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221002011120 = 24351183712883
BaseRepresentation
bin1100110111010010111…
…1110001000111110000
3210010110000021101121010
43031310233301013300
512110103003323440
6245305452030520
721652431046062
oct3156457610760
9703400241533
10221002011120
11857a9967a90
12369b9162440
1317ac04894a7
14a9a74b9732
155b3716c580
hex3374bf11f0

221002011120 has 80 divisors (see below), whose sum is σ = 747388628352. Its totient is φ = 53576244480.

The previous prime is 221002011077. The next prime is 221002011121. The reversal of 221002011120 is 21110200122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221002011096 and 221002011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002011121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41853802 + ... + 41859081.

Almost surely, 2221002011120 is an apocalyptic number.

221002011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002011120 is an abundant number, since it is smaller than the sum of its proper divisors (526386617232).

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

221002011120 is a wasteful number, since it uses less digits than its factorization.

221002011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83712910 (or 83712904 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221002011120 its reverse (21110200122), we get a palindrome (242112211242).

The spelling of 221002011120 in words is "two hundred twenty-one billion, two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 83712883 167425766 251138649 334851532 418564415 502277298 669703064 837128830 920841713 1004554596 1255693245 1339406128 1674257660 1841683426 2009109192 2511386490 2762525139 3348515320 3683366852 4018218384 4604208565 5022772980 5525050278 6697030640 7366733704 9208417130 10045545960 11050100556 13812625695 14733467408 18416834260 20091091920 22100201112 27625251390 36833668520 44200402224 55250502780 73667337040 110501005560 221002011120