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212021113320 = 233253715917501
BaseRepresentation
bin1100010101110101110…
…0010111000111101000
3202021021010010111212200
43011131130113013220
511433204401111240
6241222352140200
721214036504422
oct3053534270750
9667233114780
10212021113320
1181a104335a5
1235111537660
1316cbb966a93
14a394837812
1557ad9b5930
hex315d7171e8

212021113320 has 96 divisors (see below), whose sum is σ = 707692138920. Its totient is φ = 55010880000.

The previous prime is 212021113301. The next prime is 212021113321. The reversal of 212021113320 is 23311120212.

212021113320 is a `hidden beast` number, since 2 + 120 + 211 + 1 + 332 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201362202756 + 10658910564 = 448734^2 + 103242^2 .

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 = 212021113293 and 212021113302.

It is not an unprimeable number, because it can be changed into a prime (212021113321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7945431 + ... + 7972070.

Almost surely, 2212021113320 is an apocalyptic number.

212021113320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021113320 is an abundant number, since it is smaller than the sum of its proper divisors (495671025600).

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

212021113320 is a wasteful number, since it uses less digits than its factorization.

212021113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15917555 (or 15917548 counting only the distinct ones).

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

Adding to 212021113320 its reverse (23311120212), we get a palindrome (235332233532).

The spelling of 212021113320 in words is "two hundred twelve billion, twenty-one million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 15917501 31835002 47752503 63670004 79587505 95505006 127340008 143257509 159175010 191010012 238762515 286515018 318350020 382020024 477525030 573030036 588947537 636700040 716287545 955050060 1146060072 1177895074 1432575090 1766842611 1910100120 2355790148 2865150180 2944737685 3533685222 4711580296 5300527833 5730300360 5889475370 7067370444 8834213055 10601055666 11778950740 14134740888 17668426110 21202111332 23557901480 26502639165 35336852220 42404222664 53005278330 70673704440 106010556660 212021113320