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103760870320 = 24510714981353
BaseRepresentation
bin110000010100010100…
…0010011101110110000
3100220211021101100110001
41200220220103232300
53200000240322240
6115400031315344
710332201563002
oct1405050235660
9326737340401
10103760870320
1140006340698
121813937bb54
139a27a264b3
145044728372
152a744c689a
hex1828a13bb0

103760870320 has 80 divisors (see below), whose sum is σ = 245135872800. Its totient is φ = 40840005632.

The previous prime is 103760870281. The next prime is 103760870333. The reversal of 103760870320 is 23078067301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103760870320.

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, 1234764 + ... + 1316116.

It is an arithmetic number, because the mean of its divisors is an integer number (3064198410).

Almost surely, 2103760870320 is an apocalyptic number.

103760870320 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 103760870320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122567936400).

103760870320 is an abundant number, since it is smaller than the sum of its proper divisors (141375002480).

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

103760870320 is a wasteful number, since it uses less digits than its factorization.

103760870320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81622 (or 81616 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 103760870320 in words is "one hundred three billion, seven hundred sixty million, eight hundred seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 149 214 298 428 535 596 745 856 1070 1192 1490 1712 2140 2384 2980 4280 5960 8560 11920 15943 31886 63772 79715 81353 127544 159430 162706 255088 318860 325412 406765 637720 650824 813530 1275440 1301648 1627060 3254120 6508240 8704771 12121597 17409542 24243194 34819084 43523855 48486388 60607985 69638168 87047710 96972776 121215970 139276336 174095420 193945552 242431940 348190840 484863880 696381680 969727760 1297010879 2594021758 5188043516 6485054395 10376087032 12970108790 20752174064 25940217580 51880435160 103760870320