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102040201461 = 31119162743543
BaseRepresentation
bin101111100001000010…
…0011110100011110101
3100202101100122022111210
41133002010132203311
53132434242421321
6114513203352033
710241436254502
oct1370204364365
9322340568453
10102040201461
113a303040710
1217939082619
1398123c1243
144d1ddc24a9
1529c33ddb76
hex17c211e8f5

102040201461 has 16 divisors (see below), whose sum is σ = 156233802240. Its totient is φ = 58587675120.

The previous prime is 102040201421. The next prime is 102040201511. The reversal of 102040201461 is 164102040201.

It is a happy number.

It is not a de Polignac number, because 102040201461 - 211 = 102040199413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102040201421) 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 15 ways as a sum of consecutive naturals, for example, 81371145 + ... + 81372398.

It is an arithmetic number, because the mean of its divisors is an integer number (9764612640).

Almost surely, 2102040201461 is an apocalyptic number.

102040201461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102040201461 is a deficient number, since it is larger than the sum of its proper divisors (54193600779).

102040201461 is a wasteful number, since it uses less digits than its factorization.

102040201461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162743576.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102040201461 its reverse (164102040201), we get a palindrome (266142241662).

The spelling of 102040201461 in words is "one hundred two billion, forty million, two hundred one thousand, four hundred sixty-one".

Divisors: 1 3 11 19 33 57 209 627 162743543 488230629 1790178973 3092127317 5370536919 9276381951 34013400487 102040201461