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1310104422 = 2331117137947
BaseRepresentation
bin100111000010110…
…1001101101100110
310101022012012102000
41032011221231212
510140341320142
6334000030130
744315463264
oct11605515546
93338165360
101310104422
11612579930
12306902346
1317b565223
14c5dd1434
157a03914c
hex4e169b66

1310104422 has 128 divisors (see below), whose sum is σ = 3390958080. Its totient is φ = 370529280.

The previous prime is 1310104421. The next prime is 1310104429. The reversal of 1310104422 is 2244010131.

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 = 1310104395 and 1310104404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310104421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1382953 + ... + 1383899.

It is an arithmetic number, because the mean of its divisors is an integer number (26491860).

Almost surely, 21310104422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310104422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695479040).

1310104422 is an abundant number, since it is smaller than the sum of its proper divisors (2080853658).

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

1310104422 is a wasteful number, since it uses less digits than its factorization.

1310104422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

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

The square root of 1310104422 is about 36195.3646479767. The cubic root of 1310104422 is about 1094.2132535938.

Adding to 1310104422 its reverse (2244010131), we get a palindrome (3554114553).

The spelling of 1310104422 in words is "one billion, three hundred ten million, one hundred four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 137 153 187 198 274 297 306 374 411 459 561 594 822 918 947 1122 1233 1507 1683 1894 2329 2466 2841 3014 3366 3699 4521 4658 5049 5682 6987 7398 8523 9042 10098 10417 13563 13974 16099 17046 20834 20961 25569 25619 27126 31251 32198 40689 41922 48297 51138 51238 62502 62883 76857 81378 93753 96594 125766 129739 144891 153714 177089 187506 230571 259478 281259 289782 354178 389217 434673 461142 531267 562518 691713 778434 869346 1062534 1167651 1383426 1427129 1593801 2205563 2335302 2854258 3187602 3502953 4281387 4411126 4781403 6616689 7005906 8562774 9562806 12844161 13233378 19850067 24261193 25688322 38532483 39700134 48522386 59550201 72783579 77064966 119100402 145567158 218350737 436701474 655052211 1310104422