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111220021111120 = 24517376391051987
BaseRepresentation
bin11001010010011101101101…
…110110011010100101010000
3112120210112022111111201100121
4121102131231312122211100
5104034212100401023440
61032313434454200024
732266244543044135
oct3122355566324520
9476715274451317
10111220021111120
1132490167465409
1210583228053014
134a0a006745b7c
141d6711348858c
15ccd14be3934a
hex65276dd9a950

111220021111120 has 80 divisors (see below), whose sum is σ = 260115562788480. Its totient is φ = 44225020150272.

The previous prime is 111220021111033. The next prime is 111220021111123. The reversal of 111220021111120 is 21111120022111.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 111220021111094 and 111220021111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111220021111123) 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, 105197767 + ... + 106249753.

It is an arithmetic number, because the mean of its divisors is an integer number (3251444534856).

Almost surely, 2111220021111120 is an apocalyptic number.

111220021111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111220021111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130057781394240).

111220021111120 is an abundant number, since it is smaller than the sum of its proper divisors (148895541677360).

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

111220021111120 is a wasteful number, since it uses less digits than its factorization.

111220021111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059812 (or 1059806 counting only the distinct ones).

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

Adding to 111220021111120 its reverse (21111120022111), we get a palindrome (132331141133231).

The spelling of 111220021111120 in words is "one hundred eleven trillion, two hundred twenty billion, twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 7639 13840 15278 30556 38195 61112 76390 122224 152780 305560 611120 1051987 1321547 2103974 2643094 4207948 5259935 5286188 6607735 8415896 10519870 10572376 13215470 16831792 21039740 21144752 26430940 42079480 52861880 84158960 105723760 181993751 363987502 727975004 909968755 1455950008 1819937510 2911900016 3639875020 7279750040 8036128693 14559500080 16072257386 32144514772 40180643465 64289029544 80361286930 128578059088 160722573860 321445147720 642890295440 1390250263889 2780500527778 5561001055556 6951251319445 11122002111112 13902502638890 22244004222224 27805005277780 55610010555560 111220021111120