Search a number
-
+
12210120103110 = 23537103221348259
BaseRepresentation
bin1011000110101110001111…
…0111110001010011000110
31121020021110021010021220120
42301223203313301103012
53100022311221244420
641545130213042410
72400103105302216
oct261534367612306
947207407107816
1012210120103110
113988312532286
1214524a0626406
136a754255b047
14302d89b68246
1516292ea78d40
hexb1ae3df14c6

12210120103110 has 128 divisors (see below), whose sum is σ = 30402854876160. Its totient is φ = 3135790941696.

The previous prime is 12210120103099. The next prime is 12210120103117. The reversal of 12210120103110 is 1130102101221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12210120103110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210120103117) 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, 252988161 + ... + 253036419.

It is an arithmetic number, because the mean of its divisors is an integer number (237522303720).

Almost surely, 212210120103110 is an apocalyptic number.

12210120103110 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 12210120103110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201427438080).

12210120103110 is an abundant number, since it is smaller than the sum of its proper divisors (18192734773050).

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

12210120103110 is a wasteful number, since it uses less digits than its factorization.

12210120103110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50622.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12210120103110 its reverse (1130102101221), we get a palindrome (13340222204331).

The spelling of 12210120103110 in words is "twelve trillion, two hundred ten billion, one hundred twenty million, one hundred three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 103 111 185 206 222 309 370 515 555 618 1030 1110 1545 2213 3090 3811 4426 6639 7622 11065 11433 13278 19055 22130 22866 33195 38110 48259 57165 66390 81881 96518 114330 144777 163762 227939 241295 245643 289554 409405 455878 482590 491286 683817 723885 818810 1139695 1228215 1367634 1447770 1785583 2279390 2456430 3419085 3571166 4970677 5356749 6838170 8433743 8927915 9941354 10713498 14912031 16867486 17855830 24853385 25301229 26783745 29824062 42168715 49706770 50602458 53567490 74560155 84337430 106797167 126506145 149120310 183915049 213594334 253012290 320391501 367830098 533985835 551745147 640783002 919575245 1067971670 1103490294 1601957505 1839150490 2758725735 3203915010 3951495179 5517451470 7902990358 11000108201 11854485537 19757475895 22000216402 23708971074 33000324603 39514951790 55000541005 59272427685 66000649206 110001082010 118544855370 165001623015 330003246030 407004003437 814008006874 1221012010311 2035020017185 2442024020622 4070040034370 6105060051555 12210120103110