Search a number
-
+
1320311132020 = 225195960739697
BaseRepresentation
bin10011001101101000101…
…011010000111101110100
311200012221202022212101001
4103031220223100331310
5133112444122211040
62450313105413044
7164250353310616
oct23155053207564
94605852285331
101320311132020
11469a39239311
12193a7563a184
1397674099a5a
1447c90d00db6
152452714d59a
hex13368ad0f74

1320311132020 has 96 divisors (see below), whose sum is σ = 2968844860800. Its totient is φ = 491716583424.

The previous prime is 1320311132003. The next prime is 1320311132047. The reversal of 1320311132020 is 202311130231.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 136151812 + ... + 136161508.

It is an arithmetic number, because the mean of its divisors is an integer number (30925467300).

Almost surely, 21320311132020 is an apocalyptic number.

1320311132020 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 1320311132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484422430400).

1320311132020 is an abundant number, since it is smaller than the sum of its proper divisors (1648533728780).

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

1320311132020 is a wasteful number, since it uses less digits than its factorization.

1320311132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15857 (or 15855 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1320311132020 its reverse (202311130231), we get a palindrome (1522622262251).

The spelling of 1320311132020 in words is "one trillion, three hundred twenty billion, three hundred eleven million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 59 76 95 118 190 236 295 380 590 1121 1180 2242 4484 5605 6073 9697 11210 12146 19394 22420 24292 30365 38788 48485 60730 96970 115387 121460 184243 193940 230774 358307 368486 461548 572123 576935 716614 736972 921215 1144246 1153870 1433228 1791535 1842430 2288492 2307740 2860615 3583070 3684860 5721230 6807833 7166140 10870337 11442460 13615666 21740674 27231332 34039165 43481348 54351685 58889881 68078330 108703370 117779762 136156660 217406740 235559524 294449405 588898810 1118907739 1177797620 2237815478 3474502979 4475630956 5594538695 6949005958 11189077390 13898011916 17372514895 22378154780 34745029790 66015556601 69490059580 132031113202 264062226404 330077783005 660155566010 1320311132020