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23231130142242 = 231119139167798071
BaseRepresentation
bin1010100100000111010110…
…10000101000011000100010
310001020212121101212112200110
411102003223100220120202
511021104323304022432
6121224122302432150
74615252030045131
oct522035320503042
9101225541775613
1023231130142242
1174472a33705a0
122732422592656
13cc68bc6a04c9
145a456d7c7918
152a44659b4dcc
hex1520eb428622

23231130142242 has 128 divisors (see below), whose sum is σ = 54059481907200. Its totient is φ = 6581587521600.

The previous prime is 23231130142229. The next prime is 23231130142273. The reversal of 23231130142242 is 24224103113232.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28710067 + ... + 29508137.

It is an arithmetic number, because the mean of its divisors is an integer number (422339702400).

Almost surely, 223231130142242 is an apocalyptic number.

23231130142242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23231130142242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27029740953600).

23231130142242 is an abundant number, since it is smaller than the sum of its proper divisors (30828351764958).

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

23231130142242 is a wasteful number, since it uses less digits than its factorization.

23231130142242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798412.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 23231130142242 its reverse (24224103113232), we get a palindrome (47455233255474).

The spelling of 23231130142242 in words is "twenty-three trillion, two hundred thirty-one billion, one hundred thirty million, one hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 139 167 209 278 334 417 418 501 627 834 1002 1254 1529 1837 2641 3058 3173 3674 4587 5282 5511 6346 7923 9174 9519 11022 15846 19038 23213 29051 34903 46426 58102 69639 69806 87153 104709 139278 174306 209418 255343 441047 510686 766029 798071 882094 1323141 1532058 1596142 2394213 2646282 4788426 4851517 8778781 9703034 14554551 15163349 17557562 26336343 29109102 30326698 45490047 52672686 90980094 110931869 133277857 166796839 221863738 266555714 332795607 333593678 399833571 500390517 665591214 799667142 1000781034 1220250559 1466056427 2107705511 2440501118 2532279283 2932112854 3660751677 4215411022 4398169281 5064558566 6323116533 7321503354 7596837849 8796338562 12646233066 15193675698 18525622123 23184760621 27855072113 37051244246 46369521242 55576866369 55710144226 69554281863 83565216339 111153732738 139108563726 167130432678 203781843353 351986820337 407563686706 611345530059 703973640674 1055960461011 1222691060118 2111920922022 3871855023707 7743710047414 11615565071121 23231130142242