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1000106151 = 311291045043
BaseRepresentation
bin111011100111000…
…110100010100111
32120200212122201120
4323213012202213
54022011344101
6243123425023
733532522242
oct7347064247
92520778646
101000106151
11473596610
1223ab25173
1312c2765b5
1496b78259
155cc02b36
hex3b9c68a7

1000106151 has 16 divisors (see below), whose sum is σ = 1504863360. Its totient is φ = 585223520.

The previous prime is 1000106147. The next prime is 1000106167. The reversal of 1000106151 is 1516010001.

It is a cyclic number.

It is not a de Polignac number, because 1000106151 - 22 = 1000106147 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000106151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000106101) 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 15 ways as a sum of consecutive naturals, for example, 521565 + ... + 523478.

It is an arithmetic number, because the mean of its divisors is an integer number (94053960).

Almost surely, 21000106151 is an apocalyptic number.

1000106151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000106151 is a deficient number, since it is larger than the sum of its proper divisors (504757209).

1000106151 is a wasteful number, since it uses less digits than its factorization.

1000106151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045086.

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 1000106151 is about 31624.4549518249. The cubic root of 1000106151 is about 1000.0353824147.

Adding to 1000106151 its reverse (1516010001), we get a palindrome (2516116152).

The spelling of 1000106151 in words is "one billion, one hundred six thousand, one hundred fifty-one".

Divisors: 1 3 11 29 33 87 319 957 1045043 3135129 11495473 30306247 34486419 90918741 333368717 1000106151