927806108860
1010033140222
11428949a826
121b400b34a6
13c3b821881
146b270c2d0
153dac5744c
hex2560591fe

10033140222 has 128 divisors (see below), whose sum is σ = 25980134400. Its totient is φ = 2811024000.

The previous prime is 10033140203. The next prime is 10033140241. The reversal of 10033140222 is 22204133001.

10033140222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10033140203) and next prime (10033140241).

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

It is a junction number, because it is equal to n+sod(n) for n = 10033140195 and 10033140204.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4160197 + ... + 4162607.

It is an arithmetic number, because the mean of its divisors is an integer number (202969800).

Almost surely, 210033140222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10033140222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12990067200).

10033140222 is an abundant number, since it is smaller than the sum of its proper divisors (15946994178).

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

10033140222 is a wasteful number, since it uses less digits than its factorization.

10033140222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10033140222 its reverse (22204133001), we get a palindrome (32237273223).

The spelling of 10033140222 in words is "ten billion, thirty-three million, one hundred forty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 109 126 189 202 218 303 327 378 606 654 707 763 909 981 1414 1526 1818 1962 2121 2289 2411 2727 2943 4242 4578 4822 5454 5886 6363 6867 7233 11009 12726 13734 14466 16877 19089 20601 21699 22018 33027 33754 38178 41202 43398 50631 65097 66054 77063 99081 101262 130194 151893 154126 198162 231189 243511 262799 297243 303786 455679 462378 487022 525598 594486 693567 730533 788397 911358 1387134 1461066 1576794 1704577 1839593 2080701 2191599 2365191 3409154 3679186 4161402 4383198 4730382 5113731 5518779 6574797 7095573 10227462 11037558 13149594 14191146 15341193 16556337 26542699 30682386 33112674 46023579 49669011 53085398 79628097 92047158 99338022 159256194 185798893 238884291 371597786 477768582 557396679 716652873 1114793358 1433305746 1672190037 3344380074 5016570111 10033140222