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106130360401 = 1314813551129
BaseRepresentation
bin110001011010111011…
…1001100100001010001
3101010221101222220202221
41202311313030201101
53214323333013101
6120431113541041
710445003115232
oct1426567144121
9333841886687
10106130360401
114101190465a
121869aa14781
13a0148bc030
1451cb2c5089
152b62522aa1
hex18b5dcc851

106130360401 has 8 divisors (see below), whose sum is σ = 114302157480. Its totient is φ = 97959695232.

The previous prime is 106130360381. The next prime is 106130360411. The reversal of 106130360401 is 104063031601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16646400 + 106113714001 = 4080^2 + 325751^2 .

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 106130360401 - 227 = 105996142673 is a prime.

It is a super-2 number, since 2×1061303604012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106130360411) 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, 82996 + ... + 468133.

It is an arithmetic number, because the mean of its divisors is an integer number (14287769685).

Almost surely, 2106130360401 is an apocalyptic number.

It is an amenable number.

106130360401 is a deficient number, since it is larger than the sum of its proper divisors (8171797079).

106130360401 is a wasteful number, since it uses less digits than its factorization.

106130360401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565955.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 106130360401 in words is "one hundred six billion, one hundred thirty million, three hundred sixty thousand, four hundred one".

Divisors: 1 13 14813 192569 551129 7164677 8163873877 106130360401