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10022022121221 = 32112172323536979
BaseRepresentation
bin1001000111010110111100…
…0100011000011100000101
31022111002120221201220220200
42101311233010120130011
52303200100130334341
633152015311321113
72053032023315325
oct221655704303405
938432527656820
1010022022121221
113214352239700
12115a402b20199
135790c3754296
142690d5bcb285
15125a68490db6
hex91d6f118705

10022022121221 has 72 divisors (see below), whose sum is σ = 17580429397440. Its totient is φ = 5468110728960.

The previous prime is 10022022121217. The next prime is 10022022121333. The reversal of 10022022121221 is 12212122022001.

It is a happy number.

10022022121221 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 221 + 2 + 1 + 221 = 666.

It is not a de Polignac number, because 10022022121221 - 22 = 10022022121217 is a prime.

It is a super-3 number, since 3×100220221212213 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022022121194 and 10022022121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022022521221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11342691 + ... + 12194288.

It is an arithmetic number, because the mean of its divisors is an integer number (244172630520).

Almost surely, 210022022121221 is an apocalyptic number.

10022022121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022022121221 is a deficient number, since it is larger than the sum of its proper divisors (7558407276219).

10022022121221 is a wasteful number, since it uses less digits than its factorization.

10022022121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23537047 (or 23537033 counting only the distinct ones).

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

Adding to 10022022121221 its reverse (12212122022001), we get a palindrome (22234144143222).

The spelling of 10022022121221 in words is "ten trillion, twenty-two billion, twenty-two million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 23 33 51 69 99 121 153 187 207 253 363 391 561 759 1089 1173 1683 2057 2277 2783 3519 4301 6171 8349 12903 18513 25047 38709 47311 141933 425799 23536979 70610937 211832811 258906769 400128643 541350517 776720307 1200385929 1624051551 2330160921 2847974459 3601157787 4401415073 4872154653 5954855687 8543923377 9202958789 13204245219 17864567061 25631770131 27608876367 39612735657 48415565803 53593701183 65503412557 82826629101 101232546679 145246697409 196510237671 303697640037 435740092227 589530713013 911092920111 1113558013469 3340674040407 10022022121221