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3197041029 = 337131776541
BaseRepresentation
bin1011111010001110…
…1111100110000101
322020210210111211000
42332203233212011
523021420303104
61245123403513
7142140254220
oct27643574605
98223714730
103197041029
1113a0712276
12752823599
133bc473a70
142248585b7
1513aa16639
hexbe8ef985

3197041029 has 64 divisors (see below), whose sum is σ = 6172346880. Its totient is φ = 1587133440.

The previous prime is 3197041027. The next prime is 3197041031. The reversal of 3197041029 is 9201407913.

It is an interprime number because it is at equal distance from previous prime (3197041027) and next prime (3197041031).

It is not a de Polignac number, because 3197041029 - 21 = 3197041027 is a prime.

It is a super-2 number, since 2×31970410292 = 20442142682218757682, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3197040984 and 3197041002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3197041021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3499 + ... + 80039.

It is an arithmetic number, because the mean of its divisors is an integer number (96442920).

Almost surely, 23197041029 is an apocalyptic number.

3197041029 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3197041029 is a deficient number, since it is larger than the sum of its proper divisors (2975305851).

3197041029 is a wasteful number, since it uses less digits than its factorization.

3197041029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76587 (or 76581 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3197041029 is about 56542.3825904073. The cubic root of 3197041029 is about 1473.1582534541.

The spelling of 3197041029 in words is "three billion, one hundred ninety-seven million, forty-one thousand, twenty-nine".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 91 117 119 153 189 221 273 351 357 459 663 819 1071 1547 1989 2457 3213 4641 5967 13923 41769 76541 229623 535787 688869 995033 1301197 1607361 2066607 2985099 3903591 4822083 6965231 8955297 9108379 11710773 14466249 16915561 20895693 26865891 27325137 35132319 50746683 62687079 81975411 118408927 152240049 188061237 245926233 355226781 456720147 1065680343 3197041029