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133001034412231 = 1719232941109138139
BaseRepresentation
bin11110001111011010110111…
…011010010011000011000111
3122102220202220202201011001001
4132033122313122103003013
5114413042104302142411
61150511455352314131
740005002422262626
oct3617326732230307
9572822822634031
10133001034412231
1139418470661147
1212b005a93a2947
135929c364b061b
1424bb3da5dd6bd
1510599dea19dc1
hex78f6b76930c7

133001034412231 has 128 divisors (see below), whose sum is σ = 165423202560000. Its totient is φ = 105869316833280.

The previous prime is 133001034412189. The next prime is 133001034412243. The reversal of 133001034412231 is 132214430100331.

It is not a de Polignac number, because 133001034412231 - 241 = 130802011156679 is a prime.

It is a super-2 number, since 2×1330010344122312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133001034412231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133001034422231) 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, 962736760 + ... + 962874898.

It is an arithmetic number, because the mean of its divisors is an integer number (1292368770000).

Almost surely, 2133001034412231 is an apocalyptic number.

133001034412231 is a deficient number, since it is larger than the sum of its proper divisors (32422168147769).

133001034412231 is a wasteful number, since it uses less digits than its factorization.

133001034412231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138377.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 133001034412231 its reverse (132214430100331), we get a palindrome (265215464512562).

The spelling of 133001034412231 in words is "one hundred thirty-three trillion, one billion, thirty-four million, four hundred twelve thousand, two hundred thirty-one".

Divisors: 1 17 19 23 29 41 109 323 391 437 493 551 667 697 779 943 1189 1853 2071 2507 3161 4469 7429 9367 11339 12673 13243 16031 17917 20213 22591 27347 35207 42619 47633 53737 60059 72703 75973 84911 102787 129601 138139 215441 304589 384047 464899 519593 809761 1021003 1235951 1381357 1443487 1747379 1952953 2203217 2348363 2462419 2624641 2980823 3177197 4006031 5663699 8833081 15057151 23483069 33200201 41861123 44618897 50673991 54012349 56635637 60366743 68102527 76114589 92138713 96282883 107610281 130265077 164247271 255971567 286085869 346314473 436657379 617343191 962805829 1026234631 1293948013 1566358121 1750635547 1829374777 2214506309 2475036463 2792203607 3120698149 3777687233 4863459773 5887346041 6579974987 7423175443 8296490201 10043119717 10494834247 11729520629 14198893393 17902952539 29760804299 42075619871 53051868533 64220682961 71776057427 111859574779 141040333417 170733035189 190819274623 199401850693 241381187681 269778974467 304350193163 340156098241 411767908397 1220192976259 3243927668591 4586242565939 5782653670097 7000054442749 7823590259543 133001034412231