Search a number
-
+
1322010212193 = 321124497273719
BaseRepresentation
bin10011001111001101111…
…100101111011101100001
311200101100011110002012100
4103033031330233131201
5133124434103242233
62451153442521013
7164340434252256
oct23171574573541
94611304402170
101322010212193
1146a730333400
1219426a666169
13978850b3738
1447db282742d
15245c63be813
hex133cdf2f761

1322010212193 has 72 divisors (see below), whose sum is σ = 2107083888000. Its totient is φ = 798119562240.

The previous prime is 1322010212167. The next prime is 1322010212203. The reversal of 1322010212193 is 3912120102231.

It is not a de Polignac number, because 1322010212193 - 28 = 1322010211937 is a prime.

It is a super-2 number, since 2×13220102121932 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1322010216193) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355472788 + ... + 355476506.

It is an arithmetic number, because the mean of its divisors is an integer number (29265054000).

Almost surely, 21322010212193 is an apocalyptic number.

It is an amenable number.

1322010212193 is a deficient number, since it is larger than the sum of its proper divisors (785073675807).

1322010212193 is a wasteful number, since it uses less digits than its factorization.

1322010212193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1322010212193 in words is "one trillion, three hundred twenty-two billion, ten million, two hundred twelve thousand, one hundred ninety-three".

Divisors: 1 3 9 11 33 99 121 363 449 727 1089 1347 2181 3719 4041 4939 6543 7997 11157 14817 23991 33471 40909 44451 54329 71973 87967 122727 162987 263901 326423 368181 449999 488961 791703 979269 1349997 1669831 2703713 2937807 3590653 4049991 5009493 8111139 10771959 15028479 18368141 24333417 29740843 32315877 39497183 55104423 89222529 118491549 165313269 202049551 267667587 327149273 355474647 606148653 981447819 1213967137 1818445959 2944343457 3641901411 10925704233 13353638507 40060915521 120182746563 146890023577 440670070731 1322010212193