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110013322221 = 321137791033691
BaseRepresentation
bin110011001110101001…
…1100001001111101101
3101111222000110211000200
41212131103201033231
53300301402302341
6122312303144113
710643142544515
oct1463523411755
9344860424020
10110013322221
114272471a310
12193a32a5039
13a4b31b298a
145478c90845
152cdd379db6
hex199d4e13ed

110013322221 has 96 divisors (see below), whose sum is σ = 182092984320. Its totient is φ = 63412502400.

The previous prime is 110013322219. The next prime is 110013322241. The reversal of 110013322221 is 122223310011.

110013322221 is a `hidden beast` number, since 110 + 0 + 1 + 332 + 2 + 221 = 666.

It is not a de Polignac number, because 110013322221 - 21 = 110013322219 is a prime.

It is a super-2 number, since 2×1100133222212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110013322194 and 110013322203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110013322241) 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, 29803986 + ... + 29807676.

It is an arithmetic number, because the mean of its divisors is an integer number (1896801920).

Almost surely, 2110013322221 is an apocalyptic number.

110013322221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110013322221 is a deficient number, since it is larger than the sum of its proper divisors (72079662099).

110013322221 is a wasteful number, since it uses less digits than its factorization.

110013322221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110013322221 its reverse (122223310011), we get a palindrome (232236632232).

It can be divided in two parts, 110013 and 322221, that added together give a palindrome (432234).

The spelling of 110013322221 in words is "one hundred ten billion, thirteen million, three hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 37 79 99 103 111 237 309 333 407 711 869 927 1133 1221 2607 2923 3399 3663 3691 3811 7821 8137 8769 10197 11073 11433 24411 26307 32153 33219 34299 40601 41921 73233 89507 96459 121803 125763 136567 268521 289377 291589 301069 365409 377289 380173 409701 805563 874767 903207 1140519 1229103 1502237 2624301 2709621 3207479 3311759 3421557 4181903 4506711 9622437 9935277 10788793 12545709 13520133 14066401 28867311 29805831 30033667 32366379 37637127 42199203 90101001 97099137 118676723 126597609 154730411 270303003 330370337 356030169 464191233 991111011 1068090507 1111245679 1392573699 2973333033 3333737037 10001211111 12223702469 36671107407 110013322221