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103097503744 = 2122921732
BaseRepresentation
bin110000000000100010…
…1110001000000000000
3100212010001010211120121
41200001011301000000
53142120430104434
6115210133150024
710306565215444
oct1400105610000
9325101124517
10103097503744
113a7a5942554
1217b9318b314
1399504724b1
144dc05a8824
152a3613d7b4
hex1801171000

103097503744 has 117 divisors (see below), whose sum is σ = 214765669183. Its totient is φ = 49483513856.

The previous prime is 103097503681. The next prime is 103097503763. The reversal of 103097503744 is 447305790301.

The square root of 103097503744 is 321088.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24087040000 + 79010463744 = 155200^2 + 281088^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103097503744.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 595939242 + ... + 595939414.

Almost surely, 2103097503744 is an apocalyptic number.

103097503744 is the 321088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103097503744

103097503744 is an abundant number, since it is smaller than the sum of its proper divisors (111668165439).

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

103097503744 is an frugal number, since it uses more digits than its factorization.

103097503744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

It can be divided in two parts, 103097 and 503744, that added together give a square (606841 = 7792).

The spelling of 103097503744 in words is "one hundred three billion, ninety-seven million, five hundred three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 173 232 256 346 464 512 692 841 928 1024 1384 1682 1856 2048 2768 3364 3712 4096 5017 5536 6728 7424 10034 11072 13456 14848 20068 22144 26912 29696 29929 40136 44288 53824 59392 59858 80272 88576 107648 118784 119716 145493 160544 177152 215296 239432 290986 321088 354304 430592 478864 581972 642176 708608 861184 867941 957728 1163944 1284352 1722368 1735882 1915456 2327888 2568704 3444736 3471764 3830912 4655776 5137408 6943528 7661824 9311552 10274816 13887056 15323648 18623104 20549632 25170289 27774112 30647296 37246208 50340578 55548224 61294592 74492416 100681156 111096448 122589184 148984832 201362312 222192896 297969664 402724624 444385792 595939328 805449248 888771584 1610898496 1777543168 3221796992 3555086336 6443593984 12887187968 25774375936 51548751872 103097503744