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1307631141 = 332911314779
BaseRepresentation
bin100110111110000…
…1101111000100101
310101010112112201000
41031330031320211
510134223144031
6333431023513
744255452455
oct11574157045
93333475630
101307631141
1161113a6a3
12305b0ab99
1317abaa54b
14c5949d65
1579beb3e6
hex4df0de25

1307631141 has 32 divisors (see below), whose sum is σ = 2021904000. Its totient is φ = 834188544.

The previous prime is 1307631139. The next prime is 1307631173. The reversal of 1307631141 is 1411367031.

1307631141 is a `hidden beast` number, since 1 + 307 + 6 + 311 + 41 = 666.

It is not a de Polignac number, because 1307631141 - 21 = 1307631139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307631131) 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 31 ways as a sum of consecutive naturals, for example, 81090 + ... + 95868.

It is an arithmetic number, because the mean of its divisors is an integer number (63184500).

Almost surely, 21307631141 is an apocalyptic number.

It is an amenable number.

1307631141 is a deficient number, since it is larger than the sum of its proper divisors (714272859).

1307631141 is a wasteful number, since it uses less digits than its factorization.

1307631141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14930 (or 14924 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1307631141 is about 36161.1827931554. The cubic root of 1307631141 is about 1093.5242495671.

Adding to 1307631141 its reverse (1411367031), we get a palindrome (2718998172).

The spelling of 1307631141 in words is "one billion, three hundred seven million, six hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 9 27 29 87 113 261 339 783 1017 3051 3277 9831 14779 29493 44337 88479 133011 399033 428591 1285773 1670027 3857319 5010081 11571957 15030243 45090729 48430783 145292349 435877047 1307631141