Search a number
-
+
21121222002111 = 32711198831816651
BaseRepresentation
bin1001100110101101010101…
…11011110100010110111111
32202210011120021110200101200
410303112222323310112333
510232022230313031421
6112530542212510543
74306646366546460
oct463265273642677
982704507420350
1021121222002111
116803507211350
12245152661b453
13ba29519928ba
145303b6026d67
152696289d7726
hex1335aaef45bf

21121222002111 has 96 divisors (see below), whose sum is σ = 40083772385280. Its totient is φ = 10382808744000.

The previous prime is 21121222002103. The next prime is 21121222002113. The reversal of 21121222002111 is 11120022212112.

21121222002111 is a `hidden beast` number, since 21 + 1 + 212 + 220 + 0 + 211 + 1 = 666.

It is not a de Polignac number, because 21121222002111 - 23 = 21121222002103 is a prime.

It is a super-2 number, since 2×211212220021112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121222002113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10718136 + ... + 12534786.

It is an arithmetic number, because the mean of its divisors is an integer number (417539295680).

Almost surely, 221121222002111 is an apocalyptic number.

21121222002111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21121222002111 is a deficient number, since it is larger than the sum of its proper divisors (18962550383169).

21121222002111 is a wasteful number, since it uses less digits than its factorization.

21121222002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817577 (or 1817574 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21121222002111 its reverse (11120022212112), we get a palindrome (32241244214223).

The spelling of 21121222002111 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty-two million, two thousand, one hundred eleven".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 133 171 209 231 399 627 693 883 1197 1463 1881 2649 4389 6181 7947 9713 13167 16777 18543 29139 50331 55629 67991 87417 117439 150993 184547 203973 352317 553641 611919 1056951 1291829 1660923 1816651 3875487 5449953 11626461 12716557 16349859 19983161 34516369 38149671 59949483 103549107 114449013 139882127 179848449 241614583 310647321 379680059 419646381 724843749 1139040177 1258939143 1604102833 2174531247 2657760413 3417120531 4812308499 7973281239 11228719831 14436925497 17645131163 23919843717 30477953827 33686159493 52935393489 91433861481 101058478479 123515918141 158806180467 213345676789 274301584443 335257492097 370547754423 640037030367 1005772476291 1111643263269 1920111091101 2346802444679 3017317428873 7040407334037 21121222002111