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2202122112102 = 239115085427
BaseRepresentation
bin100000000010111000101…
…101001100110001100110
321210112001200021000000000
4200002320231030301212
5242034421230041402
64403350235202130
7315045432052563
oct40027055146146
97715050230000
102202122112102
11779a07583240
122b69522a6346
1312c875413c83
147882473586a
153c4378d5c1c
hex200b8b4cc66

2202122112102 has 80 divisors (see below), whose sum is σ = 5405118345792. Its totient is φ = 667309599720.

The previous prime is 2202122112083. The next prime is 2202122112121. The reversal of 2202122112102 is 2012112212022.

It is a happy number.

2202122112102 is a `hidden beast` number, since 220 + 21 + 2 + 211 + 210 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2202122112083) and next prime (2202122112121).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2109688 + ... + 2975739.

Almost surely, 22202122112102 is an apocalyptic number.

2202122112102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2202122112102 is an abundant number, since it is smaller than the sum of its proper divisors (3202996233690).

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

2202122112102 is an frugal number, since it uses more digits than its factorization.

2202122112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085467 (or 5085443 counting only the distinct ones).

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

Adding to 2202122112102 its reverse (2012112212022), we get a palindrome (4214234324124).

The spelling of 2202122112102 in words is "two trillion, two hundred two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2187 2673 4374 5346 6561 8019 13122 16038 19683 24057 39366 48114 72171 144342 216513 433026 5085427 10170854 15256281 30512562 45768843 55939697 91537686 111879394 137306529 167819091 274613058 335638182 411919587 503457273 823839174 1006914546 1235758761 1510371819 2471517522 3020743638 3707276283 4531115457 7414552566 9062230914 11121828849 13593346371 22243657698 27186692742 33365486547 40780039113 66730973094 81560078226 100096459641 122340117339 200192919282 244680234678 367020352017 734040704034 1101061056051 2202122112102