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1375312135731 = 31937719184729
BaseRepresentation
bin10100000000110110111…
…111011100011000110011
311212110220212102100101120
4110000312333130120303
5140013114401320411
62531450520033323
7201235342161252
oct24006677343063
94773825370346
101375312135731
114902a2934486
121a2665302843
139c8cac5a171
144a7cb8b4799
1525b95a97106
hex14036fdc633

1375312135731 has 32 divisors (see below), whose sum is σ = 2010353702400. Its totient is φ = 833238524160.

The previous prime is 1375312135727. The next prime is 1375312135733.

It is a happy number.

1375312135731 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1375312135731 - 22 = 1375312135727 is a prime.

It is a super-2 number, since 2×13753121357312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1375312135733) 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, 4442626 + ... + 4742103.

It is an arithmetic number, because the mean of its divisors is an integer number (62823553200).

Almost surely, 21375312135731 is an apocalyptic number.

1375312135731 is a deficient number, since it is larger than the sum of its proper divisors (635041566669).

1375312135731 is a wasteful number, since it uses less digits than its factorization.

1375312135731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9184859.

The product of its digits is 198450, while the sum is 42.

The spelling of 1375312135731 in words is "one trillion, three hundred seventy-five billion, three hundred twelve million, one hundred thirty-five thousand, seven hundred thirty-one".

Divisors: 1 3 19 37 57 71 111 213 703 1349 2109 2627 4047 7881 49913 149739 9184729 27554187 174509851 339834973 523529553 652115759 1019504919 1956347277 6456864487 12390199421 19370593461 24128283083 37170598263 72384849249 458437378577 1375312135731