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211332020032 = 2672173964061
BaseRepresentation
bin1100010011010001011…
…1101011011101000000
3202012111002110221121001
43010310113223131000
511430301444120112
6241030134341344
721161001350200
oct3046427533500
9665432427531
10211332020032
1181697463611
1234b5a7ba854
1316c0bc75b83
14a32b0dc400
15576d249c57
hex31345eb740

211332020032 has 84 divisors (see below), whose sum is σ = 516525206724. Its totient is φ = 85243146240.

The previous prime is 211332019991. The next prime is 211332020059. The reversal of 211332020032 is 230020233112.

It can be written as a sum of positive squares in 2 ways, for example, as 121873602816 + 89458417216 = 349104^2 + 299096^2 .

It is a super-2 number, since 2×2113320200322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211332019991 and 211332020009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1928719 + ... + 2035342.

Almost surely, 2211332020032 is an apocalyptic number.

It is an amenable number.

211332020032 is an abundant number, since it is smaller than the sum of its proper divisors (305193186692).

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

211332020032 is a wasteful number, since it uses less digits than its factorization.

211332020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964104 (or 3964087 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 211332020032 its reverse (230020233112), we get a palindrome (441352253144).

The spelling of 211332020032 in words is "two hundred eleven billion, three hundred thirty-two million, twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 392 448 476 544 784 833 952 1088 1568 1666 1904 3136 3332 3808 6664 7616 13328 26656 53312 3964061 7928122 15856244 27748427 31712488 55496854 63424976 67389037 110993708 126849952 134778074 194238989 221987416 253699904 269556148 388477978 443974832 471723259 539112296 776955956 887949664 943446518 1078224592 1553911912 1775899328 1886893036 2156449184 3107823824 3302062813 3773786072 4312898368 6215647648 6604125626 7547572144 12431295296 13208251252 15095144288 26416502504 30190288576 52833005008 105666010016 211332020032