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1015145145 = 325729111127
BaseRepresentation
bin111100100000011…
…110001010111001
32121202011201100100
4330200132022321
54034334121040
6244422030013
734104406560
oct7440361271
92552151310
101015145145
11481028633
12243b78309
13132410901
1498b70bd7
155e1c3b30
hex3c81e2b9

1015145145 has 48 divisors (see below), whose sum is σ = 2080316160. Its totient is φ = 448060032.

The previous prime is 1015145119. The next prime is 1015145171. The reversal of 1015145145 is 5415415101.

1015145145 is a `hidden beast` number, since 1 + 0 + 1 + 514 + 5 + 145 = 666.

1015145145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1015145119) and next prime (1015145171).

It is not a de Polignac number, because 1015145145 - 25 = 1015145113 is a prime.

1015145145 is a modest number, since divided by 145145 gives 1015 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46429 + ... + 64698.

It is an arithmetic number, because the mean of its divisors is an integer number (43339920).

Almost surely, 21015145145 is an apocalyptic number.

1015145145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1015145145 is an abundant number, since it is smaller than the sum of its proper divisors (1065171015).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1015145145 is a wasteful number, since it uses less digits than its factorization.

1015145145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111174 (or 111171 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 1015145145 is about 31861.3424858401. The cubic root of 1015145145 is about 1005.0231078076.

The spelling of 1015145145 in words is "one billion, fifteen million, one hundred forty-five thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1827 3045 9135 111127 333381 555635 777889 1000143 1666905 2333667 3222683 3889445 5000715 7001001 9668049 11668335 16113415 22558781 29004147 35005005 48340245 67676343 112793905 145020735 203029029 338381715 1015145145