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10111212112221 = 3211376961396547
BaseRepresentation
bin1001001100100011001100…
…1101001100100101011101
31022210121210202102220120200
42103020303031030211131
52311130230300042341
633301005434334113
72062340155610523
oct223106315144535
938717722386520
1010111212112221
113249160702a70
12117375458a339
135846387ca99c
1426d5572b6313
15128038669db6
hex9323334c95d

10111212112221 has 48 divisors (see below), whose sum is σ = 16365827819328. Its totient is φ = 5961513945600.

The previous prime is 10111212112163. The next prime is 10111212112237. The reversal of 10111212112221 is 12221121211101.

It is a happy number.

10111212112221 is a `hidden beast` number, since 10 + 111 + 212 + 112 + 221 = 666.

It is not a de Polignac number, because 10111212112221 - 214 = 10111212095837 is a prime.

It is a super-2 number, since 2×101112121122212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111212112194 and 10111212112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111212112291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25299870 + ... + 25696416.

It is an arithmetic number, because the mean of its divisors is an integer number (340954746236).

Almost surely, 210111212112221 is an apocalyptic number.

10111212112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111212112221 is a deficient number, since it is larger than the sum of its proper divisors (6254615707107).

10111212112221 is a wasteful number, since it uses less digits than its factorization.

10111212112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403562 (or 403559 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10111212112221 its reverse (12221121211101), we get a palindrome (22332333323322).

The spelling of 10111212112221 in words is "ten trillion, one hundred eleven billion, two hundred twelve million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 6961 20883 62649 76571 229713 257557 396547 689139 772671 1189641 2318013 2833127 3568923 4362017 8499381 13086051 14672239 25498143 39258153 44016717 132050151 161394629 484183887 1452551661 2760363667 8281091001 24843273003 30364000337 91092001011 102133455679 273276003033 306400367037 919201101111 1123468012469 3370404037407 10111212112221