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102122021010222 = 23229319363295603
BaseRepresentation
bin10111001110000100100010…
…110010010011101100101110
3111101120202210020012221120200
4113032010202302103230232
5101341131344334311342
61001110113033254330
730340033611131643
oct2716044262235456
9441522706187520
10102122021010222
112a5a27845a9a64
12b553b222643a6
1344ca0b04b6bc5
141b30a371b1dca
15bc1664db594c
hex5ce122c93b2e

102122021010222 has 24 divisors (see below), whose sum is σ = 222019547395464. Its totient is φ = 33924493894704.

The previous prime is 102122021010221. The next prime is 102122021010227. The reversal of 102122021010222 is 222010120221201.

It is a happy number.

102122021010222 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 220 + 210 + 10 + 222 = 666.

102122021010222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 102122021010195 and 102122021010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122021010221) 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 11 ways as a sum of consecutive naturals, for example, 9681642528 + ... + 9681653075.

It is an arithmetic number, because the mean of its divisors is an integer number (9250814474811).

Almost surely, 2102122021010222 is an apocalyptic number.

102122021010222 is an abundant number, since it is smaller than the sum of its proper divisors (119897526385242).

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

102122021010222 is a wasteful number, since it uses less digits than its factorization.

102122021010222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19363295904 (or 19363295901 counting only the distinct ones).

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

Adding to 102122021010222 its reverse (222010120221201), we get a palindrome (324132141231423).

The spelling of 102122021010222 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-one million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 293 586 879 1758 2637 5274 19363295603 38726591206 58089886809 116179773618 174269660427 348539320854 5673445611679 11346891223358 17020336835037 34040673670074 51061010505111 102122021010222