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12422995101 = 3211259239809
BaseRepresentation
bin10111001000111011…
…11101110010011101
31012001210001112112200
423210131331302131
5200420241320401
65412415522113
7616565500416
oct134435756235
935053045480
1012422995101
1152a5503100
1224a8529339
13122c99789a
1485bc8a80d
154ca977686
hex2e477dc9d

12422995101 has 72 divisors (see below), whose sum is σ = 20167056000. Its totient is φ = 7361397120.

The previous prime is 12422995097. The next prime is 12422995111. The reversal of 12422995101 is 10159922421.

12422995101 is a `hidden beast` number, since 12 + 42 + 2 + 99 + 510 + 1 = 666.

It is not a de Polignac number, because 12422995101 - 22 = 12422995097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422995111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15355585 + ... + 15356393.

It is an arithmetic number, because the mean of its divisors is an integer number (280098000).

Almost surely, 212422995101 is an apocalyptic number.

12422995101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12422995101 is a deficient number, since it is larger than the sum of its proper divisors (7744060899).

12422995101 is a wasteful number, since it uses less digits than its factorization.

12422995101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 12422995101 in words is "twelve billion, four hundred twenty-two million, nine hundred ninety-five thousand, one hundred one".

Divisors: 1 3 9 11 33 59 99 121 177 239 363 531 649 717 809 1089 1947 2151 2427 2629 5841 7139 7281 7887 8899 14101 21417 23661 26697 28919 42303 47731 64251 80091 86757 97889 126909 143193 155111 193351 260271 293667 429579 465333 525041 580053 881001 1395999 1575123 1706221 1740159 2126861 4725369 5118663 5775451 6380583 11407709 15355989 17326353 19141749 23395471 34223127 51979059 70186413 102669381 125484799 210559239 376454397 1129363191 1380332789 4140998367 12422995101