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3201302020 = 2257191319187
BaseRepresentation
bin1011111011001111…
…1111111000000100
322021002210222210111
42332303333320010
523024013131040
61245355002404
7142221422020
oct27663777004
98232728714
103201302020
1113a3062654
12754139404
133c0306367
14225247380
1513b0a8dea
hexbecffe04

3201302020 has 96 divisors (see below), whose sum is σ = 8150123520. Its totient is φ = 1031771520.

The previous prime is 3201302003. The next prime is 3201302029. The reversal of 3201302020 is 202031023.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3201302029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343867 + ... + 353053.

It is an arithmetic number, because the mean of its divisors is an integer number (84897120).

Almost surely, 23201302020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075061760).

3201302020 is an abundant number, since it is smaller than the sum of its proper divisors (4948821500).

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

3201302020 is a wasteful number, since it uses less digits than its factorization.

3201302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9353 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3201302020 is about 56580.0496641705. The cubic root of 3201302020 is about 1473.8124341344.

Adding to 3201302020 its reverse (202031023), we get a palindrome (3403333043).

The spelling of 3201302020 in words is "three billion, two hundred one million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 131 133 140 190 262 266 380 524 532 655 665 917 1310 1330 1834 2489 2620 2660 3668 4585 4978 9170 9187 9956 12445 17423 18340 18374 24890 34846 36748 45935 49780 64309 69692 87115 91870 128618 174230 174553 183740 257236 321545 348460 349106 643090 698212 872765 1203497 1221871 1286180 1745530 2406994 2443742 3491060 4813988 4887484 6017485 6109355 8424479 12034970 12218710 16848958 22866443 24069940 24437420 33697916 42122395 45732886 84244790 91465772 114332215 160065101 168489580 228664430 320130202 457328860 640260404 800325505 1600651010 3201302020