Search a number
-
+
3213000011100 = 2235211288512397
BaseRepresentation
bin101110110000010101101…
…110010110110101011100
3102101011022111100221122010
4232300111232112311130
5410120211000323400
610500010512551220
7451063064323065
oct56602556266534
912334274327563
103213000011100
11102969781a700
1243a84b252510
131a3ca5225b29
14b171d74756c
155889e11d450
hex2ec15b96d5c

3213000011100 has 108 divisors (see below), whose sum is σ = 10218225274712. Its totient is φ = 778909084800.

The previous prime is 3213000011087. The next prime is 3213000011167. The reversal of 3213000011100 is 11100003123.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44219899 + ... + 44292498.

Almost surely, 23213000011100 is an apocalyptic number.

3213000011100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3213000011100 is an abundant number, since it is smaller than the sum of its proper divisors (7005225263612).

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

3213000011100 is a wasteful number, since it uses less digits than its factorization.

3213000011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88512436 (or 88512418 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 3213000011100 its reverse (11100003123), we get a palindrome (3224100014223).

The spelling of 3213000011100 in words is "three trillion, two hundred thirteen billion, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 88512397 177024794 265537191 354049588 442561985 531074382 885123970 973636367 1062148764 1327685955 1770247940 1947272734 2212809925 2655371910 2920909101 3894545468 4425619850 4868181835 5310743820 5841818202 6638429775 8851239700 9736363670 10710000037 11683636404 13276859550 14604545505 19472727340 21420000074 24340909175 26553719100 29209091010 32130000111 42840000148 48681818350 53550000185 58418182020 64260000222 73022727525 97363636700 107100000370 128520000444 146045455050 160650000555 214200000740 267750000925 292090910100 321300001110 535500001850 642600002220 803250002775 1071000003700 1606500005550 3213000011100