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1234102122 = 2331123103877
BaseRepresentation
bin100100110001110…
…1110011101101010
310012000011212212000
41021203232131222
510011412231442
6322243031430
742403460241
oct11143563552
93160155760
101234102122
11583689210
122a536b576
131688a4656
14b9c89958
1573524d4c
hex498ee76a

1234102122 has 128 divisors (see below), whose sum is σ = 3155742720. Its totient is φ = 353833920.

The previous prime is 1234102109. The next prime is 1234102123. The reversal of 1234102122 is 2212014321.

It is a happy number.

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 = 1234102095 and 1234102104.

It is not an unprimeable number, because it can be changed into a prime (1234102123) 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 63 ways as a sum of consecutive naturals, for example, 1406748 + ... + 1407624.

It is an arithmetic number, because the mean of its divisors is an integer number (24654240).

Almost surely, 21234102122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577871360).

1234102122 is an abundant number, since it is smaller than the sum of its proper divisors (1921640598).

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

1234102122 is a wasteful number, since it uses less digits than its factorization.

1234102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1234102122 is about 35129.7896663217. The cubic root of 1234102122 is about 1072.6310544531.

Adding to 1234102122 its reverse (2212014321), we get a palindrome (3446116443).

The spelling of 1234102122 in words is "one billion, two hundred thirty-four million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 103 138 198 206 207 253 297 309 414 506 594 618 621 759 877 927 1133 1242 1518 1754 1854 2266 2277 2369 2631 2781 3399 4554 4738 5262 5562 6798 6831 7107 7893 9647 10197 13662 14214 15786 19294 20171 20394 21321 23679 26059 28941 30591 40342 42642 47358 52118 57882 60513 61182 63963 78177 86823 90331 121026 127926 156354 173646 180662 181539 221881 234531 260469 270993 363078 443762 469062 520938 541986 544617 665643 703593 812979 993641 1089234 1331286 1407186 1625958 1987282 1996929 2077613 2438937 2980923 3993858 4155226 4877874 5961846 5990787 6232839 8942769 11981574 12465678 17885538 18698517 22853743 26828307 37397034 45707486 53656614 56095551 68561229 112191102 137122458 205683687 411367374 617051061 1234102122