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101414676 = 223111734441
BaseRepresentation
bin1100000101101…
…11011100010100
321001211101210010
412002313130110
5201430232201
614021400220
72341003416
oct602673424
9231741703
10101414676
1152278390
1229b69070
131801a6ac
14d67c9b6
158d83bd6
hex60b7714

101414676 has 48 divisors (see below), whose sum is σ = 259697088. Its totient is φ = 30547200.

The previous prime is 101414657. The next prime is 101414681. The reversal of 101414676 is 676414101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20616 + ... + 25056.

It is an arithmetic number, because the mean of its divisors is an integer number (5410356).

Almost surely, 2101414676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101414676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129848544).

101414676 is an abundant number, since it is smaller than the sum of its proper divisors (158282412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101414676 is a wasteful number, since it uses less digits than its factorization.

101414676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 101414676 is about 10070.4853904864. The cubic root of 101414676 is about 466.3374237761.

Adding to 101414676 its reverse (676414101), we get a palindrome (777828777).

The spelling of 101414676 in words is "one hundred one million, four hundred fourteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 346 519 692 1038 1903 2076 3806 4441 5709 7612 8882 11418 13323 17764 22836 26646 48851 53292 97702 146553 195404 293106 586212 768293 1536586 2304879 3073172 4609758 8451223 9219516 16902446 25353669 33804892 50707338 101414676