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101030080 = 2652391321
BaseRepresentation
bin1100000010110…
…01100011000000
321001002212012211
412001121203000
5201330430310
614005231504
72334512224
oct601314300
9231085184
10101030080
1152035438
1229a02594
1317c14618
14d5bc784
158d09c8a
hex60598c0

101030080 has 56 divisors (see below), whose sum is σ = 241767360. Its totient is φ = 40212480.

The previous prime is 101030077. The next prime is 101030081. The reversal of 101030080 is 80030101.

It is a self number, because there is not a number n which added to its sum of digits gives 101030080.

It is not an unprimeable number, because it can be changed into a prime (101030081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75820 + ... + 77140.

Almost surely, 2101030080 is an apocalyptic number.

101030080 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 101030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120883680).

101030080 is an abundant number, since it is smaller than the sum of its proper divisors (140737280).

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

101030080 is a wasteful number, since it uses less digits than its factorization.

101030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101030080 is about 10051.3720456463. The cubic root of 101030080 is about 465.7471781539.

Adding to 101030080 its reverse (80030101), we get a palindrome (181060181).

The spelling of 101030080 in words is "one hundred one million, thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 239 320 478 956 1195 1321 1912 2390 2642 3824 4780 5284 6605 7648 9560 10568 13210 15296 19120 21136 26420 38240 42272 52840 76480 84544 105680 211360 315719 422720 631438 1262876 1578595 2525752 3157190 5051504 6314380 10103008 12628760 20206016 25257520 50515040 101030080