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2121243320 = 235724325169
BaseRepresentation
bin111111001101111…
…1001101010111000
312110211111022210102
41332123321222320
513321014241240
6550253334532
7103365161600
oct17633715270
95424438712
102121243320
11999428559
124b2497448
1327a618181
14161a19c00
15c6361815
hex7e6f9ab8

2121243320 has 96 divisors (see below), whose sum is σ = 5681372400. Its totient is φ = 710341632.

The previous prime is 2121243283. The next prime is 2121243331. The reversal of 2121243320 is 233421212.

It is a super-3 number, since 3×21212433203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2121243292 and 2121243301.

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, 71696 + ... + 96864.

Almost surely, 22121243320 is an apocalyptic number.

2121243320 is a gapful number since it is divisible by the number (20) 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 2121243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840686200).

2121243320 is an abundant number, since it is smaller than the sum of its proper divisors (3560129080).

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

2121243320 is a wasteful number, since it uses less digits than its factorization.

2121243320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25237 (or 25226 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2121243320 is about 46056.9573463120. The cubic root of 2121243320 is about 1284.8827420042.

Adding to 2121243320 its reverse (233421212), we get a palindrome (2354664532).

The spelling of 2121243320 in words is "two billion, one hundred twenty-one million, two hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 49 56 70 86 98 140 172 196 215 245 280 301 344 392 430 490 602 860 980 1204 1505 1720 1960 2107 2408 3010 4214 6020 8428 10535 12040 16856 21070 25169 42140 50338 84280 100676 125845 176183 201352 251690 352366 503380 704732 880915 1006760 1082267 1233281 1409464 1761830 2164534 2466562 3523660 4329068 4933124 5411335 6166405 7047320 7575869 8658136 9866248 10822670 12332810 15151738 21645340 24665620 30303476 37879345 43290680 49331240 53031083 60606952 75758690 106062166 151517380 212124332 265155415 303034760 424248664 530310830 1060621660 2121243320