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21132223120 = 245929284341
BaseRepresentation
bin10011101011100101…
…000010001010010000
32000112202000011101101
4103223211002022100
5321234322114440
613412532514144
71345450634641
oct235345021220
960482004341
1021132223120
118a64653008
12411917b954
131cba12b448
1410468116c8
1583a36969a
hex4eb942290

21132223120 has 40 divisors (see below), whose sum is σ = 49185479160. Its totient is φ = 8443760640.

The previous prime is 21132223087. The next prime is 21132223139. The reversal of 21132223120 is 2132223112.

It can be written as a sum of positive squares in 4 ways, for example, as 196448256 + 20935774864 = 14016^2 + 144692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67851 + ... + 216490.

It is an arithmetic number, because the mean of its divisors is an integer number (1229636979).

Almost surely, 221132223120 is an apocalyptic number.

21132223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132223120 is an abundant number, since it is smaller than the sum of its proper divisors (28053256040).

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

21132223120 is a wasteful number, since it uses less digits than its factorization.

21132223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285283 (or 285277 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 21132223120 its reverse (2132223112), we get a palindrome (23264446232).

The spelling of 21132223120 in words is "twenty-one billion, one hundred thirty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 929 1858 3716 4645 7432 9290 14864 18580 37160 74320 284341 568682 1137364 1421705 2274728 2843410 4549456 5686820 11373640 22747280 264152789 528305578 1056611156 1320763945 2113222312 2641527890 4226444624 5283055780 10566111560 21132223120