Search a number
-
+
132203011000 = 2353235997423
BaseRepresentation
bin111101100011111101…
…0011101101110111000
3110122020110021210120211
41323013322131232320
54131222432323000
6140422213200504
712360054023644
oct1730772355670
9418213253524
10132203011000
1151081175985
1221756630134
13c60b41b838
146581ccbc24
15368b4777ba
hex1ec7e9dbb8

132203011000 has 128 divisors (see below), whose sum is σ = 328279910400. Its totient is φ = 49724188800.

The previous prime is 132203010943. The next prime is 132203011021. The reversal of 132203011000 is 110302231.

It is a super-2 number, since 2×1322030110002 (a number of 23 digits) contains 22 as substring.

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, 1308289 + ... + 1405711.

It is an arithmetic number, because the mean of its divisors is an integer number (2564686800).

Almost surely, 2132203011000 is an apocalyptic number.

132203011000 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 132203011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164139955200).

132203011000 is an abundant number, since it is smaller than the sum of its proper divisors (196076899400).

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

132203011000 is a wasteful number, since it uses less digits than its factorization.

132203011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97526 (or 97512 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 132203011000 its reverse (110302231), we get a palindrome (132313313231).

The spelling of 132203011000 in words is "one hundred thirty-two billion, two hundred three million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 59 92 100 115 118 125 184 200 230 236 250 295 460 472 500 575 590 920 1000 1150 1180 1357 1475 2300 2360 2714 2875 2950 4600 5428 5750 5900 6785 7375 10856 11500 11800 13570 14750 23000 27140 29500 33925 54280 59000 67850 97423 135700 169625 194846 271400 339250 389692 487115 678500 779384 974230 1357000 1948460 2240729 2435575 3896920 4481458 4871150 5747957 8962916 9742300 11203645 11495914 12177875 17925832 19484600 22407290 22991828 24355750 28739785 44814580 45983656 48711500 56018225 57479570 89629160 97423000 112036450 114959140 132203011 143698925 224072900 229918280 264406022 280091125 287397850 448145800 528812044 560182250 574795700 661015055 718494625 1057624088 1120364500 1149591400 1322030110 1436989250 2240729000 2644060220 2873978500 3305075275 5288120440 5747957000 6610150550 13220301100 16525376375 26440602200 33050752750 66101505500 132203011000