Search a number
-
+
4344122101011 = 37112310114235689
BaseRepresentation
bin111111001101110001110…
…110101100110100010011
3120101021221100010200201120
4333031301312230310103
51032133230224213021
613123355004533323
7625565252414460
oct77156166546423
916337840120646
104344122101011
111425371747460
125a1b05851243
132568589ac604
141103842a8667
1578001e942c6
hex3f371dacd13

4344122101011 has 128 divisors (see below), whose sum is σ = 7616665681920. Its totient is φ = 2135320704000.

The previous prime is 4344122100991. The next prime is 4344122101073. The reversal of 4344122101011 is 1101012214434.

It is a happy number.

It is not a de Polignac number, because 4344122101011 - 27 = 4344122100883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4344122101091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 763597455 + ... + 763603143.

It is an arithmetic number, because the mean of its divisors is an integer number (59505200640).

Almost surely, 24344122101011 is an apocalyptic number.

4344122101011 is a deficient number, since it is larger than the sum of its proper divisors (3272543580909).

4344122101011 is a wasteful number, since it uses less digits than its factorization.

4344122101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7257.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 4344122101011 its reverse (1101012214434), we get a palindrome (5445134315445).

The spelling of 4344122101011 in words is "four trillion, three hundred forty-four billion, one hundred twenty-two million, one hundred one thousand, eleven".

Divisors: 1 3 7 11 21 23 33 69 77 101 161 231 253 303 483 707 759 1111 1423 1771 2121 2323 3333 4269 5313 5689 6969 7777 9961 15653 16261 17067 23331 25553 29883 32729 39823 46959 48783 62579 76659 98187 109571 119469 130847 143723 178871 187737 229103 328713 360019 392541 431169 438053 536613 574589 687309 915929 1006061 1080057 1314159 1439317 1580953 1723767 2520133 2747787 3018183 3305629 4022123 4317951 4742859 6320479 7560399 8095447 9916887 10075219 11066671 12066369 13215547 18961437 23139403 24286341 30225657 33200013 36361919 39646641 44243353 56668129 69418209 89049917 92508829 109085757 132730059 145371017 170004387 186195281 254533433 267149751 277526487 436113051 558585843 623349419 763600299 817640147 1017597119 1303366967 1870048257 2048148091 2452920441 3052791357 3910100901 5723481029 6144444273 8994041617 14337036637 17170443087 18805723381 26982124851 43011109911 56417170143 62958291319 131640063667 188874873957 206862957191 394920191001 620588871573 1448040700337 4344122101011