Search a number
-
+
103023300220 = 22541383328037
BaseRepresentation
bin101111111110010101…
…0101100111001111100
3100211220212111220110221
41133330222230321330
53141442431101340
6115154522511124
710305004413601
oct1377452547174
9324825456427
10103023300220
113a767a70325
1217b723654a4
13993ac91599
144db47b06a8
152a2e88244a
hex17fcaace7c

103023300220 has 48 divisors (see below), whose sum is σ = 222205068288. Its totient is φ = 40099120640.

The previous prime is 103023300181. The next prime is 103023300251. The reversal of 103023300220 is 22003320301.

It is a super-2 number, since 2×1030233002202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103023300194 and 103023300203.

It is a congruent number.

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, 150042 + ... + 478078.

It is an arithmetic number, because the mean of its divisors is an integer number (4629272256).

Almost surely, 2103023300220 is an apocalyptic number.

103023300220 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 103023300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111102534144).

103023300220 is an abundant number, since it is smaller than the sum of its proper divisors (119181768068).

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

103023300220 is a wasteful number, since it uses less digits than its factorization.

103023300220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328470 (or 328468 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 103023300220 its reverse (22003320301), we get a palindrome (125026620521).

The spelling of 103023300220 in words is "one hundred three billion, twenty-three million, three hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 383 410 766 820 1532 1915 3830 7660 15703 31406 62812 78515 157030 314060 328037 656074 1312148 1640185 3280370 6560740 13449517 26899034 53798068 67247585 125638171 134495170 251276342 268990340 502552684 628190855 1256381710 2512763420 5151165011 10302330022 20604660044 25755825055 51511650110 103023300220