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1010232020 = 225727114519
BaseRepresentation
bin111100001101101…
…110101011010100
32121101221002210202
4330031232223110
54032104411040
6244124440032
734014554600
oct7415565324
92541832722
101010232020
114792822a6
122423a9018
131313b0535
1498252500
155da53015
hex3c36ead4

1010232020 has 72 divisors (see below), whose sum is σ = 2502783360. Its totient is φ = 341463360.

The previous prime is 1010232017. The next prime is 1010232031. The reversal of 1010232020 is 202320101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1010231992 and 1010232010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62321 + ... + 76839.

It is an arithmetic number, because the mean of its divisors is an integer number (34760880).

Almost surely, 21010232020 is an apocalyptic number.

1010232020 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 1010232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251391680).

1010232020 is an abundant number, since it is smaller than the sum of its proper divisors (1492551340).

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

1010232020 is a wasteful number, since it uses less digits than its factorization.

1010232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14613 (or 14604 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1010232020 is about 31784.1473064797. The cubic root of 1010232020 is about 1003.3991063186.

Adding to 1010232020 its reverse (202320101), we get a palindrome (1212552121).

The spelling of 1010232020 in words is "one billion, ten million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 71 98 140 142 196 245 284 355 490 497 710 980 994 1420 1988 2485 3479 4970 6958 9940 13916 14519 17395 29038 34790 58076 69580 72595 101633 145190 203266 290380 406532 508165 711431 1016330 1030849 1422862 2032660 2061698 2845724 3557155 4123396 5154245 7114310 7215943 10308490 14228620 14431886 20616980 28863772 36079715 50511601 72159430 101023202 144318860 202046404 252558005 505116010 1010232020