Search a number
-
+
13032311320 = 23571371811877
BaseRepresentation
bin11000010001100100…
…10100101000011000
31020122020121000021001
430020302110220120
5203142232430240
65553103354344
7640644550510
oct141062245030
936566530231
1013032311320
115588444426
1226385b29b4
1312c8ca5a22
148b8b7a840
155141d589a
hex308c94a18

13032311320 has 128 divisors (see below), whose sum is σ = 33960850560. Its totient is φ = 4408750080.

The previous prime is 13032311311. The next prime is 13032311321. The reversal of 13032311320 is 2311323031.

It is a super-2 number, since 2×130323113202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032311321) 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, 6942222 + ... + 6944098.

It is an arithmetic number, because the mean of its divisors is an integer number (265319145).

Almost surely, 213032311320 is an apocalyptic number.

13032311320 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 13032311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16980425280).

13032311320 is an abundant number, since it is smaller than the sum of its proper divisors (20928539240).

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

13032311320 is a wasteful number, since it uses less digits than its factorization.

13032311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13032311320 its reverse (2311323031), we get a palindrome (15343634351).

The spelling of 13032311320 in words is "thirteen billion, thirty-two million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 137 140 181 274 280 362 548 685 724 905 959 1096 1267 1370 1448 1810 1877 1918 2534 2740 3620 3754 3836 4795 5068 5480 6335 7240 7508 7672 9385 9590 10136 12670 13139 15016 18770 19180 24797 25340 26278 37540 38360 49594 50680 52556 65695 75080 99188 105112 123985 131390 173579 198376 247970 257149 262780 339737 347158 495940 514298 525560 679474 694316 867895 991880 1028596 1285745 1358948 1388632 1698685 1735790 1800043 2057192 2378159 2571490 2717896 3397370 3471580 3600086 4756318 5142980 6794740 6943160 7200172 9000215 9512636 10285960 11890795 13589480 14400344 18000430 19025272 23781590 36000860 46543969 47563180 72001720 93087938 95126360 186175876 232719845 325807783 372351752 465439690 651615566 930879380 1303231132 1629038915 1861758760 2606462264 3258077830 6516155660 13032311320