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10122122022021 = 3323101161383301
BaseRepresentation
bin1001001101001011110101…
…1111001100110010000101
31022211122222002100202022000
42103102331133030302011
52311320101214201041
633310012203455513
72063204422403652
oct223227537146205
938748862322260
1010122122022021
113252849aa8749
12117589a227599
13585686b71309
1426dcb0214c29
15128476360bb6
hex934bd7ccc85

10122122022021 has 32 divisors (see below), whose sum is σ = 15802652931840. Its totient is φ = 6390778680000.

The previous prime is 10122122022011. The next prime is 10122122022053. The reversal of 10122122022021 is 12022022122101.

It is a happy number.

10122122022021 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 220 + 220 + 2 + 1 = 666.

It is not a de Polignac number, because 10122122022021 - 25 = 10122122021989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122122021985 and 10122122022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122122022011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80628930 + ... + 80754371.

It is an arithmetic number, because the mean of its divisors is an integer number (493832904120).

Almost surely, 210122122022021 is an apocalyptic number.

It is an amenable number.

10122122022021 is a deficient number, since it is larger than the sum of its proper divisors (5680530909819).

10122122022021 is a wasteful number, since it uses less digits than its factorization.

10122122022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161383434 (or 161383428 counting only the distinct ones).

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

Adding to 10122122022021 its reverse (12022022122101), we get a palindrome (22144144144122).

It can be divided in two parts, 101 and 22122022021, that added together give a palindrome (22122022122).

The spelling of 10122122022021 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty-two thousand, twenty-one".

Divisors: 1 3 9 23 27 69 101 207 303 621 909 2323 2727 6969 20907 62721 161383301 484149903 1452449709 3711815923 4357349127 11135447769 16299713401 33406343307 48899140203 100219029921 146697420609 374893408223 440092261827 1124680224669 3374040674007 10122122022021