Search a number
-
+
21021121111122 = 23211432659928547
BaseRepresentation
bin1001100011110010111000…
…11101001110010001010010
32202102121012001222112201200
410301321130131032101102
510223402224001023442
6112412545243212030
74266503656165236
oct461713435162122
982377161875650
1021021121111122
116775009936370
12243604ab17016
13b9638b2b9c62
145295db8225c6
15266c1a9be34c
hex131e5c74e452

21021121111122 has 96 divisors (see below), whose sum is σ = 50860956706560. Its totient is φ = 6219549675360.

The previous prime is 21021121111121. The next prime is 21021121111169. The reversal of 21021121111122 is 22111112112012.

It is a happy number.

21021121111122 is a `hidden beast` number, since 210 + 211 + 211 + 1 + 11 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21021121111095 and 21021121111104.

It is not an unprimeable number, because it can be changed into a prime (21021121111121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22174453 + ... + 23102999.

It is an arithmetic number, because the mean of its divisors is an integer number (529801632360).

Almost surely, 221021121111122 is an apocalyptic number.

21021121111122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21021121111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25430478353280).

21021121111122 is an abundant number, since it is smaller than the sum of its proper divisors (29839835595438).

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

21021121111122 is a wasteful number, since it uses less digits than its factorization.

21021121111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931268 (or 931265 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21021121111122 its reverse (22111112112012), we get a palindrome (43132233223134).

The spelling of 21021121111122 in words is "twenty-one trillion, twenty-one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2659 2838 4257 5318 7977 8514 15954 23931 29249 47862 58498 87747 114337 175494 228674 263241 343011 526482 686022 928547 1029033 1257707 1857094 2058066 2515414 2785641 3773121 5571282 7546242 8356923 10214017 11319363 16713846 20428034 22638726 30642051 39927521 61284102 79855042 91926153 119782563 183852306 239565126 359347689 439202731 718695378 878405462 1317608193 2469006473 2635216386 3952824579 4938012946 7407019419 7905649158 14814038838 22221058257 27159071203 44442116514 54318142406 81477213609 106167278339 162954427218 212334556678 244431640827 318501835017 488863281654 637003670034 955505505051 1167840061729 1911011010102 2335680123458 3503520185187 7007040370374 10510560555561 21021121111122