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21211101012222 = 23311179199491197
BaseRepresentation
bin1001101001010100110000…
…01001000010000011111110
32210002202120002200110121000
410310222120021002003332
510240010313324342342
6113040124551551130
74316310566540022
oct464523011020376
983082502613530
1021211101012222
1168386396049a0
122466a2a98b4a6
13bab276702514
145348a0c2c382
1526bb3941544c
hex134a982420fe

21211101012222 has 64 divisors (see below), whose sum is σ = 51708118521600. Its totient is φ = 6391697919840.

The previous prime is 21211101012221. The next prime is 21211101012259. The reversal of 21211101012222 is 22221010111212.

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 = 21211101012195 and 21211101012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211101012221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99639273 + ... + 99851924.

It is an arithmetic number, because the mean of its divisors is an integer number (807939351900).

Almost surely, 221211101012222 is an apocalyptic number.

21211101012222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21211101012222 is an abundant number, since it is smaller than the sum of its proper divisors (30497017509378).

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

21211101012222 is a wasteful number, since it uses less digits than its factorization.

21211101012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199491398 (or 199491392 counting only the distinct ones).

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

Adding to 21211101012222 its reverse (22221010111212), we get a palindrome (43432111123434).

The spelling of 21211101012222 in words is "twenty-one trillion, two hundred eleven billion, one hundred one million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 179 198 297 358 537 594 1074 1611 1969 3222 3938 4833 5907 9666 11814 17721 35442 53163 106326 199491197 398982394 598473591 1196947182 1795420773 2194403167 3590841546 4388806334 5386262319 6583209501 10772524638 13166419002 19749628503 35708924263 39499257006 59248885509 71417848526 107126772789 118497771018 214253545578 321380318367 392798166893 642760636734 785596333786 964140955101 1178394500679 1928281910202 2356789001358 3535183502037 7070367004074 10605550506111 21211101012222