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214021130632 = 23409234127941
BaseRepresentation
bin1100011101010010100…
…1110100100110001000
3202110102111111220211221
43013110221310212020
512001303402140012
6242153035331424
721314433410611
oct3072451644610
9673374456757
10214021130632
1182847392171
123558b2b0b74
131724a118c8a
14a5042d8c08
15587937d507
hex31d4a74988

214021130632 has 32 divisors (see below), whose sum is σ = 402457008600. Its totient is φ = 106699507200.

The previous prime is 214021130621. The next prime is 214021130633. The reversal of 214021130632 is 236031120412.

It can be written as a sum of positive squares in 4 ways, for example, as 212718353796 + 1302776836 = 461214^2 + 36094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214021130597 and 214021130606.

It is not an unprimeable number, because it can be changed into a prime (214021130633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7645782 + ... + 7673722.

Almost surely, 2214021130632 is an apocalyptic number.

It is an amenable number.

214021130632 is a deficient number, since it is larger than the sum of its proper divisors (188435877968).

214021130632 is a wasteful number, since it uses less digits than its factorization.

214021130632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30697 (or 30693 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 214021130632 in words is "two hundred fourteen billion, twenty-one million, one hundred thirty thousand, six hundred thirty-two".

Divisors: 1 2 4 8 409 818 1636 2341 3272 4682 9364 18728 27941 55882 111764 223528 957469 1914938 3829876 7659752 11427869 22855738 45711476 65409881 91422952 130819762 261639524 523279048 26752641329 53505282658 107010565316 214021130632