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10222012211220 = 223456309884081
BaseRepresentation
bin1001010010111111111101…
…1010000010000000010100
31100012012210121101010110000
42110233333122002000110
52314434140111224340
633423532205131300
72103341664116235
oct224577732020024
940165717333400
1010222012211220
113291149451317
121191117259b30
13591c159b3844
14274a6884d08c
1512ad70b08d30
hex94bff682014

10222012211220 has 60 divisors (see below), whose sum is σ = 32066830904724. Its totient is φ = 2725869922560.

The previous prime is 10222012211209. The next prime is 10222012211227. The reversal of 10222012211220 is 2211221022201.

It is a happy number.

10222012211220 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 1 + 221 + 1 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1165078454544 + 9056933756676 = 1079388^2 + 3009474^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 10222012211193 and 10222012211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222012211227) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3154940421 + ... + 3154943660.

Almost surely, 210222012211220 is an apocalyptic number.

10222012211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222012211220 is an abundant number, since it is smaller than the sum of its proper divisors (21844818693504).

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

10222012211220 is a wasteful number, since it uses less digits than its factorization.

10222012211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6309884102 (or 6309884091 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222012211220 its reverse (2211221022201), we get a palindrome (12433233233421).

The spelling of 10222012211220 in words is "ten trillion, two hundred twenty-two billion, twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 6309884081 12619768162 18929652243 25239536324 31549420405 37859304486 56788956729 63098840810 75718608972 94648261215 113577913458 126197681620 170366870187 189296522430 227155826916 283944783645 340733740374 378593044860 511100610561 567889567290 681467480748 851834350935 1022201221122 1135779134580 1703668701870 2044402442244 2555503052805 3407337403740 5111006105610 10222012211220