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102220022100222 = 232133711806424359
BaseRepresentation
bin10111001111011111110100…
…000110110011000011111110
3111101221010202002120010210200
4113033133310012303003332
5101344233101124201342
61001223121352544330
730350103303505335
oct2717376406630376
9441833662503720
10102220022100222
112a6302a4672424
12b56ab126b20a6
1345063cab41460
141b3569297cd1c
15bc3e9d8a594c
hex5cf7f41b30fe

102220022100222 has 48 divisors (see below), whose sum is σ = 244959692621280. Its totient is φ = 30602251935936.

The previous prime is 102220022100197. The next prime is 102220022100227. The reversal of 102220022100222 is 222001220022201.

102220022100222 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 0 + 221 + 0 + 0 + 222 = 666.

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 = 102220022100195 and 102220022100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220022100227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5903203522 + ... + 5903220837.

It is an arithmetic number, because the mean of its divisors is an integer number (5103326929610).

Almost surely, 2102220022100222 is an apocalyptic number.

102220022100222 is an abundant number, since it is smaller than the sum of its proper divisors (142739670521058).

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

102220022100222 is a wasteful number, since it uses less digits than its factorization.

102220022100222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11806424417 (or 11806424414 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102220022100222 its reverse (222001220022201), we get a palindrome (324221242122423).

The spelling of 102220022100222 in words is "one hundred two trillion, two hundred twenty billion, twenty-two million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 8658 11806424359 23612848718 35419273077 70838546154 106257819231 153483516667 212515638462 306967033334 436837701283 460450550001 873675402566 920901100002 1310513103849 1381351650003 2621026207698 2762703300006 3931539311547 5678890116679 7863078623094 11357780233358 17036670350037 34073340700074 51110011050111 102220022100222