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11032133020 = 22519299711031
BaseRepresentation
bin10100100011001000…
…01111110110011100
31001110211220102110021
422101210033312130
5140043211224040
65022412521524
7540246404056
oct122144176634
931424812407
1011032133020
114751395907
12217a7802a4
13106a79847c
147692768d6
154487da24a
hex29190fd9c

11032133020 has 96 divisors (see below), whose sum is σ = 25278220800. Its totient is φ = 4028371200.

The previous prime is 11032132999. The next prime is 11032133041. The reversal of 11032133020 is 2033123011.

11032133020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11032132999) and next prime (11032133041).

It is a junction number, because it is equal to n+sod(n) for n = 11032132985 and 11032133003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10699905 + ... + 10700935.

It is an arithmetic number, because the mean of its divisors is an integer number (263314800).

Almost surely, 211032133020 is an apocalyptic number.

11032133020 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 11032133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639110400).

11032133020 is an abundant number, since it is smaller than the sum of its proper divisors (14246087780).

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

11032133020 is a wasteful number, since it uses less digits than its factorization.

11032133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2057 counting only the distinct ones).

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

Adding to 11032133020 its reverse (2033123011), we get a palindrome (13065256031).

It can be divided in two parts, 110321 and 33020, that added together give a palindrome (143341).

The spelling of 11032133020 in words is "eleven billion, thirty-two million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 971 1031 1102 1942 2062 2204 2755 3884 4124 4855 5155 5510 9710 10310 11020 18449 19420 19589 20620 28159 29899 36898 39178 56318 59798 73796 78356 92245 97945 112636 119596 140795 149495 184490 195890 281590 298990 368980 391780 535021 563180 568081 597980 1001101 1070042 1136162 2002202 2140084 2272324 2675105 2840405 4004404 5005505 5350210 5680810 10011010 10700420 11361620 19020919 20022020 29031929 38041838 58063858 76083676 95104595 116127716 145159645 190209190 290319290 380418380 551606651 580638580 1103213302 2206426604 2758033255 5516066510 11032133020