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132800011320 = 233519181321799
BaseRepresentation
bin111101110101101111…
…1110101110000111000
3110200210001122120001210
41323223133311300320
54133433300330240
6141001341043120
712410623320444
oct1735337656070
9420701576053
10132800011320
1151358165079
12218a25564a0
13c6a5006c72
1465db2d3824
1536c3aa1780
hex1eeb7f5c38

132800011320 has 128 divisors (see below), whose sum is σ = 421686720000. Its totient is φ = 33364016640.

The previous prime is 132800011319. The next prime is 132800011321. The reversal of 132800011320 is 23110008231.

It is an interprime number because it is at equal distance from previous prime (132800011319) and next prime (132800011321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132800011321) 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, 251781 + ... + 573579.

It is an arithmetic number, because the mean of its divisors is an integer number (3294427500).

Almost surely, 2132800011320 is an apocalyptic number.

132800011320 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 132800011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210843360000).

132800011320 is an abundant number, since it is smaller than the sum of its proper divisors (288886708680).

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

132800011320 is a wasteful number, since it uses less digits than its factorization.

132800011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322013 (or 322009 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 132800011320 its reverse (23110008231), we get a palindrome (155910019551).

The spelling of 132800011320 in words is "one hundred thirty-two billion, eight hundred million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 181 190 228 285 362 380 456 543 570 724 760 905 1086 1140 1448 1810 2172 2280 2715 3439 3620 4344 5430 6878 7240 10317 10860 13756 17195 20634 21720 27512 34390 41268 51585 68780 82536 103170 137560 206340 321799 412680 643598 965397 1287196 1608995 1930794 2574392 3217990 3861588 4826985 6114181 6435980 7723176 9653970 12228362 12871960 18342543 19307940 24456724 30570905 36685086 38615880 48913448 58245619 61141810 73370172 91712715 116491238 122283620 146740344 174736857 183425430 232982476 244567240 291228095 349473714 366850860 465964952 582456190 698947428 733701720 873684285 1106666761 1164912380 1397894856 1747368570 2213333522 2329824760 3320000283 3494737140 4426667044 5533333805 6640000566 6989474280 8853334088 11066667610 13280001132 16600001415 22133335220 26560002264 33200002830 44266670440 66400005660 132800011320