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1072122623 = 111328126681
BaseRepresentation
bin111111111001110…
…100101011111111
32202201101110202022
4333321310223333
54143430410443
6254215150355
735365614635
oct7771645377
92681343668
101072122623
11500204660
1225b0753bb
1314116cbb0
14a2563355
15641cae68
hex3fe74aff

1072122623 has 16 divisors (see below), whose sum is σ = 1264086432. Its totient is φ = 896448000.

The previous prime is 1072122617. The next prime is 1072122647. The reversal of 1072122623 is 3262212701.

It is a cyclic number.

It is not a de Polignac number, because 1072122623 - 210 = 1072121599 is a prime.

It is a super-2 number, since 2×10721226232 = 2298893837496800258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1072122592 and 1072122601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072122613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26843 + ... + 53523.

It is an arithmetic number, because the mean of its divisors is an integer number (79005402).

Almost surely, 21072122623 is an apocalyptic number.

1072122623 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1072122623 is a deficient number, since it is larger than the sum of its proper divisors (191963809).

1072122623 is a wasteful number, since it uses less digits than its factorization.

1072122623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26986.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 1072122623 is about 32743.2836319145. The cubic root of 1072122623 is about 1023.4850109100.

The spelling of 1072122623 in words is "one billion, seventy-two million, one hundred twenty-two thousand, six hundred twenty-three".

Divisors: 1 11 13 143 281 3091 3653 26681 40183 293491 346853 3815383 7497361 82470971 97465693 1072122623