Search a number
-
+
21122212212120 = 23351583111192947
BaseRepresentation
bin1001100110101111001011…
…11101001010110110011000
32202210021010021201120011110
410303113211331022312120
510232031242311241440
6112531224344300320
74310013052314225
oct463274575126630
982707107646143
1021122212212120
116803975158828
1224517621716a0
13ba2a7bb82996
1453046b74694c
152696858d3080
hex1335e5f4ad98

21122212212120 has 64 divisors (see below), whose sum is σ = 63406666667520. Its totient is φ = 5629031698304.

The previous prime is 21122212212067. The next prime is 21122212212149. The reversal of 21122212212120 is 2121221222112.

It is a super-2 number, since 2×211222122121202 (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 15 ways as a sum of consecutive naturals, for example, 55406514 + ... + 55786433.

It is an arithmetic number, because the mean of its divisors is an integer number (990729166680).

Almost surely, 221122212212120 is an apocalyptic number.

21122212212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122212212120 is an abundant number, since it is smaller than the sum of its proper divisors (42284454455400).

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

21122212212120 is a wasteful number, since it uses less digits than its factorization.

21122212212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111194544 (or 111194540 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 21122212212120 its reverse (2121221222112), we get a palindrome (23243433434232).

The spelling of 21122212212120 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1583 3166 4749 6332 7915 9498 12664 15830 18996 23745 31660 37992 47490 63320 94980 189960 111192947 222385894 333578841 444771788 555964735 667157682 889543576 1111929470 1334315364 1667894205 2223858940 2668630728 3335788410 4447717880 6671576820 13343153640 176018435101 352036870202 528055305303 704073740404 880092175505 1056110610606 1408147480808 1760184351010 2112221221212 2640276526515 3520368702020 4224442442424 5280553053030 7040737404040 10561106106060 21122212212120