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101050530 = 23573891237
BaseRepresentation
bin1100000010111…
…10100010100010
321001010220021020
412001132202202
5201332104110
614005510310
72334625650
oct601364242
9231126236
10101050530
1152049839
1229a12396
1317c20a19
14d5c5dd0
158d10d70
hex605e8a2

101050530 has 64 divisors (see below), whose sum is σ = 278104320. Its totient is φ = 23019264.

The previous prime is 101050513. The next prime is 101050541. The reversal of 101050530 is 35050101.

It is a super-2 number, since 2×1010505302 = 20422419226561800, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 81072 + ... + 82308.

It is an arithmetic number, because the mean of its divisors is an integer number (4345380).

Almost surely, 2101050530 is an apocalyptic number.

101050530 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 101050530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139052160).

101050530 is an abundant number, since it is smaller than the sum of its proper divisors (177053790).

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

101050530 is a wasteful number, since it uses less digits than its factorization.

101050530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 101050530 is about 10052.3892682287. The cubic root of 101050530 is about 465.7786007666.

The spelling of 101050530 in words is "one hundred one million, fifty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 389 778 1167 1237 1945 2334 2474 2723 3711 3890 5446 5835 6185 7422 8169 8659 11670 12370 13615 16338 17318 18555 25977 27230 37110 40845 43295 51954 81690 86590 129885 259770 481193 962386 1443579 2405965 2887158 3368351 4811930 6736702 7217895 10105053 14435790 16841755 20210106 33683510 50525265 101050530