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13101441101232 = 24311374211592947
BaseRepresentation
bin1011111010100110101010…
…1111100010110110110000
31201101111002221211101202220
42332221222233202312300
53204123222410214412
643510415143241040
72521355631625251
oct276515257426660
951344087741686
1013101441101232
1141a1320a47550
121577192149180
137405cac07483
14334182616b28
1517abea18468c
hexbea6abe2db0

13101441101232 has 160 divisors (see below), whose sum is σ = 38010237022464. Its totient is φ = 3853654963200.

The previous prime is 13101441101183. The next prime is 13101441101237. The reversal of 13101441101232 is 23210114410131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13101441101237) 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, 7428183 + ... + 9021129.

Almost surely, 213101441101232 is an apocalyptic number.

13101441101232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101441101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19005118511232).

13101441101232 is an abundant number, since it is smaller than the sum of its proper divisors (24908795921232).

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

13101441101232 is a wasteful number, since it uses less digits than its factorization.

13101441101232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593427 (or 1593421 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13101441101232 its reverse (23210114410131), we get a palindrome (36311555511363).

The spelling of 13101441101232 in words is "thirteen trillion, one hundred one billion, four hundred forty-one million, one hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 421 444 528 592 814 842 888 1221 1263 1628 1684 1776 2442 2526 3256 3368 4631 4884 5052 6512 6736 9262 9768 10104 13893 15577 18524 19536 20208 27786 31154 37048 46731 55572 62308 74096 93462 111144 124616 171347 186924 222288 249232 342694 373848 514041 685388 747696 1028082 1370776 1592947 2056164 2741552 3185894 4112328 4778841 6371788 8224656 9557682 12743576 17522417 19115364 25487152 35044834 38230728 52567251 58939039 70089668 76461456 105134502 117878078 140179336 176817117 210269004 235756156 280358672 353634234 420538008 471512312 648329429 670630687 707268468 841076016 943024624 1296658858 1341261374 1414536936 1944988287 2011892061 2593317716 2682522748 2829073872 3889976574 4023784122 5186635432 5365045496 7376937557 7779953148 8047568244 10373270864 10730090992 14753875114 15559906296 16095136488 22130812671 24813335419 29507750228 31119812592 32190272976 44261625342 49626670838 59015500456 74440006257 88523250684 99253341676 118031000912 148880012514 177046501368 198506683352 272946689609 297760025028 354093002736 397013366704 545893379218 595520050056 818840068827 1091786758436 1191040100112 1637680137654 2183573516872 3275360275308 4367147033744 6550720550616 13101441101232