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13110444012540 = 22357132623235369
BaseRepresentation
bin1011111011001000001101…
…0110111011001111111100
31201102100100101101200100110
42332302003112323033330
53204300142131400130
643514504351030020
72522125011253140
oct276620326731774
951370311350313
1013110444012540
1141a5120947016
121578a8520b310
13741404166924
14334798189220
1517b075738ab0
hexbec835bb3fc

13110444012540 has 96 divisors (see below), whose sum is σ = 41953915422720. Its totient is φ = 2996637590016.

The previous prime is 13110444012527. The next prime is 13110444012559. The reversal of 13110444012540 is 4521044401131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13110444012498 and 13110444012507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55583976 + ... + 55819344.

It is an arithmetic number, because the mean of its divisors is an integer number (437019952320).

Almost surely, 213110444012540 is an apocalyptic number.

13110444012540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110444012540 is an abundant number, since it is smaller than the sum of its proper divisors (28843471410180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13110444012540 is a wasteful number, since it uses less digits than its factorization.

13110444012540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368011 (or 368009 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 13110444012540 its reverse (4521044401131), we get a palindrome (17631488413671).

The spelling of 13110444012540 in words is "thirteen trillion, one hundred ten billion, four hundred forty-four million, twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 132623 235369 265246 397869 470738 530492 663115 706107 795738 928361 941476 1176845 1326230 1412214 1591476 1647583 1856722 1989345 2353690 2652460 2785083 2824428 3295166 3530535 3713444 3978690 4641805 4707380 4942749 5570166 6590332 7061070 7957380 8237915 9283610 9885498 11140332 13925415 14122140 16475830 18567220 19770996 24713745 27850830 32951660 49427490 55701660 98854980 31215342887 62430685774 93646028661 124861371548 156076714435 187292057322 218507400209 312153428870 374584114644 437014800418 468230143305 624306857740 655522200627 874029600836 936460286610 1092537001045 1311044401254 1872920573220 2185074002090 2622088802508 3277611003135 4370148004180 6555222006270 13110444012540