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103056231300 = 2235211119326177
BaseRepresentation
bin101111111111010100…
…0010100101110000100
3100212000011110222102120
41133332220110232010
53142024343400200
6115202100405540
710305554340561
oct1377650245604
9325004428376
10103056231300
113a7846129a0
1217b813a68b0
139944a51729
144db8d03868
152a326d99a0
hex17fea14b84

103056231300 has 144 divisors (see below), whose sum is σ = 325568037312. Its totient is φ = 24961433600.

The previous prime is 103056231277. The next prime is 103056231323. The reversal of 103056231300 is 3132650301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103056231277) and next prime (103056231323).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3923812 + ... + 3949988.

It is an arithmetic number, because the mean of its divisors is an integer number (2260889148).

Almost surely, 2103056231300 is an apocalyptic number.

103056231300 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 103056231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162784018656).

103056231300 is an abundant number, since it is smaller than the sum of its proper divisors (222511806012).

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

103056231300 is a wasteful number, since it uses less digits than its factorization.

103056231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27398 (or 27391 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 103056231300 its reverse (3132650301), we get a palindrome (106188881601).

The spelling of 103056231300 in words is "one hundred three billion, fifty-six million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1193 1650 2386 3300 3579 4772 5965 7158 11930 13123 14316 17895 23860 26177 26246 29825 35790 39369 52354 52492 59650 65615 71580 78531 78738 89475 104708 119300 130885 131230 157062 157476 178950 196845 261770 262460 287947 314124 328075 357900 392655 393690 523540 575894 654425 656150 785310 787380 863841 984225 1151788 1308850 1312300 1439735 1570620 1727682 1963275 1968450 2617700 2879470 3455364 3926550 3936900 4319205 5758940 7198675 7853100 8638410 14397350 17276820 21596025 28794700 31229161 43192050 62458322 86384100 93687483 124916644 156145805 187374966 312291610 343520771 374749932 468437415 624583220 687041542 780729025 936874830 1030562313 1374083084 1561458050 1717603855 1873749660 2061124626 2342187075 3122916100 3435207710 4122249252 4684374150 5152811565 6870415420 8588019275 9368748300 10305623130 17176038550 20611246260 25764057825 34352077100 51528115650 103056231300