Search a number
-
+
12110322223110 = 23537611311365311
BaseRepresentation
bin1011000000111010011101…
…1101000100100000000110
31120212201212011210201011210
42300032213131010200012
53041403414442114420
641431223310112250
72356641034310646
oct260164735044006
946781764721153
1012110322223110
113949a601a7a01
12143708a4ab686
1369acc9898847
142dc1dd8bc526
1516003d4669e0
hexb03a7744806

12110322223110 has 128 divisors (see below), whose sum is σ = 30571279884288. Its totient is φ = 3067032384000.

The previous prime is 12110322223099. The next prime is 12110322223141. The reversal of 12110322223110 is 1132222301121.

It is a congruent number.

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, 8187355 + ... + 9552665.

It is an arithmetic number, because the mean of its divisors is an integer number (238838124096).

Almost surely, 212110322223110 is an apocalyptic number.

12110322223110 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 12110322223110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15285639942144).

12110322223110 is an abundant number, since it is smaller than the sum of its proper divisors (18460957661178).

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

12110322223110 is a wasteful number, since it uses less digits than its factorization.

12110322223110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365550.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12110322223110 its reverse (1132222301121), we get a palindrome (13242544524231).

The spelling of 12110322223110 in words is "twelve trillion, one hundred ten billion, three hundred twenty-two million, two hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 61 74 111 122 131 183 185 222 262 305 366 370 393 555 610 655 786 915 1110 1310 1830 1965 2257 3930 4514 4847 6771 7991 9694 11285 13542 14541 15982 22570 23973 24235 29082 33855 39955 47946 48470 67710 72705 79910 119865 145410 239730 295667 591334 887001 1365311 1478335 1774002 2730622 2956670 4095933 4435005 6826555 8191866 8870010 13653110 20479665 40959330 50516507 83283971 101033014 151549521 166567942 178855741 249851913 252582535 303099042 357711482 416419855 499703826 505165070 536567223 757747605 832839710 894278705 1073134446 1249259565 1515495210 1788557410 2498519130 2682836115 3081506927 5365672230 6163013854 6617662417 9244520781 10910200201 13235324834 15407534635 18489041562 19852987251 21820400402 30815069270 32730600603 33088312085 39705974502 46222603905 54551001005 65461201206 66176624170 92445207810 99264936255 109102002010 163653003015 198529872510 327306006030 403677407437 807354814874 1211032222311 2018387037185 2422064444622 4036774074370 6055161111555 12110322223110