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13101041035720 = 23511613171539799
BaseRepresentation
bin1011111010100101001011…
…1001011010100111001000
31201101110002002000222001201
42332221102321122213020
53204121413001120340
643510311332353544
72521343003261431
oct276512271324710
951343062028051
1013101041035720
1141a11361373a0
1215770a01758b4
13740566072111
14334145436488
1517abc4eab79a
hexbea52e5a9c8

13101041035720 has 128 divisors (see below), whose sum is σ = 32787392544000. Its totient is φ = 4671131212800.

The previous prime is 13101041035711. The next prime is 13101041035829. The reversal of 13101041035720 is 2753014010131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7738381 + ... + 9278179.

It is an arithmetic number, because the mean of its divisors is an integer number (256151504250).

Almost surely, 213101041035720 is an apocalyptic number.

13101041035720 is a gapful number since it is divisible by the number (10) 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 13101041035720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16393696272000).

13101041035720 is an abundant number, since it is smaller than the sum of its proper divisors (19686351508280).

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

13101041035720 is a wasteful number, since it uses less digits than its factorization.

13101041035720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540199 (or 1540195 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 13101041035720 its reverse (2753014010131), we get a palindrome (15854055045851).

The spelling of 13101041035720 in words is "thirteen trillion, one hundred one billion, forty-one million, thirty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 317 440 488 610 634 671 1220 1268 1342 1585 2440 2536 2684 3170 3355 3487 5368 6340 6710 6974 12680 13420 13948 17435 19337 26840 27896 34870 38674 69740 77348 96685 139480 154696 193370 212707 386740 425414 773480 850828 1063535 1539799 1701656 2127070 3079598 4254140 6159196 7698995 8508280 12318392 15397990 16937789 30795980 33875578 61591960 67751156 84688945 93927739 135502312 169377890 187855478 338755780 375710956 469638695 488116283 677511560 751421912 939277390 976232566 1033205129 1878554780 1952465132 2066410258 2440581415 3757109560 3904930264 4132820516 4881162830 5166025645 5369279113 8265641032 9762325660 10332051290 10738558226 19524651320 20664102580 21477116452 26846395565 29775093263 41328205160 42954232904 53692791130 59550186526 107385582260 119100373052 148875466315 214771164520 238200746104 297750932630 327526025893 595501865260 655052051786 1191003730520 1310104103572 1637630129465 2620208207144 3275260258930 6550520517860 13101041035720