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136310100 = 223523114657
BaseRepresentation
bin10000001111111…
…10110101010100
3100111111021022020
420013332311110
5234343410400
621305333140
73243421353
oct1007766524
9314437266
10136310100
116aa41883
12397971b0
1322317984
141416399a
15be782a0
hex81fed54

136310100 has 72 divisors (see below), whose sum is σ = 407140608. Its totient is φ = 35174400.

The previous prime is 136310099. The next prime is 136310107. The reversal of 136310100 is 1013631.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 136310100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136310107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1972 + ... + 16628.

Almost surely, 2136310100 is an apocalyptic number.

136310100 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 136310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203570304).

136310100 is an abundant number, since it is smaller than the sum of its proper divisors (270830508).

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

136310100 is a wasteful number, since it uses less digits than its factorization.

136310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14705 (or 14698 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 136310100 is about 11675.1916472493. The cubic root of 136310100 is about 514.6468814450.

Adding to 136310100 its reverse (1013631), we get a palindrome (137323731).

The spelling of 136310100 in words is "one hundred thirty-six million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 14657 29314 43971 58628 73285 87942 146570 175884 219855 293140 366425 439710 454367 732850 879420 908734 1099275 1363101 1465700 1817468 2198550 2271835 2726202 4397100 4543670 5452404 6815505 9087340 11359175 13631010 22718350 27262020 34077525 45436700 68155050 136310100