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21213012223221 = 3713541859916703
BaseRepresentation
bin1001101001011000010100…
…00011101110010011110101
32210002221111021222001012120
410310230022003232103311
510240023222112120341
6113041042343510153
74316406134551530
oct464541203562365
983087437861176
1021213012223221
11683942a418015
122467282a58359
13bab4bc65cbc0
14534a029b3a17
1526bbec0da066
hex134b0a0ee4f5

21213012223221 has 64 divisors (see below), whose sum is σ = 34881586790400. Its totient is φ = 11166631176960.

The previous prime is 21213012223199. The next prime is 21213012223237. The reversal of 21213012223221 is 12232221031212.

It is not a de Polignac number, because 21213012223221 - 215 = 21213012190453 is a prime.

It is a super-2 number, since 2×212130122232212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21213012223191 and 21213012223200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21213012223261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1270003756 + ... + 1270020458.

It is an arithmetic number, because the mean of its divisors is an integer number (545024793600).

Almost surely, 221213012223221 is an apocalyptic number.

21213012223221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21213012223221 is a deficient number, since it is larger than the sum of its proper divisors (13668574567179).

21213012223221 is a wasteful number, since it uses less digits than its factorization.

21213012223221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25866.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21213012223221 its reverse (12232221031212), we get a palindrome (33445233254433).

The spelling of 21213012223221 in words is "twenty-one trillion, two hundred thirteen billion, twelve million, two hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 7 13 21 39 91 273 541 1623 3787 7033 8599 11361 16703 21099 25797 49231 50109 60193 111787 116921 147693 180579 217139 335361 350763 651417 782509 1519973 2347527 4559919 4652059 9036323 13956177 27108969 32564413 60476767 63254261 97693239 117472199 143629097 181430301 189762783 352416597 423337369 430887291 822305393 1005403679 1270012107 1867178261 2466916179 3016211037 5601534783 13070247827 39210743481 77703341477 233110024431 543923390339 1010143439201 1631770171017 3030430317603 7071004074407 21213012223221