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21010212212280 = 23357910589209299
BaseRepresentation
bin1001100011011110100100…
…01111000100111000111000
32202101120000210222001210020
410301233102033010320320
510223212403311243110
6112403542551450440
74265636434112364
oct461572217047070
982346023861706
1021010212212280
116770421071195
122433b05686a20
13b9534020b825
14528c84aa82a4
152667cce27d70
hex131bd23c4e38

21010212212280 has 128 divisors (see below), whose sum is σ = 63834825600000. Its totient is φ = 5531253871104.

The previous prime is 21010212212279. The next prime is 21010212212281. The reversal of 21010212212280 is 8221221201012.

It is an interprime number because it is at equal distance from previous prime (21010212212279) and next prime (21010212212281).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21010212212280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010212212281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100279071 + ... + 100488369.

It is an arithmetic number, because the mean of its divisors is an integer number (498709575000).

Almost surely, 221010212212280 is an apocalyptic number.

21010212212280 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 21010212212280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31917412800000).

21010212212280 is an abundant number, since it is smaller than the sum of its proper divisors (42824613387720).

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

21010212212280 is a wasteful number, since it uses less digits than its factorization.

21010212212280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219981 (or 219977 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 21010212212280 its reverse (8221221201012), we get a palindrome (29231433413292).

The spelling of 21010212212280 in words is "twenty-one trillion, ten billion, two hundred twelve million, two hundred twelve thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 10589 21178 31767 42356 52945 63534 84712 105890 127068 158835 209299 211780 254136 317670 418598 423560 627897 635340 836531 837196 1046495 1255794 1270680 1673062 1674392 2092990 2509593 2511588 3139485 3346124 4182655 4185980 5019186 5023176 6278970 6692248 8365310 8371960 10038372 12547965 12557940 16534621 16730620 20076744 25095930 25115880 33069242 33461240 49603863 50191860 66138484 82673105 99207726 100383720 132276968 165346210 198415452 248019315 330692420 396830904 496038630 661384840 992077260 1984154520 2216267111 4432534222 6648801333 8865068444 11081335555 13297602666 17730136888 22162671110 26595205332 33244006665 44325342220 53190410664 66488013330 88650684440 132976026660 175085101769 265952053320 350170203538 525255305307 700340407076 875425508845 1050510610614 1400680814152 1750851017690 2101021221228 2626276526535 3501702035380 4202042442456 5252553053070 7003404070760 10505106106140 21010212212280