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21220111100001 = 31123253101227081
BaseRepresentation
bin1001101001100101100010…
…01011110010100001100001
32210010121211000202100102210
410310302301023302201201
510240132241420200001
6113044215013232333
74320050064164352
oct464626113624141
983117730670383
1021220111100001
116841442566230
1224687243326a9
13bac0812a52c8
145350b770bd29
1526beb5435dd6
hex134cb12f2861

21220111100001 has 96 divisors (see below), whose sum is σ = 33200376660864. Its totient is φ = 11949857920000.

The previous prime is 21220111099991. The next prime is 21220111100003. The reversal of 21220111100001 is 10000111102212.

It is not a de Polignac number, because 21220111100001 - 26 = 21220111099937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21220111100001.

It is not an unprimeable number, because it can be changed into a prime (21220111100003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93333781 + ... + 93560861.

It is an arithmetic number, because the mean of its divisors is an integer number (345837256884).

Almost surely, 221220111100001 is an apocalyptic number.

It is an amenable number.

21220111100001 is a deficient number, since it is larger than the sum of its proper divisors (11980265560863).

21220111100001 is a wasteful number, since it uses less digits than its factorization.

21220111100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227295 (or 227272 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21220111100001 its reverse (10000111102212), we get a palindrome (31220222202213).

The spelling of 21220111100001 in words is "twenty-one trillion, two hundred twenty billion, one hundred eleven million, one hundred thousand, one".

Divisors: 1 3 11 23 33 53 69 101 159 253 303 529 583 759 1111 1219 1587 1749 2323 3333 3657 5353 5819 6969 13409 16059 17457 25553 28037 40227 53429 58883 76659 84111 123119 160287 176649 227081 308407 369357 587719 681243 925221 1354309 1763157 2497891 2831737 4062927 5222863 7493673 8495211 12035293 15668589 22935181 31149107 36105879 57451493 68805543 93447321 120125849 132388223 172354479 252286991 276811739 360377547 397164669 527509163 756860973 830435217 1215564593 1321384339 1582527489 3044929129 3646693779 3964153017 5802600793 6366669997 9134787387 12132710749 13371210523 17407802379 19100009991 27957985639 36398132247 40113631569 70033369967 83873956917 133459818239 210100109901 307537842029 400379454717 643033669697 922613526087 1929101009091 7073370366667 21220111100001