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1000132211320 = 2351118111255123
BaseRepresentation
bin11101000110111001000…
…01100111001001111000
310112121111221012110022121
432203130201213021320
5112341232321230240
62043242052131024
7132154131346534
oct16433441471170
93477457173277
101000132211320
11356176618250
121419ba306a74
13734097a99a8
1436599c20bc4
151b03818004a
hexe8dc867278

1000132211320 has 64 divisors (see below), whose sum is σ = 2456227463040. Its totient is φ = 363483331200.

The previous prime is 1000132211261. The next prime is 1000132211339. The reversal of 1000132211320 is 231122310001.

1000132211320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10001322113202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000132211294 and 1000132211303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169279 + ... + 1424401.

It is an arithmetic number, because the mean of its divisors is an integer number (38378554110).

Almost surely, 21000132211320 is an apocalyptic number.

1000132211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000132211320 is an abundant number, since it is smaller than the sum of its proper divisors (1456095251720).

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

1000132211320 is a wasteful number, since it uses less digits than its factorization.

1000132211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256956 (or 1256952 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1000132211320 its reverse (231122310001), we get a palindrome (1231254521321).

The spelling of 1000132211320 in words is "one trillion, one hundred thirty-two million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1811 3622 7244 9055 14488 18110 19921 36220 39842 72440 79684 99605 159368 199210 398420 796840 1255123 2510246 5020492 6275615 10040984 12551230 13806353 25102460 27612706 50204920 55225412 69031765 110450824 138063530 276127060 552254120 2273027753 4546055506 9092111012 11365138765 18184222024 22730277530 25003305283 45460555060 50006610566 90921110120 100013221132 125016526415 200026442264 250033052830 500066105660 1000132211320