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2931000147 = 352321512
BaseRepresentation
bin1010111010110011…
…1000001101010011
321120021012020100000
42232230320031103
522000314001042
61202501301043
7132430042635
oct25654701523
97507166300
102931000147
111274522879
12699704783
1337930601a
141db3a4a55
151224b474c
hexaeb38353

2931000147 has 54 divisors (see below), whose sum is σ = 4620255276. Its totient is φ = 1856665800.

The previous prime is 2931000091. The next prime is 2931000167. The reversal of 2931000147 is 7410001392.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 2931000147 - 211 = 2930998099 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2931000147.

It is not an unprimeable number, because it can be changed into a prime (2931000167) 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 53 ways as a sum of consecutive naturals, for example, 19410522 + ... + 19410672.

Almost surely, 22931000147 is an apocalyptic number.

2931000147 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2931000147 is a deficient number, since it is larger than the sum of its proper divisors (1689255129).

2931000147 is an frugal number, since it uses more digits than its factorization.

2931000147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 177 counting only the distinct ones).

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

The square root of 2931000147 is about 54138.7120921804. The cubic root of 2931000147 is about 1431.1064752070.

Multiplying 2931000147 by its sum of digits (27), we get a square (79137003969 = 2813132).

2931000147 divided by its sum of digits (27) gives a square (108555561 = 104192).

The spelling of 2931000147 in words is "two billion, nine hundred thirty-one million, one hundred forty-seven", and thus it is an aban number.

Divisors: 1 3 9 23 27 69 81 151 207 243 453 529 621 1359 1587 1863 3473 4077 4761 5589 10419 12231 14283 22801 31257 36693 42849 68403 79879 93771 128547 205209 239637 281313 524423 615627 718911 843939 1573269 1846881 2156733 4719807 5540643 6470199 12061729 14159421 19410597 36185187 42478263 108555561 127434789 325666683 977000049 2931000147