Search a number
-
+
110002010211210 = 235134145715053447
BaseRepresentation
bin11001000000101111010110…
…101111100100001110001010
3112102111002102020010002111010
4121000233112233210032022
5103404233104103224320
61025542120441344350
732112245234160615
oct3100572657441612
9472432366102433
10110002010211210
1132060655021677
12104071627980b6
13494c1b68b2550
141d241a8cd717c
15cab610e40ae0
hex640bd6be438a

110002010211210 has 128 divisors (see below), whose sum is σ = 291884670733824. Its totient is φ = 26359186083840.

The previous prime is 110002010211161. The next prime is 110002010211229. The reversal of 110002010211210 is 12112010200011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219294 + ... + 14834153.

It is an arithmetic number, because the mean of its divisors is an integer number (2280348990108).

Almost surely, 2110002010211210 is an apocalyptic number.

110002010211210 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 110002010211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145942335366912).

110002010211210 is an abundant number, since it is smaller than the sum of its proper divisors (181882660522614).

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

110002010211210 is a wasteful number, since it uses less digits than its factorization.

110002010211210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15053968.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110002010211210 its reverse (12112010200011), we get a palindrome (122114020411221).

The spelling of 110002010211210 in words is "one hundred ten trillion, two billion, ten million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 390 410 457 533 615 914 1066 1230 1371 1599 2285 2665 2742 3198 4570 5330 5941 6855 7995 11882 13710 15990 17823 18737 29705 35646 37474 56211 59410 89115 93685 112422 178230 187370 243581 281055 487162 562110 730743 1217905 1461486 2435810 3653715 7307430 15053447 30106894 45160341 75267235 90320682 150534470 195694811 225801705 391389622 451603410 587084433 617191327 978474055 1174168866 1234382654 1851573981 1956948110 2935422165 3085956635 3703147962 5870844330 6171913270 6879425279 8023487251 9257869905 13758850558 16046974502 18515739810 20638275837 24070461753 34397126395 40117436255 41276551674 48140923506 68794252790 80234872510 89432528627 103191379185 120352308765 178865057254 206382758370 240704617530 268297585881 282056436439 447162643135 536595171762 564112872878 846169309317 894325286270 1341487929405 1410282182195 1692338618634 2682975858810 2820564364390 3666733673707 4230846546585 7333467347414 8461693093170 11000201021121 18333668368535 22000402042242 36667336737070 55001005105605 110002010211210