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22179746121 = 3131944367567
BaseRepresentation
bin10100101010000001…
…000001000101001001
32010020202002211210120
4110222001001011021
5330411003333441
614104512533453
71413430505601
oct245201010511
963222084716
1022179746121
1194519855a5
12436bb51289
132126167440
1411059adc01
1589c2d6966
hex52a041149

22179746121 has 32 divisors (see below), whose sum is σ = 33600215040. Its totient is φ = 12901322304.

The previous prime is 22179746119. The next prime is 22179746137. The reversal of 22179746121 is 12164797122.

It is not a de Polignac number, because 22179746121 - 21 = 22179746119 is a prime.

It is a super-3 number, since 3×221797461213 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22179746321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294480 + ... + 362046.

It is an arithmetic number, because the mean of its divisors is an integer number (1050006720).

Almost surely, 222179746121 is an apocalyptic number.

It is an amenable number.

22179746121 is a deficient number, since it is larger than the sum of its proper divisors (11420468919).

22179746121 is a wasteful number, since it uses less digits than its factorization.

22179746121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68045.

The product of its digits is 84672, while the sum is 42.

The spelling of 22179746121 in words is "twenty-two billion, one hundred seventy-nine million, seven hundred forty-six thousand, one hundred twenty-one".

Divisors: 1 3 13 19 39 57 247 443 741 1329 5759 8417 17277 25251 67567 109421 202701 328263 878371 1283773 2635113 3851319 16689049 29932181 50067147 89796543 389118353 568711439 1167355059 1706134317 7393248707 22179746121