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102011354001 = 3245724802177
BaseRepresentation
bin101111100000001011…
…0011011101110010001
3100202022100100201020100
41133000112123232101
53132404401312001
6114510253203013
710240636126224
oct1370026335621
9322270321210
10102011354001
113a298828137
121792b490469
139809430a3b
144d1a2335bb
1529c0ae1586
hex17c059bb91

102011354001 has 12 divisors (see below), whose sum is σ = 147672167812. Its totient is φ = 67858753536.

The previous prime is 102011353993. The next prime is 102011354023. The reversal of 102011354001 is 100453110201.

102011354001 is a `hidden beast` number, since 10 + 2 + 0 + 113 + 540 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38809394001 + 63201960000 = 197001^2 + 251400^2 .

It is not a de Polignac number, because 102011354001 - 23 = 102011353993 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102011154001) by changing a digit.

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, 12396976 + ... + 12405201.

Almost surely, 2102011354001 is an apocalyptic number.

It is an amenable number.

102011354001 is a deficient number, since it is larger than the sum of its proper divisors (45660813811).

102011354001 is a wasteful number, since it uses less digits than its factorization.

102011354001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24802640 (or 24802637 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 102011354001 its reverse (100453110201), we get a palindrome (202464464202).

The spelling of 102011354001 in words is "one hundred two billion, eleven million, three hundred fifty-four thousand, one".

Divisors: 1 3 9 457 1371 4113 24802177 74406531 223219593 11334594889 34003784667 102011354001