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110144242980 = 223251932205919
BaseRepresentation
bin110011010010100011…
…0111100010100100100
3101112022010211021112200
41212211012330110210
53301033411233410
6122333301214500
710646322421632
oct1464506742444
9345263737480
10110144242980
114279160aa92
121941b101430
13a504361595
14548c410352
152ce9adb3c0
hex19a51bc524

110144242980 has 72 divisors (see below), whose sum is σ = 351688646400. Its totient is φ = 27825913152.

The previous prime is 110144242973. The next prime is 110144243029. The reversal of 110144242980 is 89242441011.

110144242980 is a `hidden beast` number, since 1 + 10 + 144 + 2 + 429 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16099540 + ... + 16106379.

Almost surely, 2110144242980 is an apocalyptic number.

110144242980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110144242980 is an abundant number, since it is smaller than the sum of its proper divisors (241544403420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110144242980 is a wasteful number, since it uses less digits than its factorization.

110144242980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32205953 (or 32205948 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 110144242980 its reverse (89242441011), we get a palindrome (199386683991).

The spelling of 110144242980 in words is "one hundred ten billion, one hundred forty-four million, two hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 32205919 64411838 96617757 128823676 161029595 193235514 289853271 322059190 386471028 483088785 579706542 611912461 644118380 966177570 1159413084 1223824922 1449266355 1835737383 1932355140 2447649844 2898532710 3059562305 3671474766 5507212149 5797065420 6119124610 7342949532 9178686915 11014424298 12238249220 18357373830 22028848596 27536060745 36714747660 55072121490 110144242980