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103100130 = 23257374423
BaseRepresentation
bin1100010010100…
…10111011100010
321012000000210100
412021102323202
5202343201010
614121443230
72361223320
oct611227342
9235000710
10103100130
1153219721
122a640516
131848a8c3
14d99ad10
1590b82c0
hex6252ee2

103100130 has 96 divisors (see below), whose sum is σ = 314705664. Its totient is φ = 22923648.

The previous prime is 103100113. The next prime is 103100131. The reversal of 103100130 is 31001301.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21099 + ... + 25521.

It is an arithmetic number, because the mean of its divisors is an integer number (3278184).

Almost surely, 2103100130 is an apocalyptic number.

103100130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157352832).

103100130 is an abundant number, since it is smaller than the sum of its proper divisors (211605534).

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

103100130 is a wasteful number, since it uses less digits than its factorization.

103100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 103100130 is about 10153.8234178067. The cubic root of 103100130 is about 468.9066633682.

Adding to 103100130 its reverse (31001301), we get a palindrome (134101431).

The spelling of 103100130 in words is "one hundred three million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 1110 1295 1554 1665 2331 2590 3330 3885 4423 4662 7770 8846 11655 13269 22115 23310 26538 30961 39807 44230 61922 66345 79614 92883 132690 154805 163651 185766 199035 278649 309610 327302 398070 464415 490953 557298 818255 928830 981906 1145557 1393245 1472859 1636510 2291114 2454765 2786490 2945718 3436671 4909530 5727785 6873342 7364295 10310013 11455570 14728590 17183355 20620026 34366710 51550065 103100130