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1007143001 = 29611493821
BaseRepresentation
bin111100000001111…
…100100001011001
32121012010011110122
4330001330201121
54030312034001
6243534323025
733646400654
oct7401744131
92535104418
101007143001
11477562497
12241359475
1313086b507
1497a8a89b
155d642b1b
hex3c07c859

1007143001 has 16 divisors (see below), whose sum is σ = 1066338000. Its totient is φ = 949804800.

The previous prime is 1007142991. The next prime is 1007143003. The reversal of 1007143001 is 1003417001.

It can be written as a sum of positive squares in 8 ways, for example, as 75672601 + 931470400 = 8699^2 + 30520^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007143001 - 222 = 1002948697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007143003) 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, 261671 + ... + 265491.

It is an arithmetic number, because the mean of its divisors is an integer number (66646125).

Almost surely, 21007143001 is an apocalyptic number.

It is an amenable number.

1007143001 is a deficient number, since it is larger than the sum of its proper divisors (59194999).

1007143001 is a wasteful number, since it uses less digits than its factorization.

1007143001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 1007143001 is about 31735.5163972481. The cubic root of 1007143001 is about 1002.3753535613.

The spelling of 1007143001 in words is "one billion, seven million, one hundred forty-three thousand, one".

Divisors: 1 29 61 149 1769 3821 4321 9089 110809 233081 263581 569329 6759349 16510541 34729069 1007143001