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100103401441 = 2914923166721
BaseRepresentation
bin101110100111010100…
…0001010111111100001
3100120101101012200100201
41131032220022333201
53120002432321231
6113553055145201
710142440605301
oct1351650127741
9316341180321
10100103401441
11394a984013a
1217498515201
139594074524
144bb8a99601
15290d362161
hex174ea0afe1

100103401441 has 8 divisors (see below), whose sum is σ = 104250249000. Its totient is φ = 96002887680.

The previous prime is 100103401429. The next prime is 100103401459. The reversal of 100103401441 is 144104301001.

It can be written as a sum of positive squares in 4 ways, for example, as 15114243600 + 84989157841 = 122940^2 + 291529^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100103401441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100103401241) 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, 11579040 + ... + 11587681.

It is an arithmetic number, because the mean of its divisors is an integer number (13031281125).

Almost surely, 2100103401441 is an apocalyptic number.

It is an amenable number.

100103401441 is a deficient number, since it is larger than the sum of its proper divisors (4146847559).

100103401441 is a wasteful number, since it uses less digits than its factorization.

100103401441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23166899.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 100103401441 its reverse (144104301001), we get a palindrome (244207702442).

The spelling of 100103401441 in words is "one hundred billion, one hundred three million, four hundred one thousand, four hundred forty-one".

Divisors: 1 29 149 4321 23166721 671834909 3451841429 100103401441