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10201020 = 22351773137
BaseRepresentation
bin100110111010…
…011110111100
3201012021011120
4212322132330
510102413040
61002350540
7152464404
oct46723674
921167146
1010201020
1158381a5
1234bb450
13216220b
1414d7804
15d677d0
hex9ba7bc

10201020 has 96 divisors (see below), whose sum is σ = 30881088. Its totient is φ = 2506752.

The previous prime is 10201013. The next prime is 10201049. The reversal of 10201020 is 2010201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74392 + ... + 74528.

It is an arithmetic number, because the mean of its divisors is an integer number (321678).

Almost surely, 210201020 is an apocalyptic number.

10201020 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 10201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15440544).

10201020 is an abundant number, since it is smaller than the sum of its proper divisors (20680068).

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

10201020 is a wasteful number, since it uses less digits than its factorization.

10201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10201020 is about 3193.9035677365. The cubic root of 10201020 is about 216.8775172937.

Adding to 10201020 its reverse (2010201), we get a palindrome (12211221).

The spelling of 10201020 in words is "ten million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 73 85 102 137 146 170 204 219 255 274 292 340 365 411 438 510 548 685 730 822 876 1020 1095 1241 1370 1460 1644 2055 2190 2329 2482 2740 3723 4110 4380 4658 4964 6205 6987 7446 8220 9316 10001 11645 12410 13974 14892 18615 20002 23290 24820 27948 30003 34935 37230 40004 46580 50005 60006 69870 74460 100010 120012 139740 150015 170017 200020 300030 340034 510051 600060 680068 850085 1020102 1700170 2040204 2550255 3400340 5100510 10201020