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11332212323432 = 23711138297170557
BaseRepresentation
bin1010010011100111110001…
…1111010111010001101000
31111010100102100202021122112
42210321330133113101220
52441131332323322212
640033540234341452
72246503533301250
oct244717437272150
944110370667575
1011332212323432
113679a67476610
121330312b8a888
13642813a72670
142b26a688a960
15149b9bce5422
hexa4e7c7d7468

11332212323432 has 128 divisors (see below), whose sum is σ = 28532252125440. Its totient is φ = 4075005818880.

The previous prime is 11332212323429. The next prime is 11332212323449. The reversal of 11332212323432 is 23432321223311.

It is a super-2 number, since 2×113322123234322 (a number of 27 digits) contains 22 as substring.

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, 66357098 + ... + 66527654.

It is an arithmetic number, because the mean of its divisors is an integer number (222908219730).

Almost surely, 211332212323432 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 11332212323432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266126062720).

11332212323432 is an abundant number, since it is smaller than the sum of its proper divisors (17200039802008).

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

11332212323432 is a wasteful number, since it uses less digits than its factorization.

11332212323432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178891 (or 178887 counting only the distinct ones).

The product of its digits is 31104, while the sum is 32.

Adding to 11332212323432 its reverse (23432321223311), we get a palindrome (34764533546743).

The spelling of 11332212323432 in words is "eleven trillion, three hundred thirty-two billion, two hundred twelve million, three hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 8297 16594 33188 58079 66376 91267 107861 116158 170557 182534 215722 232316 341114 365068 431444 464632 638869 682228 730136 755027 862888 1186471 1193899 1277738 1364456 1510054 1876127 2217241 2372942 2387798 2555476 3020108 3752254 4434482 4745884 4775596 5110952 6040216 7504508 8305297 8868964 9491768 9551192 13132889 15009016 15520687 16610594 17737928 24389651 26265778 31041374 33221188 48779302 52531556 62082748 66442376 97558604 105063112 124165496 170727557 195117208 341455114 682910228 1365820456 1415111429 2830222858 5660445716 9905780003 11320891432 15566225719 18396448577 19811560006 31132451438 36792897154 39623120012 62264902876 73585794308 79246240024 108963580033 124529805752 128775140039 147171588616 202360934347 217927160066 257550280078 404721868694 435854320132 515100560156 809443737388 871708640264 1030201120312 1416526540429 1618887474776 2833053080858 5666106161716 11332212323432