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1070166301 = 53181281397
BaseRepresentation
bin111111110010010…
…111000100011101
32202120201002011221
4333302113010131
54142430310201
6254105213341
735343156241
oct7762270435
92676632157
101070166301
114aa098866
1225a491251
131409365c9
14a21b4421
1563e414a1
hex3fc9711d

1070166301 has 16 divisors (see below), whose sum is σ = 1103055408. Its totient is φ = 1037836800.

The previous prime is 1070166299. The next prime is 1070166343. The reversal of 1070166301 is 1036610701.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2576025 + 1067590276 = 1605^2 + 32674^2 .

It is a cyclic number.

It is not a de Polignac number, because 1070166301 - 21 = 1070166299 is a prime.

It is a super-4 number, since 4×10701663014 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070166001) 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, 2695435 + ... + 2695831.

It is an arithmetic number, because the mean of its divisors is an integer number (68940963).

Almost surely, 21070166301 is an apocalyptic number.

It is an amenable number.

1070166301 is a deficient number, since it is larger than the sum of its proper divisors (32889107).

1070166301 is a wasteful number, since it uses less digits than its factorization.

1070166301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 1070166301 is about 32713.3963537875. The cubic root of 1070166301 is about 1022.8621078658.

The spelling of 1070166301 in words is "one billion, seventy million, one hundred sixty-six thousand, three hundred one".

Divisors: 1 53 181 281 397 9593 14893 21041 50861 71857 111557 2695633 3808421 5912521 20191817 1070166301