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1007120169 = 33113390977
BaseRepresentation
bin111100000001110…
…110111100101001
32121012002000011000
4330001312330221
54030310321134
6243534025213
733646244256
oct7401667451
92535060130
101007120169
11477547320
12241348209
13130860cc3
1497a8242d
155d63ae99
hex3c076f29

1007120169 has 16 divisors (see below), whose sum is σ = 1627669440. Its totient is φ = 610375680.

The previous prime is 1007120167. The next prime is 1007120197. The reversal of 1007120169 is 9610217001.

It is not a de Polignac number, because 1007120169 - 21 = 1007120167 is a prime.

It is a super-2 number, since 2×10071201692 = 2028582069613177122, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1007120167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695192 + ... + 1695785.

It is an arithmetic number, because the mean of its divisors is an integer number (101729340).

Almost surely, 21007120169 is an apocalyptic number.

It is an amenable number.

1007120169 is a deficient number, since it is larger than the sum of its proper divisors (620549271).

1007120169 is a wasteful number, since it uses less digits than its factorization.

1007120169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390997 (or 3390991 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1007120169 is about 31735.1566720569. The cubic root of 1007120169 is about 1002.3677788650.

The spelling of 1007120169 in words is "one billion, seven million, one hundred twenty thousand, one hundred sixty-nine".

Divisors: 1 3 9 11 27 33 99 297 3390977 10172931 30518793 37300747 91556379 111902241 335706723 1007120169