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133112032212324 = 2231115724733259697
BaseRepresentation
bin11110010001000010001111…
…011001010011010101100100
3122110022101102101122121211010
4132101002033121103111210
5114421401420221243244
61151034453504342220
740016012151102354
oct3621021731232544
9573271371577733
10133112032212324
113946054aa62230
1212b1a006314970
135937545627289
1424c292a11ab64
15105c83950beb9
hex79108f653564

133112032212324 has 96 divisors (see below), whose sum is σ = 341003884185216. Its totient is φ = 40078281185280.

The previous prime is 133112032212281. The next prime is 133112032212347. The reversal of 133112032212324 is 423212230211331.

It is a junction number, because it is equal to n+sod(n) for n = 133112032212291 and 133112032212300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512436844 + ... + 512696540.

It is an arithmetic number, because the mean of its divisors is an integer number (3552123793596).

Almost surely, 2133112032212324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133112032212324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170501942092608).

133112032212324 is an abundant number, since it is smaller than the sum of its proper divisors (207891851972892).

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

133112032212324 is a wasteful number, since it uses less digits than its factorization.

133112032212324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284605 (or 284603 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 133112032212324 its reverse (423212230211331), we get a palindrome (556324262423655).

The spelling of 133112032212324 in words is "one hundred thirty-three trillion, one hundred twelve billion, thirty-two million, two hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 314 471 628 942 1727 1884 3454 5181 6908 10362 20724 24733 49466 74199 98932 148398 259697 272063 296796 519394 544126 779091 816189 1038788 1088252 1558182 1632378 2856667 3116364 3264756 3883081 5713334 7766162 8570001 11426668 11649243 15532324 17140002 23298486 34280004 40772429 42713891 46596972 81544858 85427782 122317287 128141673 163089716 170855564 244634574 256283346 448496719 489269148 512566692 896993438 1345490157 1793986876 2690980314 5381960628 6423085901 12846171802 19269257703 25692343604 38538515406 70653944911 77077030812 141307889822 211961834733 282615779644 423923669466 847847338932 1008424486457 2016848972914 3025273459371 4033697945828 6050546918742 11092669351027 12101093837484 22185338702054 33278008053081 44370677404108 66556016106162 133112032212324