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21121110022212 = 22334110346309693
BaseRepresentation
bin1001100110101101001000…
…10000101001100001000100
32202210011021110202111212000
410303112210100221201010
510232022013131202322
6112530523132425300
74306643540000454
oct463264420514104
982704243674760
1021121110022212
116803459a88182
1224514b5018230
13ba29347162c5
145303a51d7d64
1526961dc683ac
hex1335a4429844

21121110022212 has 96 divisors (see below), whose sum is σ = 56638608149760. Its totient is φ = 6801967560960.

The previous prime is 21121110022211. The next prime is 21121110022351. The reversal of 21121110022212 is 21222001112112.

21121110022212 is a `hidden beast` number, since 211 + 211 + 10 + 0 + 22 + 212 = 666.

It is a super-2 number, since 2×211211100222122 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21121110022211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22698763 + ... + 23610930.

It is an arithmetic number, because the mean of its divisors is an integer number (589985501560).

Almost surely, 221121110022212 is an apocalyptic number.

It is an amenable number.

21121110022212 is an abundant number, since it is smaller than the sum of its proper divisors (35517498127548).

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

21121110022212 is a wasteful number, since it uses less digits than its factorization.

21121110022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46309850 (or 46309842 counting only the distinct ones).

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

Adding to 21121110022212 its reverse (21222001112112), we get a palindrome (42343111134324).

The spelling of 21121110022212 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred ten million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 103 108 123 164 206 246 309 369 412 492 618 738 927 1107 1236 1476 1854 2214 2781 3708 4223 4428 5562 8446 11124 12669 16892 25338 38007 50676 76014 114021 152028 228042 456084 46309693 92619386 138929079 185238772 277858158 416787237 555716316 833574474 1250361711 1667148948 1898697413 2500723422 3797394826 4769898379 5001446844 5696092239 7594789652 9539796758 11392184478 14309695137 17088276717 19079593516 22784368956 28619390274 34176553434 42929085411 51264830151 57238780548 68353106868 85858170822 102529660302 128787256233 171716341644 195565833539 205059320604 257574512466 391131667078 515149024932 586697500617 782263334156 1173395001234 1760092501851 2346790002468 3520185003702 5280277505553 7040370007404 10560555011106 21121110022212