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101414682 = 23223298447
BaseRepresentation
bin1100000101101…
…11011100011010
321001211101210100
412002313130122
5201430232212
614021400230
72341003425
oct602673432
9231741710
10101414682
1152278396
1229b69076
131801a6b5
14d67c9bc
158d83bdc
hex60b771a

101414682 has 48 divisors (see below), whose sum is σ = 237219840. Its totient is φ = 31216416.

The previous prime is 101414681. The next prime is 101414693. The reversal of 101414682 is 286414101.

It is a happy number.

It is a super-2 number, since 2×1014146822 = 20569875450322248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101414681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7783 + ... + 16229.

It is an arithmetic number, because the mean of its divisors is an integer number (4942080).

Almost surely, 2101414682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101414682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118609920).

101414682 is an abundant number, since it is smaller than the sum of its proper divisors (135805158).

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

101414682 is a wasteful number, since it uses less digits than its factorization.

101414682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8507 (or 8504 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 101414682 is about 10070.4856883866. The cubic root of 101414682 is about 466.3374329727.

Adding to 101414682 its reverse (286414101), we get a palindrome (387828783).

The spelling of 101414682 in words is "one hundred one million, four hundred fourteen thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 1334 2001 4002 6003 8447 12006 16894 25341 50682 76023 152046 194281 244963 388562 489926 582843 734889 1165686 1469778 1748529 2204667 3497058 4409334 5634149 11268298 16902447 33804894 50707341 101414682