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121110002010 = 237517930937
BaseRepresentation
bin111000011001010110…
…1111111100101011010
3102120121100211120000000
41300302231333211122
53441013130031020
6131345343353430
711515135013604
oct1606255774532
9376540746000
10121110002010
11473a9491058
121b57b5b2876
13b56115a7aa
145c0c92a174
15323c665090
hex1c32b7f95a

121110002010 has 128 divisors (see below), whose sum is σ = 328784313600. Its totient is φ = 32114537856.

The previous prime is 121110001963. The next prime is 121110002017. The reversal of 121110002010 is 10200011121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121110001983 and 121110002001.

It is not an unprimeable number, because it can be changed into a prime (121110002017) 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, 3899262 + ... + 3930198.

It is an arithmetic number, because the mean of its divisors is an integer number (2568627450).

Almost surely, 2121110002010 is an apocalyptic number.

121110002010 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 121110002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164392156800).

121110002010 is an abundant number, since it is smaller than the sum of its proper divisors (207674311590).

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

121110002010 is an equidigital number, since it uses as much as digits as its factorization.

121110002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31144 (or 31126 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121110002010 its reverse (10200011121), we get a palindrome (131310013131).

The spelling of 121110002010 in words is "one hundred twenty-one billion, one hundred ten million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 179 243 270 358 405 486 537 729 810 895 1074 1215 1458 1611 1790 2187 2430 2685 3222 3645 4374 4833 5370 7290 8055 9666 10935 14499 16110 21870 24165 28998 30937 43497 48330 61874 72495 86994 92811 130491 144990 154685 185622 217485 260982 278433 309370 391473 434970 464055 556866 652455 782946 835299 928110 1304910 1392165 1670598 1957365 2505897 2784330 3914730 4176495 5011794 5537723 7517691 8352990 11075446 12529485 15035382 16613169 22553073 25058970 27688615 33226338 37588455 45106146 49839507 55377230 67659219 75176910 83065845 99679014 112765365 135318438 149518521 166131690 225530730 249197535 299037042 338296095 448555563 498395070 676592190 747592605 897111126 1345666689 1495185210 2242777815 2691333378 4037000067 4485555630 6728333445 8074000134 12111000201 13456666890 20185000335 24222000402 40370000670 60555001005 121110002010