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22133332113310 = 2511319609114369
BaseRepresentation
bin1010000100001010100010…
…11001011111011110011110
32220100220222222012111101201
411002011101121133132132
510400113031010111220
6115023525025030114
74443036413546245
oct502052131373636
986326888174351
1022133332113310
117063769a66000
12259570818533a
13c47219b66ac2
1456738a95195c
15285b134bed0a
hex14215165f79e

22133332113310 has 128 divisors (see below), whose sum is σ = 46138156761600. Its totient is φ = 7623097574400.

The previous prime is 22133332113289. The next prime is 22133332113419. The reversal of 22133332113310 is 1331123333122.

It is a happy number.

It is a super-2 number, since 2×221333321133102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1540345806 + ... + 1540360174.

It is an arithmetic number, because the mean of its divisors is an integer number (360454349700).

Almost surely, 222133332113310 is an apocalyptic number.

22133332113310 is an abundant number, since it is smaller than the sum of its proper divisors (24004824648290).

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

22133332113310 is a wasteful number, since it uses less digits than its factorization.

22133332113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20519 (or 20497 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 22133332113310 its reverse (1331123333122), we get a palindrome (23464455446432).

The spelling of 22133332113310 in words is "twenty-two trillion, one hundred thirty-three billion, three hundred thirty-two million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 121 190 209 242 418 605 1045 1210 1331 2090 2299 2662 4598 6091 6655 11495 12182 13310 14369 22990 25289 28738 30455 50578 60910 67001 71845 115729 126445 134002 143690 158059 231458 252890 273011 316118 335005 546022 578645 670010 737011 790295 1157290 1273019 1365055 1474022 1580590 1738649 2546038 2730110 3003121 3477298 3685055 6006242 6365095 7370110 8107121 8693245 12730190 14003209 15015605 16214242 17386490 19125139 28006418 30031210 33034331 38250278 40535605 66068662 70016045 81071210 87521579 95625695 140032090 154035299 165171655 175043158 191251390 308070598 330343310 363377641 437607895 726755282 770176495 875215790 962737369 1540352990 1662910001 1816888205 1925474738 3325820002 3633776410 4813686845 8314550005 9627373690 10590111059 16629100010 18292010011 21180222118 36584020022 52950555295 91460050055 105901110590 116491221649 182920100110 201212110121 232982443298 402424220242 582456108245 1006060550605 1164912216490 2012121101210 2213333211331 4426666422662 11066666056655 22133332113310