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23322120132213 = 3376166110632879
BaseRepresentation
bin1010100110110000110101…
…01011111001011001110101
310001120120110122120221202000
411103120122223321121311
511024102200223212323
6121334011210005513
74624652610151620
oct523303253713165
9101516418527660
1023322120132213
117481945898811
122747b96a16899
131002360636666
145a8b21d88db7
152a69ddbe6e43
hex15361aaf9675

23322120132213 has 128 divisors (see below), whose sum is σ = 40247024025600. Its totient is φ = 13071765484800.

The previous prime is 23322120132209. The next prime is 23322120132263. The reversal of 23322120132213 is 31223102122332.

23322120132213 is a `hidden beast` number, since 2 + 3 + 322 + 1 + 2 + 0 + 1 + 322 + 13 = 666.

It is not a de Polignac number, because 23322120132213 - 22 = 23322120132209 is a prime.

It is a super-2 number, since 2×233221201322132 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23322120132203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8100769708 + ... + 8100772586.

It is an arithmetic number, because the mean of its divisors is an integer number (314429875200).

Almost surely, 223322120132213 is an apocalyptic number.

It is an amenable number.

23322120132213 is a deficient number, since it is larger than the sum of its proper divisors (16924903893387).

23322120132213 is a wasteful number, since it uses less digits than its factorization.

23322120132213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23322120132213 its reverse (31223102122332), we get a palindrome (54545222254545).

The spelling of 23322120132213 in words is "twenty-three trillion, three hundred twenty-two billion, one hundred twenty million, one hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 61 63 183 189 427 549 661 1063 1281 1647 1983 2879 3189 3843 4627 5949 7441 8637 9567 11529 13881 17847 20153 22323 25911 28701 40321 41643 60459 64843 66969 77733 120963 124929 175619 181377 194529 200907 282247 362889 453901 526857 544131 583587 702643 846741 1088667 1229333 1361703 1580571 1750761 1903019 2107929 2540223 3060377 3687999 4085109 4741713 4918501 5709057 6323787 7620669 9181131 11063997 12255327 13321133 14755503 17127171 18971361 21422639 27543393 33191991 39963399 42861223 44266509 51381513 64267917 82630179 116084159 119890197 128583669 132799527 186682997 192803751 300028561 348252477 359670591 385751007 560048991 578411253 812589113 900085683 1044757431 1157253021 1306780979 1680146973 2022909197 2437767339 2700257049 3134272293 3920342937 5040440919 6068727591 7313302017 8100771147 11761028811 14160364379 18206182773 21939906051 35283086433 42481093137 54618548319 123397461017 127443279411 370192383051 382329838233 863782227119 1110577149153 2591346681357 3331731447459 7774040044071 23322120132213