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132021211000 = 2353783227231
BaseRepresentation
bin111101011110100010…
…0111100111101111000
3110121202210012101212111
41322331010330331320
54130334412223000
6140352200422104
712352415530540
oct1727504747570
9417683171774
10132021211000
1150a98593948
1221705777934
13c5ac867583
146565ac6320
15367a515cba
hex1ebd13cf78

132021211000 has 128 divisors (see below), whose sum is σ = 357317775360. Its totient is φ = 44718864000.

The previous prime is 132021210989. The next prime is 132021211073. The reversal of 132021211000 is 112120231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467385 + ... + 694615.

It is an arithmetic number, because the mean of its divisors is an integer number (2791545120).

Almost surely, 2132021211000 is an apocalyptic number.

132021211000 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 132021211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178658887680).

132021211000 is an abundant number, since it is smaller than the sum of its proper divisors (225296564360).

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

132021211000 is a wasteful number, since it uses less digits than its factorization.

132021211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227342 (or 227328 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 132021211000 its reverse (112120231), we get a palindrome (132133331231).

The spelling of 132021211000 in words is "one hundred thirty-two billion, twenty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 83 100 125 140 166 175 200 250 280 332 350 415 500 581 664 700 830 875 1000 1162 1400 1660 1750 2075 2324 2905 3320 3500 4150 4648 5810 7000 8300 10375 11620 14525 16600 20750 23240 29050 41500 58100 72625 83000 116200 145250 227231 290500 454462 581000 908924 1136155 1590617 1817848 2272310 3181234 4544620 5680775 6362468 7953085 9089240 11361550 12724936 15906170 18860173 22723100 28403875 31812340 37720346 39765425 45446200 56807750 63624680 75440692 79530850 94300865 113615500 132021211 150881384 159061700 188601730 198827125 227231000 264042422 318123400 377203460 397654250 471504325 528084844 660106055 754406920 795308500 943008650 1056169688 1320212110 1590617000 1886017300 2357521625 2640424220 3300530275 3772034600 4715043250 5280848440 6601060550 9430086500 13202121100 16502651375 18860173000 26404242200 33005302750 66010605500 132021211000