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220022220102102 = 232113730033063077
BaseRepresentation
bin110010000001101111101010…
…010001011001100111010110
31001212000220210211010201000200
4302001233222101121213112
5212314321001321231402
62055540451301321330
764226036503155255
oct6201575221314726
91055026724121020
10220022220102102
1164118999309a30
1220815944406246
1395a0010b99912
143c491bcd5879c
151a68439a2e21c
hexc81bea4599d6

220022220102102 has 48 divisors (see below), whose sum is σ = 534107993779152. Its totient is φ = 64871416244160.

The previous prime is 220022220102071. The next prime is 220022220102119. The reversal of 220022220102102 is 201201022220022.

220022220102102 is a `hidden beast` number, since 2 + 200 + 22 + 220 + 10 + 210 + 2 = 666.

220022220102102 is digitally balanced in base 2, 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15016524213 + ... + 15016538864.

It is an arithmetic number, because the mean of its divisors is an integer number (11127249870399).

Almost surely, 2220022220102102 is an apocalyptic number.

220022220102102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220022220102102 is an abundant number, since it is smaller than the sum of its proper divisors (314085773677050).

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

220022220102102 is a wasteful number, since it uses less digits than its factorization.

220022220102102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30033063133 (or 30033063130 counting only the distinct ones).

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

Adding to 220022220102102 its reverse (201201022220022), we get a palindrome (421223242322124).

The spelling of 220022220102102 in words is "two hundred twenty trillion, twenty-two billion, two hundred twenty million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 30033063077 60066126154 90099189231 180198378462 270297567693 330363693847 540595135386 660727387694 991091081541 1111223333849 1982182163082 2222446667698 2973273244623 3333670001547 5946546489246 6667340003094 10001010004641 12223456672339 20002020009282 24446913344678 36670370017017 73340740034034 110011110051051 220022220102102