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131310011100002 = 27210139735419437
BaseRepresentation
bin11101110110110011111110…
…100100010010101101100010
3122012221010002110000022110112
4131312303332210102231202
5114202340400320200002
61143134553014131322
736441556325265500
oct3566637644225542
9565833073008415
10131310011100002
1138926299025a89
1212888915050b42
135836633755227
14245d61d159670
15102aa1c320852
hex776cfe912b62

131310011100002 has 96 divisors (see below), whose sum is σ = 232064058962736. Its totient is φ = 55556601408000.

The previous prime is 131310011099977. The next prime is 131310011100013. The reversal of 131310011100002 is 200001110013131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 110321600621281 + 20988410478721 = 10503409^2 + 4581311^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 131310011100002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13914376028 + ... + 13914385464.

Almost surely, 2131310011100002 is an apocalyptic number.

131310011100002 is a deficient number, since it is larger than the sum of its proper divisors (100754047862734).

131310011100002 is a wasteful number, since it uses less digits than its factorization.

131310011100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13492 (or 13485 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 131310011100002 its reverse (200001110013131), we get a palindrome (331311121113133).

The spelling of 131310011100002 in words is "one hundred thirty-one trillion, three hundred ten billion, eleven million, one hundred thousand, two".

Divisors: 1 2 7 14 49 98 101 202 397 707 794 1414 2779 3541 4949 5558 7082 9437 9898 18874 19453 24787 38906 40097 49574 66059 80194 132118 173509 280679 347018 357641 462413 561358 715282 924826 953137 1405777 1906274 1964753 2503487 2811554 3746489 3929506 5006974 6671959 7492978 9840439 13343918 17524409 19680878 26225423 33416417 35048818 46703713 52450846 66832834 68883073 93407426 137766146 141983477 183577961 233914919 283966954 367155922 378395389 467829838 756790778 993884339 1637404433 1987768678 2648767723 3274808866 3375058117 5297535446 6750116234 6957190373 13266317549 13914380746 18541374061 23625406819 26532635098 37082748122 47250813638 92864222843 165377847733 185728445686 330755695466 650049559901 1300099119802 1339898072449 2679796144898 9379286507143 18758573014286 65655005550001 131310011100002