Search a number
-
+
1322223231114 = 234316111293823
BaseRepresentation
bin10011001111011010101…
…001010110000010001010
311200101220000021120020000
4103033122221112002022
5133130403121343424
62451230532343430
7164345632011552
oct23173251260212
94611800246200
101322223231114
1146a82a5a86a5
12194309a74b76
13978ba278736
1447dd2c38162
15245d9e4b3c9
hex133daa5608a

1322223231114 has 160 divisors (see below), whose sum is σ = 3112036055040. Its totient is φ = 419050195200.

The previous prime is 1322223231103. The next prime is 1322223231139. The reversal of 1322223231114 is 4111323222231.

1322223231114 is a `hidden beast` number, since 1 + 3 + 2 + 222 + 323 + 1 + 114 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 345858207 + ... + 345862029.

It is an arithmetic number, because the mean of its divisors is an integer number (19450225344).

Almost surely, 21322223231114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322223231114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556018027520).

1322223231114 is an abundant number, since it is smaller than the sum of its proper divisors (1789812823926).

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

1322223231114 is a wasteful number, since it uses less digits than its factorization.

1322223231114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5049 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 1322223231114 its reverse (4111323222231), we get a palindrome (5433546453345).

The spelling of 1322223231114 in words is "one trillion, three hundred twenty-two billion, two hundred twenty-three million, two hundred thirty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 61 62 81 93 122 162 183 186 279 366 549 558 837 1098 1129 1647 1674 1891 2258 2511 3294 3387 3782 3823 4941 5022 5673 6774 7646 9882 10161 11346 11469 17019 20322 22938 30483 34038 34407 34999 51057 60966 68814 68869 69998 91449 102114 103221 104997 118513 137738 153171 182898 206442 206607 209994 233203 237026 306342 309663 314991 355539 413214 466406 619326 619821 629982 699609 711078 944973 1066617 1239642 1399218 1859463 1889946 2098827 2133234 2134939 2834919 3199851 3718926 4197654 4269878 4316167 5578389 5669838 6296481 6399702 6404817 7229293 8632334 9599553 11156778 12592962 12809634 12948501 14458586 18889443 19199106 19214451 21687879 25897002 37778886 38428902 38845503 43375758 57643353 65063637 77691006 115286706 116536509 130127274 133801177 172930059 195190911 233073018 263286187 267602354 345860118 349609527 390381822 401403531 526572374 585572733 699219054 789858561 802807062 1171145466 1204210593 1579717122 2369575683 2408421186 3612631779 4739151366 7108727049 7225263558 8161871797 10837895337 14217454098 16323743594 21326181147 21675790674 24485615391 42652362294 48971230782 73456846173 146913692346 220370538519 440741077038 661111615557 1322223231114