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23342013644100 = 22352195969408307
BaseRepresentation
bin1010100111010101111000…
…11011100111110101000100
310001122110211001202001202120
411103222330123213311010
511024413420443102400
6121351101213005540
74626255600211554
oct523527433476504
9101573731661676
1023342013644100
11748a3241a4728
12274ba091838b0
1310041b0c38578
145a9a8c071164
152a72a542aca0
hex153abc6e7d44

23342013644100 has 144 divisors (see below), whose sum is σ = 72295693612800. Its totient is φ = 5796981717120.

The previous prime is 23342013644093. The next prime is 23342013644123. The reversal of 23342013644100 is 144631024332.

It is a super-2 number, since 2×233420136441002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34367854 + ... + 35040453.

Almost surely, 223342013644100 is an apocalyptic number.

23342013644100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23342013644100 is an abundant number, since it is smaller than the sum of its proper divisors (48953679968700).

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

23342013644100 is a wasteful number, since it uses less digits than its factorization.

23342013644100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69408402 (or 69408395 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 23342013644100 its reverse (144631024332), we get a palindrome (23486644668432).

The spelling of 23342013644100 in words is "twenty-three trillion, three hundred forty-two billion, thirteen million, six hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 59 60 75 76 95 100 114 118 150 177 190 228 236 285 295 300 354 380 475 570 590 708 885 950 1121 1140 1180 1425 1475 1770 1900 2242 2850 2950 3363 3540 4425 4484 5605 5700 5900 6726 8850 11210 13452 16815 17700 22420 28025 33630 56050 67260 84075 112100 168150 336300 69408307 138816614 208224921 277633228 347041535 416449842 694083070 832899684 1041124605 1318757833 1388166140 1735207675 2082249210 2637515666 3470415350 3956273499 4095090113 4164498420 5205623025 5275031332 6593789165 6940830700 7912546998 8190180226 10411246050 12285270339 13187578330 15825093996 16380360452 19781367495 20475450565 20822492100 24570540678 26375156660 32968945825 39562734990 40950901130 49141081356 61426351695 65937891650 77806712147 79125469980 81901802260 98906837475 102377252825 122852703390 131875783300 155613424294 197813674950 204754505650 233420136441 245705406780 307131758475 311226848588 389033560735 395627349900 409509011300 466840272882 614263516950 778067121470 933680545764 1167100682205 1228527033900 1556134242940 1945167803675 2334201364410 3890335607350 4668402728820 5835503411025 7780671214700 11671006822050 23342013644100