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212143411020032 = 28953910995461
BaseRepresentation
bin110000001111000101111100…
…101001111100000100000000
31000211010201020001211210221022
4300033011330221330010000
5210301224201210120112
62031105200531245012
762453566330022252
oct6017057451740400
91024121201753838
10212143411020032
1161660573a54108
121b962993149768
13914b0651244ab
143a55b1dc69cd2
15197d50c3b3d72
hexc0f17ca7c100

212143411020032 has 72 divisors (see below), whose sum is σ = 423953456797080. Its totient is φ = 105947660206080.

The previous prime is 212143411020007. The next prime is 212143411020137. The reversal of 212143411020032 is 230020114341212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9169365385216 + 202974045634816 = 3028096^2 + 14246896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212143411019983 and 212143411020010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2222256782 + ... + 2222352242.

It is an arithmetic number, because the mean of its divisors is an integer number (5888242455515).

Almost surely, 2212143411020032 is an apocalyptic number.

It is an amenable number.

212143411020032 is a deficient number, since it is larger than the sum of its proper divisors (211810045777048).

212143411020032 is an frugal number, since it uses more digits than its factorization.

212143411020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105539 (or 105525 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 212143411020032 its reverse (230020114341212), we get a palindrome (442163525361244).

The spelling of 212143411020032 in words is "two hundred twelve trillion, one hundred forty-three billion, four hundred eleven million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 953 1906 3812 7624 9109 15248 18218 30496 36436 60992 72872 95461 121984 145744 190922 243968 291488 381844 582976 763688 1165952 1527376 2331904 3054752 6109504 8680877 12219008 17361754 24438016 34723508 69447016 90974333 138894032 181948666 277788064 363897332 555576128 727794664 869554249 1111152256 1455589328 1739108498 2222304512 2911178656 3478216996 5822357312 6956433992 11644714624 13912867984 23289429248 27825735968 55651471936 111302943872 222605887744 828685199297 1657370398594 3314740797188 6629481594376 13258963188752 26517926377504 53035852755008 106071705510016 212143411020032