Search a number
-
+
12311003123310 = 2353189977152239
BaseRepresentation
bin1011001100100110000011…
…1101111100111001101110
31121120220211222022201011010
42303021200331330321232
53103200413244421220
642103332522210050
72410304063646513
oct263114075747156
947526758281133
1012311003123310
113a17081352541
121469b56053926
136b3bcbc9a638
14307bda1a530a
151653865891e0
hexb3260f7ce6e

12311003123310 has 128 divisors (see below), whose sum is σ = 30873979699200. Its totient is φ = 3138100162560.

The previous prime is 12311003123261. The next prime is 12311003123317. The reversal of 12311003123310 is 1332130011321.

It is a happy number.

It is a super-2 number, since 2×123110031233102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311003123317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80790171 + ... + 80942409.

It is an arithmetic number, because the mean of its divisors is an integer number (241202966400).

Almost surely, 212311003123310 is an apocalyptic number.

12311003123310 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 12311003123310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436989849600).

12311003123310 is an abundant number, since it is smaller than the sum of its proper divisors (18562976575890).

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

12311003123310 is a wasteful number, since it uses less digits than its factorization.

12311003123310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153346.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12311003123310 its reverse (1332130011321), we get a palindrome (13643133134631).

The spelling of 12311003123310 in words is "twelve trillion, three hundred eleven billion, three million, one hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 89 93 155 178 186 267 310 445 465 534 890 930 977 1335 1954 2670 2759 2931 4885 5518 5862 8277 9770 13795 14655 16554 27590 29310 30287 41385 60574 82770 86953 90861 151435 152239 173906 181722 260859 302870 304478 434765 454305 456717 521718 761195 869530 908610 913434 1304295 1522390 2283585 2608590 2695543 4567170 4719409 5391086 8086629 9438818 13477715 13549271 14158227 16173258 23597045 26955430 27098542 28316454 40433145 40647813 47194090 67746355 70791135 80866290 81295626 135492710 141582270 148737503 203239065 297475006 406478130 420027401 446212509 743687515 840054802 892425018 1260082203 1487375030 2100137005 2231062545 2520164406 4200274010 4462125090 4610862593 6300411015 9221725186 12600822030 13237637767 13832587779 23054312965 26475275534 27665175558 39712913301 46108625930 66188188835 69162938895 79425826602 132376377670 138325877790 198564566505 397129133010 410366770777 820733541554 1231100312331 2051833853885 2462200624662 4103667707770 6155501561655 12311003123310