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10100216 = 237180361
BaseRepresentation
bin100110100001…
…110111111000
3201000010220002
4212201313320
510041201331
61000252132
7151564460
oct46416770
921003802
1010100216
115779495
123471048
132128379
1414acba0
15d479cb
hex9a1df8

10100216 has 16 divisors (see below), whose sum is σ = 21643440. Its totient is φ = 4328640.

The previous prime is 10100213. The next prime is 10100219. The reversal of 10100216 is 61200101.

It is an interprime number because it is at equal distance from previous prime (10100213) and next prime (10100219).

It is a junction number, because it is equal to n+sod(n) for n = 10100197 and 10100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100213) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 90125 + ... + 90236.

It is an arithmetic number, because the mean of its divisors is an integer number (1352715).

Almost surely, 210100216 is an apocalyptic number.

It is an amenable number.

10100216 is an abundant number, since it is smaller than the sum of its proper divisors (11543224).

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

10100216 is a wasteful number, since it uses less digits than its factorization.

10100216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180374 (or 180370 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 10100216 is about 3178.0836993383. The cubic root of 10100216 is about 216.1607742206.

Adding to 10100216 its reverse (61200101), we get a palindrome (71300317).

The spelling of 10100216 in words is "ten million, one hundred thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 180361 360722 721444 1262527 1442888 2525054 5050108 10100216