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100417369 = 1361312601
BaseRepresentation
bin1011111110000…
…11111101011001
320222221201201211
411333003331121
5201201323434
613544143121
72326351003
oct577037531
9228851654
10100417369
1151757068
1229767aa1
1317a5b780
14d49d373
158c38464
hex5fc3f59

100417369 has 8 divisors (see below), whose sum is σ = 108326792. Its totient is φ = 92534400.

The previous prime is 100417313. The next prime is 100417381. The reversal of 100417369 is 963714001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5938969 + 94478400 = 2437^2 + 9720^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100417369 - 211 = 100415321 is a prime.

It is a super-2 number, since 2×1004173692 = 20167295993764322, which contains 22 as substring.

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 100417369.

It is not an unprimeable number, because it can be changed into a prime (100417399) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1669 + ... + 14269.

It is an arithmetic number, because the mean of its divisors is an integer number (13540849).

Almost surely, 2100417369 is an apocalyptic number.

It is an amenable number.

100417369 is a deficient number, since it is larger than the sum of its proper divisors (7909423).

100417369 is a wasteful number, since it uses less digits than its factorization.

100417369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13227.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 100417369 is about 10020.8467207118. The cubic root of 100417369 is about 464.8037388127.

The spelling of 100417369 in words is "one hundred million, four hundred seventeen thousand, three hundred sixty-nine".

Divisors: 1 13 613 7969 12601 163813 7724413 100417369