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132021123345224 = 231741229103391581
BaseRepresentation
bin11110000001001010010000…
…001010001110101101001000
3122022110002121002011020221022
4132001022100022032231020
5114301013230034021344
61144441400005332012
736544132336530431
oct3601122012165510
9568402532136838
10132021123345224
113907a931387a13
12129826b3107008
135888700159aa9
142485bdc1cc488
15103e28bc3a0ee
hex78129028eb48

132021123345224 has 64 divisors (see below), whose sum is σ = 269665924172400. Its totient is φ = 60347597414400.

The previous prime is 132021123345103. The next prime is 132021123345239. The reversal of 132021123345224 is 422543321120231.

It can be written as a sum of positive squares in 8 ways, for example, as 76646838213124 + 55374285132100 = 8754818^2 + 7441390^2 .

It is a super-2 number, since 2×1320211233452242 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50418887 + ... + 52972694.

Almost surely, 2132021123345224 is an apocalyptic number.

It is an amenable number.

132021123345224 is an abundant number, since it is smaller than the sum of its proper divisors (137644800827176).

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

132021123345224 is a wasteful number, since it uses less digits than its factorization.

132021123345224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103391874 (or 103391870 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 132021123345224 its reverse (422543321120231), we get a palindrome (554564444465455).

The spelling of 132021123345224 in words is "one hundred thirty-two trillion, twenty-one billion, one hundred twenty-three million, three hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 17 34 41 68 82 136 164 229 328 458 697 916 1394 1832 2788 3893 5576 7786 9389 15572 18778 31144 37556 75112 159613 319226 638452 1276904 103391581 206783162 413566324 827132648 1757656877 3515313754 4239054821 7030627508 8478109642 14061255016 16956219284 23676672049 33912438568 47353344098 72063931957 94706688196 144127863914 189413376392 288255727828 402503424833 576511455656 805006849666 970743554009 1610013699332 1941487108018 3220027398664 3882974216036 7765948432072 16502640418153 33005280836306 66010561672612 132021123345224