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21132311220 = 22325235104423
BaseRepresentation
bin10011101011100101…
…010111101010110100
32000112202011122020100
4103223211113222310
5321234332424340
613412534434100
71345451452536
oct235345275264
960482148210
1021132311220
118a64703219
124119202930
131cba15c587
141046835856
1583a385830
hex4eb957ab4

21132311220 has 72 divisors (see below), whose sum is σ = 66888372096. Its totient is φ = 5390269632.

The previous prime is 21132311201. The next prime is 21132311237. The reversal of 21132311220 is 2211323112.

21132311220 is a `hidden beast` number, since 2 + 1 + 132 + 311 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21132311193 and 21132311202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2548072 + ... + 2556351.

It is an arithmetic number, because the mean of its divisors is an integer number (929005168).

Almost surely, 221132311220 is an apocalyptic number.

21132311220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132311220 is an abundant number, since it is smaller than the sum of its proper divisors (45756060876).

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

21132311220 is a wasteful number, since it uses less digits than its factorization.

21132311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104461 (or 5104456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21132311220 its reverse (2211323112), we get a palindrome (23343634332).

The spelling of 21132311220 in words is "twenty-one billion, one hundred thirty-two million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 5104423 10208846 15313269 20417692 25522115 30626538 45939807 51044230 61253076 76566345 91879614 102088460 117401729 153132690 183759228 229699035 234803458 306265380 352205187 459398070 469606916 587008645 704410374 918796140 1056615561 1174017290 1408820748 1761025935 2113231122 2348034580 3522051870 4226462244 5283077805 7044103740 10566155610 21132311220