Search a number
-
+
43321320311031 = 38723283144917
BaseRepresentation
bin10011101100110100001111…
…11010001000100011110111
312200101110220022001100000000
421312122013322020203313
521134234030444423111
6232045312333122343
712060601462633410
oct1166320772104367
9180343808040000
1043321320311031
1112892517a27304
124a37b666293b3
131b2324bccaa09
14a9aa97cc6807
15501d4873dc56
hex276687e888f7

43321320311031 has 144 divisors (see below), whose sum is σ = 77764454936064. Its totient is φ = 23594900826816.

The previous prime is 43321320311029. The next prime is 43321320311063. The reversal of 43321320311031 is 13011302312334.

43321320311031 is a `hidden beast` number, since 4 + 3 + 3 + 21 + 320 + 311 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 43321320311031 - 21 = 43321320311029 is a prime.

It is a super-2 number, since 2×433213203110312 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 43321320310986 and 43321320311004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43321320311231) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 298866385 + ... + 299011301.

It is an arithmetic number, because the mean of its divisors is an integer number (540030937056).

Almost surely, 243321320311031 is an apocalyptic number.

43321320311031 is a deficient number, since it is larger than the sum of its proper divisors (34443134625033).

43321320311031 is an equidigital number, since it uses as much as digits as its factorization.

43321320311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145254 (or 145233 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 43321320311031 its reverse (13011302312334), we get a palindrome (56332622623365).

The spelling of 43321320311031 in words is "forty-three trillion, three hundred twenty-one billion, three hundred twenty million, three hundred eleven thousand, thirty-one".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 243 283 483 567 621 729 849 1449 1701 1863 1981 2187 2547 4347 5103 5589 5943 6509 6561 7641 13041 15309 16767 17829 19527 22923 39123 45563 45927 50301 53487 58581 68769 117369 136689 144917 150903 160461 175743 206307 352107 410067 434751 481383 527229 618921 1014419 1056321 1230201 1304253 1444149 1581687 1856763 3043257 3333091 3690603 3912759 4332447 4745061 9129771 9999273 11071809 11738277 12997341 14235183 23331637 27389313 29997819 33215427 35214831 41011511 42705549 69994911 82167939 89993457 99646281 105644493 123034533 209984733 246503817 269980371 287080577 298938843 316933479 369103599 629954199 739511451 809941113 861241731 943264753 950800437 1107310797 1889862597 2218534353 2429823339 2583725193 2829794259 3321932391 5669587791 6602853271 6655603059 7289470017 7751175579 8489382777 9965797173 17008763373 19808559813 21868410051 23253526737 25468148331 29897391519 51026290119 59425679439 69760580211 76404444993 89692174557 153078870357 178277038317 209281740633 229213334979 269076523671 534831114951 627845221899 687640004937 1604493344853 1883535665697 2062920014811 4813480034559 6188760044433 14440440103677 43321320311031