Search a number
-
+
20101010112222 = 23132711971417279
BaseRepresentation
bin1001001001000001000011…
…00100010011111011011110
32122011122012221210212101020
410210200201210103323132
510113313332042042342
6110430135423225010
74143151524555654
oct444404144237336
978148187725336
1020101010112222
11644a8771a3426
122307863748166
13b2a695161300
144d6c734dcdd4
1524cd17aed0ec
hex124821913ede

20101010112222 has 96 divisors (see below), whose sum is σ = 44369617121280. Its totient is φ = 6066856897920.

The previous prime is 20101010112187. The next prime is 20101010112263. The reversal of 20101010112222 is 22221101010102.

It is a super-2 number, since 2×201010101122222 (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 47 ways as a sum of consecutive naturals, for example, 13474179 + ... + 14891457.

It is an arithmetic number, because the mean of its divisors is an integer number (462183511680).

Almost surely, 220101010112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101010112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22184808560640).

20101010112222 is an abundant number, since it is smaller than the sum of its proper divisors (24268607009058).

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

20101010112222 is a wasteful number, since it uses less digits than its factorization.

20101010112222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417578 (or 1417565 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20101010112222 its reverse (22221101010102), we get a palindrome (42322111122324).

The spelling of 20101010112222 in words is "twenty trillion, one hundred one billion, ten million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 71 78 142 169 197 213 338 394 426 507 591 923 1014 1182 1846 2561 2769 5122 5538 7683 11999 13987 15366 23998 27974 33293 35997 41961 66586 71994 83922 99879 181831 199758 363662 545493 1090986 1417279 2363803 2834558 4251837 4727606 7091409 8503674 14182818 18424627 36849254 55273881 100626809 110547762 201253618 239520151 279203963 301880427 479040302 558407926 603760854 718560453 837611889 1308148517 1437120906 1675223778 2616297034 3629651519 3924445551 7259303038 7848891102 10888954557 17005930721 19823481373 21777909114 34011861442 39646962746 47185469747 51017792163 59470444119 94370939494 102035584326 118940888238 141556409241 257705257849 283112818482 515410515698 773115773547 1546231547094 3350168352037 6700336704074 10050505056111 20101010112222