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1134143210310 = 2351146370110589
BaseRepresentation
bin10000100000010000001…
…101000000001101000110
311000102102101112120011120
4100200100031000031012
5122040211130212220
62225003533014410
7144640061140515
oct20402015001506
94012371476146
101134143210310
113a7a95303280
1216397a324406
1382c456543b6
143cc6dca467c
151e77d1dca40
hex10810340346

1134143210310 has 128 divisors (see below), whose sum is σ = 2980333025280. Its totient is φ = 273932736000.

The previous prime is 1134143210293. The next prime is 1134143210311. The reversal of 1134143210310 is 130123414311.

It is a happy number.

It is a super-2 number, since 2×11341432103102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134143210311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107100496 + ... + 107111084.

It is an arithmetic number, because the mean of its divisors is an integer number (23283851760).

Almost surely, 21134143210310 is an apocalyptic number.

1134143210310 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 1134143210310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490166512640).

1134143210310 is an abundant number, since it is smaller than the sum of its proper divisors (1846189814970).

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

1134143210310 is a wasteful number, since it uses less digits than its factorization.

1134143210310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11774.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1134143210310 its reverse (130123414311), we get a palindrome (1264266624621).

The spelling of 1134143210310 in words is "one trillion, one hundred thirty-four billion, one hundred forty-three million, two hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 463 701 926 1389 1402 2103 2315 2778 3505 4206 4630 5093 6945 7010 7711 10186 10515 10589 13890 15279 15422 21030 21178 23133 25465 30558 31767 38555 46266 50930 52945 63534 76395 77110 105890 115665 116479 152790 158835 231330 232958 317670 324563 349437 582395 649126 698874 973689 1164790 1622815 1747185 1947378 3245630 3494370 3570193 4868445 4902707 7140386 7422889 9736890 9805414 10710579 14708121 14845778 17850965 21421158 22268667 24513535 29416242 35701930 37114445 44537334 49027070 53552895 53929777 73540605 74228890 81651779 107105790 107859554 111343335 147081210 161789331 163303558 222686670 244955337 269648885 323578662 408258895 489910674 539297770 808946655 816517790 1224776685 1617893310 2449553370 3436797607 6873595214 10310392821 17183988035 20620785642 34367976070 37804773677 51551964105 75609547354 103103928210 113414321031 189023868385 226828642062 378047736770 567071605155 1134143210310