Search a number
-
+
13202033011000 = 2353373407104729
BaseRepresentation
bin1100000000011101011001…
…1111001110100100111000
31201202002202101020212120121
43000013112133032210320
53212300230422323000
644024532533103024
72531546454016231
oct300072637164470
951662671225517
1013202033011000
11422aa50505179
121592786187a74
13749c3c23c282
14338da6116088
1517d63633eb1a
hexc01d67ce938

13202033011000 has 128 divisors (see below), whose sum is σ = 31737312172800. Its totient is φ = 5136531379200.

The previous prime is 13202033010923. The next prime is 13202033011019. The reversal of 13202033011000 is 11033020231.

It is a super-2 number, since 2×132020330110002 (a number of 27 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, 126006636 + ... + 126111364.

It is an arithmetic number, because the mean of its divisors is an integer number (247947751350).

Almost surely, 213202033011000 is an apocalyptic number.

13202033011000 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 13202033011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15868656086400).

13202033011000 is an abundant number, since it is smaller than the sum of its proper divisors (18535279161800).

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

13202033011000 is a wasteful number, since it uses less digits than its factorization.

13202033011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108194 (or 108180 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13202033011000 its reverse (11033020231), we get a palindrome (13213066031231).

The spelling of 13202033011000 in words is "thirteen trillion, two hundred two billion, thirty-three million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1480 1850 3407 3700 4625 6814 7400 9250 13628 17035 18500 27256 34070 37000 68140 85175 104729 126059 136280 170350 209458 252118 340700 418916 425875 504236 523645 630295 681400 837832 851750 1008472 1047290 1260590 1703500 2094580 2521180 2618225 3151475 3407000 3874973 4189160 5042360 5236450 6302950 7749946 10472900 12605900 13091125 15499892 15757375 19374865 20945800 25211800 26182250 30999784 31514750 38749730 52364500 63029500 77499460 96874325 104729000 126059000 154998920 193748650 356811703 387497300 484371625 713623406 774994600 968743250 1427246812 1784058515 1937486500 2854493624 3568117030 3874973000 7136234060 8920292575 13202033011 14272468120 17840585150 26404066022 35681170300 44601462875 52808132044 66010165055 71362340600 89202925750 105616264088 132020330110 178405851500 264040660220 330050825275 356811703000 528081320440 660101650550 1320203301100 1650254126375 2640406602200 3300508252750 6601016505500 13202033011000