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1032202133000 = 235329311148167
BaseRepresentation
bin11110000010101000000…
…10101001111000001000
310122200021221102021102122
433001110002221320020
5113402422221224000
62110104225550412
7134400634236503
oct17012402517010
93580257367378
101032202133000
11368833216055
1214806a4a5408
137644a95b0cc
1437d5d12613a
151bcb387e085
hexf0540a9e08

1032202133000 has 128 divisors (see below), whose sum is σ = 2579244595200. Its totient is φ = 385783776000.

The previous prime is 1032202132987. The next prime is 1032202133033. The reversal of 1032202133000 is 3312022301.

It is a self number, because there is not a number n which added to its sum of digits gives 1032202133000.

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, 324917 + ... + 1473083.

It is an arithmetic number, because the mean of its divisors is an integer number (20150348400).

Almost surely, 21032202133000 is an apocalyptic number.

1032202133000 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 1032202133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289622297600).

1032202133000 is an abundant number, since it is smaller than the sum of its proper divisors (1547042462200).

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

1032202133000 is a wasteful number, since it uses less digits than its factorization.

1032202133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148248 (or 1148234 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1032202133000 its reverse (3312022301), we get a palindrome (1035514155301).

The spelling of 1032202133000 in words is "one trillion, thirty-two billion, two hundred two million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 31 40 50 58 62 100 116 124 125 145 155 200 232 248 250 290 310 500 580 620 725 775 899 1000 1160 1240 1450 1550 1798 2900 3100 3596 3625 3875 4495 5800 6200 7192 7250 7750 8990 14500 15500 17980 22475 29000 31000 35960 44950 89900 112375 179800 224750 449500 899000 1148167 2296334 4592668 5740835 9185336 11481670 22963340 28704175 33296843 35593177 45926680 57408350 66593686 71186354 114816700 133187372 142372708 143520875 166484215 177965885 229633400 266374744 284745416 287041750 332968430 355931770 574083500 665936860 711863540 832421075 889829425 1032202133 1148167000 1331873720 1423727080 1664842150 1779658850 2064404266 3329684300 3559317700 4128808532 4162105375 4449147125 5161010665 6659368600 7118635400 8257617064 8324210750 8898294250 10322021330 16648421500 17796588500 20644042660 25805053325 33296843000 35593177000 41288085320 51610106650 103220213300 129025266625 206440426600 258050533250 516101066500 1032202133000