Search a number
-
+
103333302100 = 22527259357431
BaseRepresentation
bin110000000111100100…
…1010000111101010100
3100212201110211122010001
41200033021100331110
53143111311131400
6115245355141044
710315460401300
oct1401711207524
9325643748101
10103333302100
113a906a56326
121803a144784
13998a281a52
145003a28d00
152a4bbb9a6a
hex180f250f54

103333302100 has 108 divisors (see below), whose sum is σ = 265264584480. Its totient is φ = 34827979200.

The previous prime is 103333302067. The next prime is 103333302109. The reversal of 103333302100 is 1203333301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103333302109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110385 + ... + 467815.

It is an arithmetic number, because the mean of its divisors is an integer number (2456153560).

Almost surely, 2103333302100 is an apocalyptic number.

103333302100 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 103333302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132632292240).

103333302100 is an abundant number, since it is smaller than the sum of its proper divisors (161931282380).

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

103333302100 is a wasteful number, since it uses less digits than its factorization.

103333302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357518 (or 357504 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 103333302100 its reverse (1203333301), we get a palindrome (104536635401).

The spelling of 103333302100 in words is "one hundred three billion, three hundred thirty-three million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 59 70 98 100 118 140 175 196 236 245 295 350 413 490 590 700 826 980 1180 1225 1475 1652 2065 2450 2891 2950 4130 4900 5782 5900 8260 10325 11564 14455 20650 28910 41300 57820 72275 144550 289100 357431 714862 1429724 1787155 2502017 3574310 5004034 7148620 8935775 10008068 12510085 17514119 17871550 21088429 25020170 35028238 35743100 42176858 50040340 62550425 70056476 84353716 87570595 105442145 125100850 147619003 175141190 210884290 250201700 295238006 350282380 421768580 437852975 527210725 590476012 738095015 875705950 1033333021 1054421450 1476190030 1751411900 2066666042 2108842900 2952380060 3690475075 4133332084 5166665105 7380950150 10333330210 14761900300 20666660420 25833325525 51666651050 103333302100