Search a number
-
+
3321201000 = 233531385159
BaseRepresentation
bin1100010111110101…
…1000000101101000
322120110102111021110
43011331120011220
523300211413000
61305320510320
7145205512515
oct30575300550
98513374243
103321201000
111454805517
1278831b3a0
1340c0c62c0
1423713830c
1514688e850
hexc5f58168

3321201000 has 128 divisors (see below), whose sum is σ = 11159366400. Its totient is φ = 817516800.

The previous prime is 3321200951. The next prime is 3321201011. The reversal of 3321201000 is 1021233.

It is a happy number.

It is a super-2 number, since 2×33212010002 = 22060752164802000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3580 + ... + 81579.

It is an arithmetic number, because the mean of its divisors is an integer number (87182550).

Almost surely, 23321201000 is an apocalyptic number.

3321201000 is a gapful number since it is divisible by the number (30) 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 3321201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579683200).

3321201000 is an abundant number, since it is smaller than the sum of its proper divisors (7838165400).

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

3321201000 is a wasteful number, since it uses less digits than its factorization.

3321201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85196 (or 85182 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3321201000 is about 57629.8620508500. The cubic root of 3321201000 is about 1491.9870490769.

Adding to 3321201000 its reverse (1021233), we get a palindrome (3322222233).

The spelling of 3321201000 in words is "three billion, three hundred twenty-one million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 85159 170318 255477 340636 425795 510954 681272 851590 1021908 1107067 1277385 1703180 2043816 2128975 2214134 2554770 3321201 3406360 4257950 4428268 5109540 5535335 6386925 6642402 8515900 8856536 10219080 10644875 11070670 12773850 13284804 16606005 17031800 21289750 22141340 25547700 26569608 27676675 31934625 33212010 42579500 44282680 51095400 55353350 63869250 66424020 83030025 85159000 110706700 127738500 132848040 138383375 166060050 221413400 255477000 276766750 332120100 415150125 553533500 664240200 830300250 1107067000 1660600500 3321201000