Search a number
-
+
13232133300 = 22352732572351
BaseRepresentation
bin11000101001011001…
…00101010010110100
31021011011121000111010
430110230211102310
5204044411231200
610025002312220
7645622164051
oct142454452264
937134530433
1013232133300
115680215661
1226934b8670
13132b4c9c99
148d7514028
15526a07150
hex314b254b4

13232133300 has 144 divisors (see below), whose sum is σ = 38977005312. Its totient is φ = 3465216000.

The previous prime is 13232133293. The next prime is 13232133301. The reversal of 13232133300 is 333123231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13232133301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5627125 + ... + 5629475.

It is an arithmetic number, because the mean of its divisors is an integer number (270673648).

Almost surely, 213232133300 is an apocalyptic number.

13232133300 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 13232133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19488502656).

13232133300 is an abundant number, since it is smaller than the sum of its proper divisors (25744872012).

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

13232133300 is a wasteful number, since it uses less digits than its factorization.

13232133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13232133300 its reverse (333123231), we get a palindrome (13565256531).

The spelling of 13232133300 in words is "thirteen billion, two hundred thirty-two million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 257 292 300 365 438 514 730 771 876 1028 1095 1285 1460 1542 1825 2190 2351 2570 3084 3650 3855 4380 4702 5140 5475 6425 7053 7300 7710 9404 10950 11755 12850 14106 15420 18761 19275 21900 23510 25700 28212 35265 37522 38550 47020 56283 58775 70530 75044 77100 93805 112566 117550 141060 171623 176325 187610 225132 235100 281415 343246 352650 375220 469025 514869 562830 604207 686492 705300 858115 938050 1029738 1125660 1208414 1407075 1716230 1812621 1876100 2059476 2416828 2574345 2814150 3021035 3432460 3625242 4290575 5148690 5628300 6042070 7250484 8581150 9063105 10297380 12084140 12871725 15105175 17162300 18126210 25743450 30210350 36252420 44107111 45315525 51486900 60420700 88214222 90631050 132321333 176428444 181262100 220535555 264642666 441071110 529285332 661606665 882142220 1102677775 1323213330 2205355550 2646426660 3308033325 4410711100 6616066650 13232133300