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1112111220 = 2235113745541
BaseRepresentation
bin100001001001001…
…0111100001110100
32212111122002210110
41002102113201310
54234200024340
6302204223020
736362534523
oct10222274164
92774562713
101112111220
11520837690
1227053aa70
1314953149c
14a79b24ba
1567979680
hex42497874

1112111220 has 96 divisors (see below), whose sum is σ = 3488881536. Its totient is φ = 262310400.

The previous prime is 1112111201. The next prime is 1112111239. The reversal of 1112111220 is 221112111.

It is an interprime number because it is at equal distance from previous prime (1112111201) and next prime (1112111239).

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 = 1112111196 and 1112111205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1650 + ... + 47190.

It is an arithmetic number, because the mean of its divisors is an integer number (36342516).

Almost surely, 21112111220 is an apocalyptic number.

1112111220 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 1112111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744440768).

1112111220 is an abundant number, since it is smaller than the sum of its proper divisors (2376770316).

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

1112111220 is a wasteful number, since it uses less digits than its factorization.

1112111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45601 (or 45599 counting only the distinct ones).

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

The square root of 1112111220 is about 33348.3315924500. The cubic root of 1112111220 is about 1036.0548325455.

Adding to 1112111220 its reverse (221112111), we get a palindrome (1333223331).

The spelling of 1112111220 in words is "one billion, one hundred twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 45541 91082 136623 182164 227705 273246 455410 500951 546492 683115 910820 1001902 1366230 1502853 1685017 2003804 2504755 2732460 3005706 3370034 5009510 5055051 6011412 6740068 7514265 8425085 10019020 10110102 15028530 16850170 18535187 20220204 25275255 30057060 33700340 37070374 50550510 55605561 74140748 92675935 101101020 111211122 185351870 222422244 278027805 370703740 556055610 1112111220