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10214302123424 = 257237176060089
BaseRepresentation
bin1001010010100011001111…
…0110011000010110100000
31100011110220021111002022202
42110220303312120112200
52314322342320422144
633420215143152332
72102646633342200
oct224506366302640
940143807432282
1010214302123424
113288952298233
12118b7251456a8
13591287548a09
14274536890400
1512aa6dcc864e
hex94a33d985a0

10214302123424 has 72 divisors (see below), whose sum is σ = 24024807761220. Its totient is φ = 4259245648896.

The previous prime is 10214302123397. The next prime is 10214302123453. The reversal of 10214302123424 is 42432120341201.

It can be written as a sum of positive squares in 2 ways, for example, as 10114104551824 + 100197571600 = 3180268^2 + 316540^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87972029 + ... + 88088060.

Almost surely, 210214302123424 is an apocalyptic number.

10214302123424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10214302123424 is an abundant number, since it is smaller than the sum of its proper divisors (13810505637796).

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

10214302123424 is a wasteful number, since it uses less digits than its factorization.

10214302123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176060150 (or 176060135 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10214302123424 its reverse (42432120341201), we get a palindrome (52646422464625).

The spelling of 10214302123424 in words is "ten trillion, two hundred fourteen billion, three hundred two million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 224 259 296 392 518 592 784 1036 1184 1568 1813 2072 3626 4144 7252 8288 14504 29008 58016 176060089 352120178 704240356 1232420623 1408480712 2464841246 2816961424 4929682492 5633922848 6514223293 8626944361 9859364984 13028446586 17253888722 19718729968 26056893172 34507777444 39437459936 45599563051 52113786344 69015554888 91199126102 104227572688 138031109776 182398252204 208455145376 276062219552 319196941357 364796504408 638393882714 729593008816 1276787765428 1459186017632 2553575530856 5107151061712 10214302123424