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10140241113365 = 51121011091522457
BaseRepresentation
bin1001001110001111010101…
…1110000011000100010101
31022220101201211121221221012
42103203311132003010111
52312114203211111430
633322210142502005
72064415425214106
oct223436536030425
938811654557835
1010140241113365
11325a4a7831200
1211792b6294905
135872b396b03c
14270b0c7a23ad
15128b86de0695
hex938f5783115

10140241113365 has 48 divisors (see below), whose sum is σ = 13631419050480. Its totient is φ = 7234710912000.

The previous prime is 10140241113337. The next prime is 10140241113367. The reversal of 10140241113365 is 56331114204101.

It can be written as a sum of positive squares in 8 ways, for example, as 833629259089 + 9306611854276 = 913033^2 + 3050674^2 .

It is not a de Polignac number, because 10140241113365 - 28 = 10140241113109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140241113367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5899217 + ... + 7421673.

It is an arithmetic number, because the mean of its divisors is an integer number (283987896885).

Almost surely, 210140241113365 is an apocalyptic number.

It is an amenable number.

10140241113365 is a deficient number, since it is larger than the sum of its proper divisors (3491177937115).

10140241113365 is a wasteful number, since it uses less digits than its factorization.

10140241113365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522694 (or 1522683 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 10140241113365 its reverse (56331114204101), we get a palindrome (66471355317466).

The spelling of 10140241113365 in words is "ten trillion, one hundred forty billion, two hundred forty-one million, one hundred thirteen thousand, three hundred sixty-five".

Divisors: 1 5 11 55 101 109 121 505 545 605 1111 1199 5555 5995 11009 12221 13189 55045 61105 65945 121099 605495 1332089 1522457 6660445 7612285 16747027 83735135 153768157 165947813 184217297 768840785 829739065 921086485 1691449727 1825425943 8457248635 9127129715 16760729113 18605946997 20079685373 83803645565 93029734985 100398426865 184368020243 921840101215 2028048222673 10140241113365