Search a number
-
+
103704373700 = 22526159328669
BaseRepresentation
bin110000010010101000…
…0110010100111000100
3100220200100002000122122
41200211100302213010
53144341304424300
6115350252345112
710330614426554
oct1404520624704
9326610060578
10103704373700
113aa87462974
1218122475198
139a19105045
14503b01d164
152a6e566c85
hex18254329c4

103704373700 has 72 divisors (see below), whose sum is σ = 229121350920. Its totient is φ = 40731494400.

The previous prime is 103704373681. The next prime is 103704373711. The reversal of 103704373700 is 7373407301.

It can be written as a sum of positive squares in 12 ways, for example, as 34260529216 + 69443844484 = 185096^2 + 263522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3602966 + ... + 3631634.

It is an arithmetic number, because the mean of its divisors is an integer number (3182240985).

Almost surely, 2103704373700 is an apocalyptic number.

103704373700 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 103704373700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114560675460).

103704373700 is an abundant number, since it is smaller than the sum of its proper divisors (125416977220).

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

103704373700 is a wasteful number, since it uses less digits than its factorization.

103704373700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29337 (or 29330 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 35.

The spelling of 103704373700 in words is "one hundred three billion, seven hundred four million, three hundred seventy-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 593 610 1186 1220 1525 2372 2965 3050 5930 6100 11860 14825 28669 29650 36173 57338 59300 72346 114676 143345 144692 180865 286690 361730 573380 716725 723460 904325 1433450 1748809 1808650 2866900 3497618 3617300 6995236 8744045 17000717 17488090 34001434 34976180 43720225 68002868 85003585 87440450 170007170 174880900 340014340 425017925 850035850 1037043737 1700071700 2074087474 4148174948 5185218685 10370437370 20740874740 25926093425 51852186850 103704373700