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1200214240029 = 327127859174631
BaseRepresentation
bin10001011101110010010…
…101111110101100011101
311020201221222211122001100
4101131302111332230131
5124131014321140104
62315212032303313
7152466266466360
oct21356225765435
94221858748040
101200214240029
1142300a715872
121747393a1b39
1389244ab975c
144213ab760d7
1521348909139
hex1177257eb1d

1200214240029 has 48 divisors (see below), whose sum is σ = 1999243018240. Its totient is φ = 679640401440.

The previous prime is 1200214240003. The next prime is 1200214240037. The reversal of 1200214240029 is 9200424120021.

1200214240029 is a `hidden beast` number, since 1 + 20 + 0 + 214 + 2 + 400 + 29 = 666.

It is not a de Polignac number, because 1200214240029 - 27 = 1200214239901 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1200214239984 and 1200214240011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200213240029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6785544 + ... + 6960174.

Almost surely, 21200214240029 is an apocalyptic number.

It is an amenable number.

1200214240029 is a deficient number, since it is larger than the sum of its proper divisors (799028778211).

1200214240029 is a wasteful number, since it uses less digits than its factorization.

1200214240029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175630 (or 175627 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1200214240029 in words is "one trillion, two hundred billion, two hundred fourteen million, two hundred forty thousand, twenty-nine".

Divisors: 1 3 7 9 21 63 127 381 859 889 1143 2577 2667 6013 7731 8001 18039 54117 109093 174631 327279 523893 763651 981837 1222417 1571679 2290953 3667251 6872859 11001753 22178137 66534411 150008029 155246959 199603233 450024087 465740877 1050056203 1350072261 1397222631 3150168609 9450505827 19051019683 57153059049 133357137781 171459177147 400071413343 1200214240029