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109332022058424 = 23341150330493811
BaseRepresentation
bin11000110110111111011000…
…010101100101110110111000
3112100010001001121012111110000
4120312333120111211312320
5103312243440121332144
61024310234302153000
732012656266635124
oct3066773025456670
9470101047174400
10109332022058424
11319224a5198aa0
1210319340b82760
134900c720c7ca9
141cdd9ab842584
15c98e9ba52769
hex636fd8565db8

109332022058424 has 160 divisors (see below), whose sum is σ = 334734233581440. Its totient is φ = 33065048059200.

The previous prime is 109332022058423. The next prime is 109332022058491. The reversal of 109332022058424 is 424850220233901.

109332022058424 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 3 + 20 + 2 + 20 + 584 + 24 = 666.

It is a super-2 number, since 2×1093320220584242 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109332022058424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109332022058423) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11661522 + ... + 18832289.

It is an arithmetic number, because the mean of its divisors is an integer number (2092088959884).

Almost surely, 2109332022058424 is an apocalyptic number.

It is an amenable number.

109332022058424 is an abundant number, since it is smaller than the sum of its proper divisors (225402211523016).

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

109332022058424 is a wasteful number, since it uses less digits than its factorization.

109332022058424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30494343 (or 30494330 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 109332022058424 in words is "one hundred nine trillion, three hundred thirty-two billion, twenty-two million, fifty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 503 594 648 792 891 1006 1188 1509 1782 2012 2376 3018 3564 4024 4527 5533 6036 7128 9054 11066 12072 13581 16599 18108 22132 27162 33198 36216 40743 44264 49797 54324 66396 81486 99594 108648 132792 149391 162972 199188 298782 325944 398376 448173 597564 896346 1195128 1792692 3585384 30493811 60987622 91481433 121975244 182962866 243950488 274444299 335431921 365925732 548888598 670863842 731851464 823332897 1006295763 1097777196 1341727684 1646665794 2012591526 2195554392 2469998691 2683455368 3018887289 3293331588 4025183052 4939997382 6037774578 6586663176 8050366104 9056661867 9879994764 12075549156 15338386933 18113323734 19759989528 24151098312 27169985601 30676773866 36226647468 46015160799 54339971202 61353547732 72453294936 92030321598 108679942404 122707095464 138045482397 168722256263 184060643196 217359884808 276090964794 337444512526 368121286392 414136447191 506166768789 552181929588 674889025052 828272894382 1012333537578 1104363859176 1242409341573 1349778050104 1518500306367 1656545788764 2024667075156 2484818683146 3037000612734 3313091577528 4049334150312 4555500919101 4969637366292 6074001225468 9111001838202 9939274732584 12148002450936 13666502757303 18222003676404 27333005514606 36444007352808 54666011029212 109332022058424