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101974869 = 348811429
BaseRepresentation
bin1100001010000…
…00001101010101
321002212212020000
412011000031111
5202101143434
614041401513
72345525553
oct605001525
9232785200
10101974869
1152620257
122a199299
1318185679
14d786bd3
158e44b99
hex6140355

101974869 has 20 divisors (see below), whose sum is σ = 152612460. Its totient is φ = 67858560.

The previous prime is 101974867. The next prime is 101974897. The reversal of 101974869 is 968479101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11819844 + 90155025 = 3438^2 + 9495^2 .

It is not a de Polignac number, because 101974869 - 21 = 101974867 is a prime.

It is a super-2 number, since 2×1019748692 = 20797747815134322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101974867) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70647 + ... + 72075.

It is an arithmetic number, because the mean of its divisors is an integer number (7630623).

Almost surely, 2101974869 is an apocalyptic number.

It is an amenable number.

101974869 is a deficient number, since it is larger than the sum of its proper divisors (50637591).

101974869 is an equidigital number, since it uses as much as digits as its factorization.

101974869 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 101974869 is about 10098.2606918221. The cubic root of 101974869 is about 467.1944970388.

The spelling of 101974869 in words is "one hundred one million, nine hundred seventy-four thousand, eight hundred sixty-nine".

Divisors: 1 3 9 27 81 881 1429 2643 4287 7929 12861 23787 38583 71361 115749 1258949 3776847 11330541 33991623 101974869