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21221310022101 = 3372179467311027
BaseRepresentation
bin1001101001100111110001…
…01001010100000111010101
32210010201220120201220101000
410310303320221110013111
510240142220331201401
6113044534002253513
74320121562643150
oct464637051240725
983121816656330
1021221310022101
1168419a82a6142
1224689b9957299
13bac2127acc77
1453518ca3ac97
1526c03580c186
hex134cf8a541d5

21221310022101 has 64 divisors (see below), whose sum is σ = 35957702707200. Its totient is φ = 12117204937728.

The previous prime is 21221310022061. The next prime is 21221310022109. The reversal of 21221310022101 is 10122001312212.

21221310022101 is a `hidden beast` number, since 212 + 21 + 310 + 0 + 22 + 101 = 666.

It is not a de Polignac number, because 21221310022101 - 26 = 21221310022037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221310022109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1924480750 + ... + 1924491776.

It is an arithmetic number, because the mean of its divisors is an integer number (561839104800).

Almost surely, 221221310022101 is an apocalyptic number.

21221310022101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21221310022101 is a deficient number, since it is larger than the sum of its proper divisors (14736392685099).

21221310022101 is a wasteful number, since it uses less digits than its factorization.

21221310022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17895 (or 17889 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21221310022101 its reverse (10122001312212), we get a palindrome (31343311334313).

The spelling of 21221310022101 in words is "twenty-one trillion, two hundred twenty-one billion, three hundred ten million, twenty-two thousand, one hundred one".

Divisors: 1 3 7 9 21 27 63 189 2179 4673 6537 11027 14019 15253 19611 32711 33081 42057 45759 58833 77189 98133 99243 126171 137277 231567 294399 297729 411831 694701 883197 2084103 10182467 24027833 30547401 51529171 71277269 72083499 91642203 154587513 168194831 213831807 216250497 274926609 360704197 463762539 504584493 641495421 648751491 1082112591 1391287617 1513753479 1924486263 3246337773 4541260437 9739013319 112282063609 336846190827 785974445263 1010538572481 2357923335789 3031615717443 7073770007367 21221310022101