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114130242333210 = 235231543316933827
BaseRepresentation
bin11001111100110100000100…
…100011010110101000011010
3112222002202002211011112100010
4121330310010203112220122
5104424402214014130320
61042422413131022350
733016431541221105
oct3174640443265032
9488082084145303
10114130242333210
1133402400478474
121097325729a9b6
134b8b58822b53c
142027d0c9cb73c
15d2dbc994dae0
hex67cd048d6a1a

114130242333210 has 128 divisors (see below), whose sum is σ = 286105771192320. Its totient is φ = 29082575149056.

The previous prime is 114130242333209. The next prime is 114130242333241. The reversal of 114130242333210 is 12333242031411.

114130242333210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3373922317 + ... + 3373956143.

It is an arithmetic number, because the mean of its divisors is an integer number (2235201337440).

Almost surely, 2114130242333210 is an apocalyptic number.

114130242333210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114130242333210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143052885596160).

114130242333210 is an abundant number, since it is smaller than the sum of its proper divisors (171975528859110).

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

114130242333210 is a wasteful number, since it uses less digits than its factorization.

114130242333210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38572.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 114130242333210 its reverse (12333242031411), we get a palindrome (126463484364621).

The spelling of 114130242333210 in words is "one hundred fourteen trillion, one hundred thirty billion, two hundred forty-two million, three hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1543 3086 3169 4629 6338 7715 9258 9507 15430 15845 19014 23145 31690 33827 35489 46290 47535 67654 70978 72887 95070 101481 106467 145774 169135 177445 202962 212934 218661 338270 354890 364435 437322 507405 532335 728870 778021 1014810 1064670 1093305 1556042 2186610 2334063 3890105 4668126 4889767 7780210 9779534 11670315 14669301 23340630 24448835 29338602 48897670 52195061 73346505 104390122 107197763 112464641 146693010 156585183 214395526 224929282 260975305 313170366 321593289 337393923 521950610 535988815 562323205 643186578 674787846 782925915 1071977630 1124646410 1200486403 1565851830 1607966445 1686969615 2400972806 2465548549 3215932890 3373939230 3601459209 4931097098 6002432015 7202918418 7396645647 12004864030 12327742745 14793291294 18007296045 24655485490 36014592090 36983228235 73966456470 165406148309 330812296618 496218444927 827030741545 992436889854 1654061483090 2481092224635 3804341411107 4962184449270 7608682822214 11413024233321 19021707055535 22826048466642 38043414111070 57065121166605 114130242333210