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103013121544720 = 2459738934125673
BaseRepresentation
bin10111011011000010011100…
…100001000101001000010000
3111111201221212120002100012121
4113123002130201011020100
5102000231333103412340
61003031324050304024
730461311116530632
oct2733023441051020
9444657776070177
10103013121544720
112a90668a624692
12b678771b88014
13456313229289a
141b61c0c672a52
15bd991ae7394a
hex5db09c845210

103013121544720 has 80 divisors (see below), whose sum is σ = 242596686412080. Its totient is φ = 40675616980992.

The previous prime is 103013121544631. The next prime is 103013121544747. The reversal of 103013121544720 is 27445121310301.

It can be written as a sum of positive squares in 8 ways, for example, as 34573835522304 + 68439286022416 = 5879952^2 + 8272804^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1030131215447202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14044197 + ... + 20081476.

It is an arithmetic number, because the mean of its divisors is an integer number (3032458580151).

Almost surely, 2103013121544720 is an apocalyptic number.

103013121544720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103013121544720 is an abundant number, since it is smaller than the sum of its proper divisors (139583564867360).

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

103013121544720 is a wasteful number, since it uses less digits than its factorization.

103013121544720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34126172 (or 34126166 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 103013121544720 in words is "one hundred three trillion, thirteen billion, one hundred twenty-one million, five hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 389 485 776 778 970 1552 1556 1940 1945 3112 3880 3890 6224 7760 7780 15560 31120 37733 75466 150932 188665 301864 377330 603728 754660 1509320 3018640 34125673 68251346 136502692 170628365 273005384 341256730 546010768 682513460 1365026920 2730053840 3310190281 6620380562 13240761124 13274886797 16550951405 26481522248 26549773594 33101902810 52963044496 53099547188 66203805620 66374433985 106199094376 132407611240 132748867970 212398188752 264815222480 265497735940 530995471880 1061990943760 1287664019309 2575328038618 5150656077236 6438320096545 10301312154472 12876640193090 20602624308944 25753280386180 51506560772360 103013121544720