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21121120002222 = 23323101168373591
BaseRepresentation
bin1001100110101101001001…
…10110101110000010101110
32202210011022011112112212000
410303112210312232002232
510232022023210032342
6112530524130353130
74306644020554632
oct463264466560256
982704264475760
1021121120002222
116803464684319
1224514b842b7a6
13ba29367cba36
145303a6674dc2
1526961ea8a44c
hex1335a4dae0ae

21121120002222 has 64 divisors (see below), whose sum is σ = 49461426385920. Its totient is φ = 6667594164000.

The previous prime is 21121120002179. The next prime is 21121120002239. The reversal of 21121120002222 is 22220002112112.

It is a happy number.

21121120002222 is a `hidden beast` number, since 211 + 211 + 20 + 0 + 0 + 2 + 222 = 666.

It is a super-2 number, since 2×211211200022222 (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 a junction number, because it is equal to n+sod(n) for n = 21121120002195 and 21121120002204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84061354 + ... + 84312237.

It is an arithmetic number, because the mean of its divisors is an integer number (772834787280).

Almost surely, 221121120002222 is an apocalyptic number.

21121120002222 is an abundant number, since it is smaller than the sum of its proper divisors (28340306383698).

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

21121120002222 is a wasteful number, since it uses less digits than its factorization.

21121120002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168373726 (or 168373720 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21121120002222 its reverse (22220002112112), we get a palindrome (43341122114334).

The spelling of 21121120002222 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 101 138 202 207 303 414 606 621 909 1242 1818 2323 2727 4646 5454 6969 13938 20907 41814 62721 125442 168373591 336747182 505120773 1010241546 1515362319 3030724638 3872592593 4546086957 7745185186 9092173914 11617777779 17005732691 23235555558 34011465382 34853333337 51017198073 69706666674 102034396146 104560000011 153051594219 209120000022 306103188438 391131851893 459154782657 782263703786 918309565314 1173395555679 2346791111358 3520186667037 7040373334074 10560560001111 21121120002222