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102400033141 = 753276010871
BaseRepresentation
bin101111101011110000…
…1001000000101110101
3100210022102201122210001
41133113201020011311
53134203402030031
6115013020031301
710253365630450
oct1372741100565
9323272648701
10102400033141
113a47817056a
1217a19692531
13986bb0a4b3
144d55acc497
1529e4cba861
hex17d7848175

102400033141 has 8 divisors (see below), whose sum is σ = 119236696704. Its totient is φ = 86115391440.

The previous prime is 102400033139. The next prime is 102400033147. The reversal of 102400033141 is 141330004201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102400033141 - 21 = 102400033139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400033147) 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 7 ways as a sum of consecutive naturals, for example, 138005065 + ... + 138005806.

It is an arithmetic number, because the mean of its divisors is an integer number (14904587088).

Almost surely, 2102400033141 is an apocalyptic number.

It is an amenable number.

102400033141 is a deficient number, since it is larger than the sum of its proper divisors (16836663563).

102400033141 is an equidigital number, since it uses as much as digits as its factorization.

102400033141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276010931.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102400033141 its reverse (141330004201), we get a palindrome (243730037342).

The spelling of 102400033141 in words is "one hundred two billion, four hundred million, thirty-three thousand, one hundred forty-one".

Divisors: 1 7 53 371 276010871 1932076097 14628576163 102400033141