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23120120331040 = 25510310211137393
BaseRepresentation
bin1010100000111000100101…
…00011110011101100100000
310000212021001221022211202111
411100130102203303230200
511012300001301043130
6121101123041125104
74604242064161525
oct520342243635440
9100767057284674
1023120120331040
117404208206377
122714a01629794
13cb92aac0c7a5
1459d03c46114c
152a1619dee02a
hex1507128f3b20

23120120331040 has 96 divisors (see below), whose sum is σ = 55157390660736. Its totient is φ = 9157297704960.

The previous prime is 23120120331019. The next prime is 23120120331079. The reversal of 23120120331040 is 4013302102132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168208584 + ... + 168345976.

It is an arithmetic number, because the mean of its divisors is an integer number (574556152716).

Almost surely, 223120120331040 is an apocalyptic number.

23120120331040 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 23120120331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578695330368).

23120120331040 is an abundant number, since it is smaller than the sum of its proper divisors (32037270329696).

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

23120120331040 is a wasteful number, since it uses less digits than its factorization.

23120120331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147722 (or 147714 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 23120120331040 its reverse (4013302102132), we get a palindrome (27133422433172).

The spelling of 23120120331040 in words is "twenty-three trillion, one hundred twenty billion, one hundred twenty million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 3296 4120 8240 10211 16480 20422 40844 51055 81688 102110 137393 163376 204220 274786 326752 408440 549572 686965 816880 1051733 1099144 1373930 1633760 2103466 2198288 2747860 4206932 4396576 5258665 5495720 8413864 10517330 10991440 14151479 16827728 21034660 21982880 28302958 33655456 42069320 56605916 70757395 84138640 113211832 141514790 168277280 226423664 283029580 452847328 566059160 1132118320 1402919923 2264236640 2805839846 5611679692 7014599615 11223359384 14029199230 22446718768 28058398460 44893437536 56116796920 112233593840 144500752069 224467187680 289001504138 578003008276 722503760345 1156006016552 1445007520690 2312012033104 2890015041380 4624024066208 5780030082760 11560060165520 23120120331040