Search a number
-
+
103580775780 = 223553197165343
BaseRepresentation
bin110000001110111100…
…1010011010101100100
3100220100201111121011220
41200131321103111210
53144113134311110
6115330115300340
710324554032016
oct1403571232544
9326321447156
10103580775780
113aa23713a29
12180a8baa6b0
1399c961b591
1450288481b6
152a637a0370
hex181de53564

103580775780 has 96 divisors (see below), whose sum is σ = 297000152064. Its totient is φ = 26962650624.

The previous prime is 103580775733. The next prime is 103580775791. The reversal of 103580775780 is 87577085301.

It is a super-3 number, since 3×1035807757803 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543789 + ... + 709131.

It is an arithmetic number, because the mean of its divisors is an integer number (3093751584).

Almost surely, 2103580775780 is an apocalyptic number.

103580775780 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 103580775780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148500076032).

103580775780 is an abundant number, since it is smaller than the sum of its proper divisors (193419376284).

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

103580775780 is a wasteful number, since it uses less digits than its factorization.

103580775780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165605 (or 165603 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 51.

The spelling of 103580775780 in words is "one hundred three billion, five hundred eighty million, seven hundred seventy-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 197 212 265 318 394 530 591 636 788 795 985 1060 1182 1590 1970 2364 2955 3180 3940 5910 10441 11820 20882 31323 41764 52205 62646 104410 125292 156615 165343 208820 313230 330686 496029 626460 661372 826715 992058 1653430 1984116 2480145 3306860 4960290 8763179 9920580 17526358 26289537 32572571 35052716 43815895 52579074 65145142 87631790 97717713 105158148 130290284 131447685 162862855 175263580 195435426 262895370 325725710 390870852 488588565 525790740 651451420 977177130 1726346263 1954354260 3452692526 5179038789 6905385052 8631731315 10358077578 17263462630 20716155156 25895193945 34526925260 51790387890 103580775780