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2311211231320 = 2352323961916981
BaseRepresentation
bin100001101000011110111…
…011001010100001011000
322011221122021200102211211
4201220132323022201120
5300331330033400240
64525431125432504
7325656653216125
oct41503673124130
98157567612754
102311211231320
118111a753a112
12313b17b6b734
13139c3bca7a64
147dc1296974c
15401bea52bea
hex21a1eeca858

2311211231320 has 128 divisors (see below), whose sum is σ = 5458150656000. Its totient is φ = 879115184640.

The previous prime is 2311211231317. The next prime is 2311211231387. The reversal of 2311211231320 is 231321121132.

It is a junction number, because it is equal to n+sod(n) for n = 2311211231291 and 2311211231300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136097230 + ... + 136114210.

It is an arithmetic number, because the mean of its divisors is an integer number (42641802000).

Almost surely, 22311211231320 is an apocalyptic number.

2311211231320 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 2311211231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729075328000).

2311211231320 is an abundant number, since it is smaller than the sum of its proper divisors (3146939424680).

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

2311211231320 is a wasteful number, since it uses less digits than its factorization.

2311211231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17873 (or 17869 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2311211231320 its reverse (231321121132), we get a palindrome (2542532352452).

The spelling of 2311211231320 in words is "two trillion, three hundred eleven billion, two hundred eleven million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 239 460 478 619 920 956 1195 1238 1912 2390 2476 3095 4780 4952 5497 6190 9560 10994 12380 14237 16981 21988 24760 27485 28474 33962 43976 54970 56948 67924 71185 84905 109940 113896 135848 142370 147941 169810 219880 284740 295882 339620 390563 569480 591764 679240 739705 781126 1183528 1479410 1562252 1952815 2958820 3124504 3402643 3905630 4058459 5917640 6805286 7811260 8116918 10511239 13610572 15622520 16233836 17013215 20292295 21022478 27221144 32467672 34026430 40584590 42044956 52556195 68052860 81169180 84089912 93344557 105112390 136105720 162338360 186689114 210224780 241758497 373378228 420449560 466722785 483516994 746756456 933445570 967033988 1208792485 1866891140 1934067976 2417584970 2512186121 3733782280 4835169940 5024372242 9670339880 10048744484 12560930605 20097488968 25121861210 50243722420 57780280783 100487444840 115560561566 231121123132 288901403915 462242246264 577802807830 1155605615660 2311211231320