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101402314130 = 251353138110657
BaseRepresentation
bin101111001110000001…
…1001000010110010010
3100200201220100021121002
41132130003020112102
53130132443023010
6114330015302002
710216562306615
oct1363403102622
9320656307532
10101402314130
113a005a654a7
121779b51a902
1397401bb610
144c9d3b617c
1529873da1a5
hex179c0c8592

101402314130 has 64 divisors (see below), whose sum is σ = 200437076448. Its totient is φ = 36704378880.

The previous prime is 101402314099. The next prime is 101402314133. The reversal of 101402314130 is 31413204101.

It can be written as a sum of positive squares in 16 ways, for example, as 339996721 + 101062317409 = 18439^2 + 317903^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101402314133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9509762 + ... + 9520418.

Almost surely, 2101402314130 is an apocalyptic number.

101402314130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101402314130 is a deficient number, since it is larger than the sum of its proper divisors (99034762318).

101402314130 is a wasteful number, since it uses less digits than its factorization.

101402314130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12111.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101402314130 its reverse (31413204101), we get a palindrome (132815518231).

The spelling of 101402314130 in words is "one hundred one billion, four hundred two million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 53 65 106 130 265 530 689 1378 1381 2762 3445 6890 6905 10657 13810 17953 21314 35906 53285 73193 89765 106570 138541 146386 179530 277082 365965 564821 692705 731930 951509 1129642 1385410 1903018 2824105 4757545 5648210 7342673 9515090 14685346 14717317 29434634 36713365 73426730 73586585 147173170 191325121 382650242 780017801 956625605 1560035602 1913251210 3900089005 7800178010 10140231413 20280462826 50701157065 101402314130