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102022020220122 = 23317111135098279
BaseRepresentation
bin10111001100100111011010…
…010001100100010011011010
3111101020012200000002110112000
4113030213122101210103122
5101333012044134020442
61000552134041301430
730326563524342642
oct2714473221442332
9441205600073460
10102022020220122
112a564328784292
12b538674194876
1344c083478b962
141b29c6bdc7522
15bbdc60a71d4c
hex5cc9da4644da

102022020220122 has 32 divisors (see below), whose sum is σ = 240051812284800. Its totient is φ = 32006908304064.

The previous prime is 102022020220027. The next prime is 102022020220129. The reversal of 102022020220122 is 221022020220201.

102022020220122 is a `hidden beast` number, since 1 + 0 + 20 + 220 + 202 + 201 + 22 = 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 = 102022020220095 and 102022020220104.

It is not an unprimeable number, because it can be changed into a prime (102022020220129) 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 15 ways as a sum of consecutive naturals, for example, 55567548222 + ... + 55567550057.

It is an arithmetic number, because the mean of its divisors is an integer number (7501619133900).

Almost surely, 2102022020220122 is an apocalyptic number.

102022020220122 is an abundant number, since it is smaller than the sum of its proper divisors (138029792064678).

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

102022020220122 is a wasteful number, since it uses less digits than its factorization.

102022020220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111135098307 (or 111135098301 counting only the distinct ones).

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

Adding to 102022020220122 its reverse (221022020220201), we get a palindrome (323044040440323).

The spelling of 102022020220122 in words is "one hundred two trillion, twenty-two billion, twenty million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 111135098279 222270196558 333405294837 666810589674 1000215884511 1889296670743 2000431769022 3000647653533 3778593341486 5667890012229 6001295307066 11335780024458 17003670036687 34007340073374 51011010110061 102022020220122