Search a number
-
+
12210002101110 = 23511236724010387
BaseRepresentation
bin1011000110101101110011…
…0101101000001101110110
31121020021011001002011121010
42301223130311220031312
53100022041014213420
641545110355533050
72400100143302112
oct261533465501566
947207131064533
1012210002101110
113988261965670
121452468bba186
136a7523c83688
14302d7820c742
1516292451a4e0
hexb1adcd68376

12210002101110 has 128 divisors (see below), whose sum is σ = 33855799578624. Its totient is φ = 2789046437760.

The previous prime is 12210002101093. The next prime is 12210002101159. The reversal of 12210002101110 is 1110120001221.

It is a super-2 number, since 2×122100021011102 (a number of 27 digits) contains 22 as substring.

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, 11496664 + ... + 12513723.

It is an arithmetic number, because the mean of its divisors is an integer number (264498434208).

Almost surely, 212210002101110 is an apocalyptic number.

12210002101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12210002101110 is an abundant number, since it is smaller than the sum of its proper divisors (21645797477514).

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

12210002101110 is a wasteful number, since it uses less digits than its factorization.

12210002101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24010498.

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

Adding to 12210002101110 its reverse (1110120001221), we get a palindrome (13320122102331).

The spelling of 12210002101110 in words is "twelve trillion, two hundred ten billion, two million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 67 69 110 115 134 138 165 201 230 253 330 335 345 402 506 670 690 737 759 1005 1265 1474 1518 1541 2010 2211 2530 3082 3685 3795 4422 4623 7370 7590 7705 9246 11055 15410 16951 22110 23115 33902 46230 50853 84755 101706 169510 254265 508530 24010387 48020774 72031161 120051935 144062322 240103870 264114257 360155805 528228514 552238901 720311610 792342771 1104477802 1320571285 1584685542 1608695929 1656716703 2641142570 2761194505 3217391858 3313433406 3961713855 4826087787 5522389010 6074627911 7923427710 8043479645 8283583515 9652175574 12149255822 16086959290 16567167030 17695655219 18223883733 24130438935 30373139555 35391310438 36447767466 37000006367 48260877870 53086965657 60746279110 74000012734 88478276095 91119418665 106173931314 111000019101 176956552190 182238837330 185000031835 222000038202 265434828285 370000063670 407000070037 530869656570 555000095505 814000140074 1110000191010 1221000210111 2035000350185 2442000420222 4070000700370 6105001050555 12210002101110