Search a number
-
+
103224124220 = 22572186156599
BaseRepresentation
bin110000000100010100…
…0110010001100111100
3100212102212101211012212
41200020220302030330
53142400333433340
6115230455115552
710312663402400
oct1401050621474
9325385354185
10103224124220
113a860366378
1218009672bb8
139970776959
144dd3329100
152a42300a65
hex1808a3233c

103224124220 has 72 divisors (see below), whose sum is σ = 252301744800. Its totient is φ = 35371486080.

The previous prime is 103224124147. The next prime is 103224124259. The reversal of 103224124220 is 22421422301.

It is a congruent number.

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, 1795481 + ... + 1852079.

It is an arithmetic number, because the mean of its divisors is an integer number (3504190900).

Almost surely, 2103224124220 is an apocalyptic number.

103224124220 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 103224124220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126150872400).

103224124220 is an abundant number, since it is smaller than the sum of its proper divisors (149077620580).

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

103224124220 is a wasteful number, since it uses less digits than its factorization.

103224124220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58483 (or 58474 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 103224124220 its reverse (22421422301), we get a palindrome (125645546521).

The spelling of 103224124220 in words is "one hundred three billion, two hundred twenty-four million, one hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1861 3722 7444 9305 13027 18610 26054 37220 52108 56599 65135 91189 113198 130270 182378 226396 260540 282995 364756 396193 455945 565990 792386 911890 1131980 1584772 1823780 1980965 2773351 3961930 5546702 7923860 11093404 13866755 27733510 55467020 105330739 210661478 421322956 526653695 737315173 1053307390 1474630346 2106614780 2949260692 3686575865 5161206211 7373151730 10322412422 14746303460 20644824844 25806031055 51612062110 103224124220