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101023020 = 22325780177
BaseRepresentation
bin1100000010101…
…11110100101100
321001002111112100
412001113310230
5201330214040
614005135100
72334452520
oct601276454
9231074470
10101023020
11520300aa
12299ba490
1317c11347
14d5b9d80
158d07b30
hex6057d2c

101023020 has 72 divisors (see below), whose sum is σ = 350217504. Its totient is φ = 23090688.

The previous prime is 101023007. The next prime is 101023051. The reversal of 101023020 is 20320101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101022993 and 101023011.

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 23 ways as a sum of consecutive naturals, for example, 38829 + ... + 41348.

It is an arithmetic number, because the mean of its divisors is an integer number (4864132).

Almost surely, 2101023020 is an apocalyptic number.

101023020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101023020 is an abundant number, since it is smaller than the sum of its proper divisors (249194484).

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

101023020 is a wasteful number, since it uses less digits than its factorization.

101023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80199 (or 80194 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101023020 is about 10051.0208436755. The cubic root of 101023020 is about 465.7363290692.

Adding to 101023020 its reverse (20320101), we get a palindrome (121343121).

The spelling of 101023020 in words is "one hundred one million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 80177 160354 240531 320708 400885 481062 561239 721593 801770 962124 1122478 1202655 1443186 1603540 1683717 2244956 2405310 2806195 2886372 3367434 3607965 4810620 5051151 5612390 6734868 7215930 8418585 10102302 11224780 14431860 16837170 20204604 25255755 33674340 50511510 101023020