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101356530 = 235111013041
BaseRepresentation
bin1100000101010…
…01001111110010
321001201110000120
412002221033302
5201421402110
614020231110
72340342042
oct602511762
9231643016
10101356530
1152238730
1229b3b496
1317cca0a2
14d665722
158d71870
hex60a93f2

101356530 has 64 divisors (see below), whose sum is σ = 268085376. Its totient is φ = 24320000.

The previous prime is 101356483. The next prime is 101356589. The reversal of 101356530 is 35653101.

It is a self number, because there is not a number n which added to its sum of digits gives 101356530.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31810 + ... + 34850.

It is an arithmetic number, because the mean of its divisors is an integer number (4188834).

Almost surely, 2101356530 is an apocalyptic number.

101356530 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 101356530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134042688).

101356530 is an abundant number, since it is smaller than the sum of its proper divisors (166728846).

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

101356530 is a wasteful number, since it uses less digits than its factorization.

101356530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 101356530 is about 10067.5980253484. The cubic root of 101356530 is about 466.2482820437.

The spelling of 101356530 in words is "one hundred one million, three hundred fifty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3041 3333 5555 6082 6666 9123 11110 15205 16665 18246 30410 33330 33451 45615 66902 91230 100353 167255 200706 307141 334510 501765 614282 921423 1003530 1535705 1842846 3071410 3378551 4607115 6757102 9214230 10135653 16892755 20271306 33785510 50678265 101356530