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23332331133020 = 22571331674047983
BaseRepresentation
bin1010100111000011110110…
…10011110001100001011100
310001121112211021101112120002
411103201323103301201130
511024234103232224040
6121342420331113432
74625463626216360
oct523417323614134
9101545737345502
1023332331133020
117486205719858
122749b665a2878
1310032c9c60380
145a94101552a0
152a6dda383a15
hex15387b4f185c

23332331133020 has 96 divisors (see below), whose sum is σ = 60324158619648. Its totient is φ = 7381964742912.

The previous prime is 23332331132977. The next prime is 23332331133043. The reversal of 23332331133020 is 2033113323332.

It is a super-2 number, since 2×233323311330202 (a number of 28 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 31 ways as a sum of consecutive naturals, for example, 3739949 + ... + 7787931.

It is an arithmetic number, because the mean of its divisors is an integer number (628376652288).

Almost surely, 223332331133020 is an apocalyptic number.

23332331133020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23332331133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30162079309824).

23332331133020 is an abundant number, since it is smaller than the sum of its proper divisors (36991827486628).

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

23332331133020 is a wasteful number, since it uses less digits than its factorization.

23332331133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051179 (or 4051177 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 23332331133020 its reverse (2033113323332), we get a palindrome (25365444456352).

The spelling of 23332331133020 in words is "twenty-three trillion, three hundred thirty-two billion, three hundred thirty-one million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 3167 6334 12668 15835 22169 31670 41171 44338 63340 82342 88676 110845 164684 205855 221690 288197 411710 443380 576394 823420 1152788 1440985 2881970 4047983 5763940 8095966 16191932 20239915 28335881 40479830 52623779 56671762 80959660 105247558 113343524 141679405 210495116 263118895 283358810 368366453 526237790 566717620 736732906 1052475580 1473465812 1841832265 3683664530 7367329060 12819962161 25639924322 51279848644 64099810805 89739735127 128199621610 166659508093 179479470254 256399243220 333319016186 358958940508 448698675635 666638032372 833297540465 897397351270 1166616556651 1666595080930 1794794702540 2333233113302 3333190161860 4666466226604 5833082783255 11666165566510 23332331133020