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13189270122 = 233722925927
BaseRepresentation
bin11000100100010010…
…00100101001101010
31021001011221100021000
430102021010221222
5204002423120442
610020431455430
7644561642400
oct142211045152
937034840230
1013189270122
115658aa9946
122681087576
131322670162
148d1957470
15522d8bd4c
hex312244a6a

13189270122 has 144 divisors (see below), whose sum is σ = 35316889920. Its totient is φ = 3637805472.

The previous prime is 13189270117. The next prime is 13189270169. The reversal of 13189270122 is 22107298131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2222323 + ... + 2228249.

It is an arithmetic number, because the mean of its divisors is an integer number (245256180).

Almost surely, 213189270122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13189270122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658444960).

13189270122 is an abundant number, since it is smaller than the sum of its proper divisors (22127619798).

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

13189270122 is a wasteful number, since it uses less digits than its factorization.

13189270122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 13189270122 in words is "thirteen billion, one hundred eighty-nine million, two hundred seventy thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 87 98 126 147 174 189 203 261 294 378 406 441 522 609 783 841 882 1218 1323 1421 1566 1682 1827 2523 2646 2842 3654 4263 5046 5481 5887 5927 7569 8526 10962 11774 11854 12789 15138 17661 17781 22707 25578 35322 35562 38367 41209 41489 45414 52983 53343 76734 82418 82978 105966 106686 123627 124467 158949 160029 171883 247254 248934 290423 317898 320058 343766 370881 373401 515649 580846 741762 746802 871269 1031298 1112643 1120203 1203181 1546947 1742538 2225286 2240406 2406362 2613807 3093894 3609543 4640841 4984607 5227614 7219086 7841421 8422267 9281682 9969214 10828629 14953821 15682842 16844534 21657258 25266801 29907642 32485887 34892249 44861463 50533602 64971774 69784498 75800403 89722926 104676747 134584389 151600806 209353494 227401209 244245743 269168778 314030241 454802418 488491486 628060482 732737229 942090723 1465474458 1884181446 2198211687 4396423374 6594635061 13189270122