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100007217 = 341234657
BaseRepresentation
bin1011111010111…
…11110100110001
320222011220010000
411331133310301
5201100212332
613531300213
72323022142
oct575376461
9228156100
10100007217
11514a69a2
12295aa669
1317946b8b
14d3d3ac9
158ba6b7c
hex5f5fd31

100007217 has 10 divisors (see below), whose sum is σ = 149393618. Its totient is φ = 66671424.

The previous prime is 100007213. The next prime is 100007221. The reversal of 100007217 is 712700001.

It is an interprime number because it is at equal distance from previous prime (100007213) and next prime (100007221).

It can be written as a sum of positive squares in only one way, i.e., 92910321 + 7096896 = 9639^2 + 2664^2 .

It is not a de Polignac number, because 100007217 - 22 = 100007213 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100007217.

It is not an unprimeable number, because it can be changed into a prime (100007213) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 617248 + ... + 617409.

Almost surely, 2100007217 is an apocalyptic number.

It is an amenable number.

100007217 is a deficient number, since it is larger than the sum of its proper divisors (49386401).

100007217 is an equidigital number, since it uses as much as digits as its factorization.

100007217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234669 (or 1234660 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 100007217 is about 10000.3608434896. The cubic root of 100007217 is about 464.1700492082.

Adding to 100007217 its reverse (712700001), we get a palindrome (812707218).

The spelling of 100007217 in words is "one hundred million, seven thousand, two hundred seventeen".

Divisors: 1 3 9 27 81 1234657 3703971 11111913 33335739 100007217