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106202336769 = 3223247232
BaseRepresentation
bin110001011101000100…
…1110000111000000001
3101011010102102200210100
41202322021300320001
53220000244234034
6120442204353013
710446535652664
oct1427211607001
9334112380710
10106202336769
11410494a5561
12186bab45769
13a0267a02b9
1451d6a9d6db
152b689de099
hex18ba270e01

106202336769 has 27 divisors (see below), whose sum is σ = 160397035617. Its totient is φ = 67708890216.

The previous prime is 106202336767. The next prime is 106202336771. The reversal of 106202336769 is 967633202601.

The square root of 106202336769 is 325887.

It is a perfect power (a square), and thus also a powerful number.

106202336769 is a `hidden beast` number, since 10 + 620 + 2 + 3 + 3 + 6 + 7 + 6 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (106202336767) and next prime (106202336771).

It is not a de Polignac number, because 106202336769 - 21 = 106202336767 is a prime.

It is a super-2 number, since 2×1062023367692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106202336767) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22483842 + ... + 22488564.

Almost surely, 2106202336769 is an apocalyptic number.

106202336769 is the 325887-th square number.

106202336769 is the 162944-th centered octagonal number.

It is an amenable number.

106202336769 is a deficient number, since it is larger than the sum of its proper divisors (54194698848).

106202336769 is an frugal number, since it uses more digits than its factorization.

106202336769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9498 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 106202336769 in words is "one hundred six billion, two hundred two million, three hundred thirty-six thousand, seven hundred sixty-nine".

Divisors: 1 3 9 23 69 207 529 1587 4723 4761 14169 42507 108629 325887 977661 2498467 7495401 22306729 22486203 66920187 200760561 513054767 1539164301 4617492903 11800259641 35400778923 106202336769