Search a number
-
+
10103002300 = 225231113151191
BaseRepresentation
bin10010110100010111…
…11001010010111100
3222002002120200201101
421122023321102330
5131142332033200
64350302222444
7505235050126
oct113213712274
928062520641
1010103002300
114314977186
121b5b584a24
13c50142691
146bbad6216
153e1e5726a
hex25a2f94bc

10103002300 has 144 divisors (see below), whose sum is σ = 23102521344. Its totient is φ = 3830400000.

The previous prime is 10103002291. The next prime is 10103002307. The reversal of 10103002300 is 320030101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103002307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52895205 + ... + 52895395.

It is an arithmetic number, because the mean of its divisors is an integer number (160434176).

Almost surely, 210103002300 is an apocalyptic number.

10103002300 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 10103002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551260672).

10103002300 is an abundant number, since it is smaller than the sum of its proper divisors (12999519044).

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

10103002300 is a wasteful number, since it uses less digits than its factorization.

10103002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10103002300 its reverse (320030101), we get a palindrome (10423032401).

The spelling of 10103002300 in words is "ten billion, one hundred three million, two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 113 124 151 155 191 226 302 310 382 452 565 604 620 755 764 775 955 1130 1510 1550 1910 2260 2825 3020 3100 3503 3775 3820 4681 4775 5650 5921 7006 7550 9362 9550 11300 11842 14012 15100 17063 17515 18724 19100 21583 23405 23684 28841 29605 34126 35030 43166 46810 57682 59210 68252 70060 85315 86332 87575 93620 107915 115364 117025 118420 144205 148025 170630 175150 215830 234050 288410 296050 341260 350300 426575 431660 468100 528953 539575 576820 592100 669073 721025 853150 894071 1057906 1079150 1338146 1442050 1706300 1788142 2115812 2158300 2644765 2676292 2884100 3259033 3345365 3576284 4470355 5289530 6518066 6690730 8940710 10579060 13036132 13223825 13381460 16295165 16726825 17881420 22351775 26447650 32590330 33453650 44703550 52895300 65180660 66907300 81475825 89407100 101030023 162951650 202060046 325903300 404120092 505150115 1010300230 2020600460 2525750575 5051501150 10103002300