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234314131020 = 223553312123609
BaseRepresentation
bin1101101000111000110…
…1011110011001001100
3211101210202101011001220
43122032031132121030
512314333404143040
6255350433003340
722633344152214
oct3321615363114
9741722334056
10234314131020
1190410244772
12394b33b3550
1319132410708
14b4ab491244
156165bc42d0
hex368e35e64c

234314131020 has 96 divisors (see below), whose sum is σ = 668700930240. Its totient is φ = 61282590720.

The previous prime is 234314131019. The next prime is 234314131027. The reversal of 234314131020 is 20131413432.

It is a happy number.

It is a super-2 number, since 2×2343141310202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234314131027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9912976 + ... + 9936584.

It is an arithmetic number, because the mean of its divisors is an integer number (6965634690).

Almost surely, 2234314131020 is an apocalyptic number.

234314131020 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 234314131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334350465120).

234314131020 is an abundant number, since it is smaller than the sum of its proper divisors (434386799220).

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

234314131020 is a wasteful number, since it uses less digits than its factorization.

234314131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26795 (or 26793 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 234314131020 its reverse (20131413432), we get a palindrome (254445544452).

The spelling of 234314131020 in words is "two hundred thirty-four billion, three hundred fourteen million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3121 3180 6242 9363 12484 15605 18726 23609 31210 37452 46815 47218 62420 70827 93630 94436 118045 141654 165413 187260 236090 283308 330826 354135 472180 496239 661652 708270 827065 992478 1251277 1416540 1654130 1984956 2481195 2502554 3308260 3753831 4962390 5005108 6256385 7507662 9924780 12512770 15015324 18769155 25025540 37538310 73683689 75076620 147367378 221051067 294734756 368418445 442102134 736836890 884204268 1105255335 1473673780 2210510670 3905235517 4421021340 7810471034 11715706551 15620942068 19526177585 23431413102 39052355170 46862826204 58578532755 78104710340 117157065510 234314131020