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135103100 = 225211263467
BaseRepresentation
bin10000000110110…
…00001001111100
3100102012221121112
420003120021330
5234041244400
621223421152
73230233406
oct1003301174
9312187545
10135103100
116a297a60
12392b47b8
1321cb4482
1413d2bb76
15bcda835
hex80d827c

135103100 has 72 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 48836800.

The previous prime is 135103099. The next prime is 135103103. The reversal of 135103100 is 1301531.

It is a super-2 number, since 2×1351031002 = 36505695259220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135103103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289067 + ... + 289533.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2135103100 is an apocalyptic number.

135103100 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 135103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

135103100 is an abundant number, since it is smaller than the sum of its proper divisors (186626308).

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

135103100 is a wasteful number, since it uses less digits than its factorization.

135103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 135103100 is about 11623.3859094500. The cubic root of 135103100 is about 513.1233422691.

Adding to 135103100 its reverse (1301531), we get a palindrome (136404631).

The spelling of 135103100 in words is "one hundred thirty-five million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 263 275 467 526 550 934 1052 1100 1315 1868 2335 2630 2893 4670 5137 5260 5786 6575 9340 10274 11572 11675 13150 14465 20548 23350 25685 26300 28930 46700 51370 57860 72325 102740 122821 128425 144650 245642 256850 289300 491284 513700 614105 1228210 1351031 2456420 2702062 3070525 5404124 6141050 6755155 12282100 13510310 27020620 33775775 67551550 135103100