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112003020 = 22335211983
BaseRepresentation
bin1101010110100…
…00011111001100
321210202100021000
412223100133030
5212133044040
615040340300
72530003263
oct653203714
9253670230
10112003020
115824a588
1231614690
131a286c9c
1410c375da
159c76130
hex6ad07cc

112003020 has 96 divisors (see below), whose sum is σ = 350461440. Its totient is φ = 29695680.

The previous prime is 112003019. The next prime is 112003037. The reversal of 112003020 is 20300211.

Adding to 112003020 its reverse (20300211), we get a palindrome (132303231).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112002993 and 112003011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113449 + ... + 114431.

It is an arithmetic number, because the mean of its divisors is an integer number (3650640).

Almost surely, 2112003020 is an apocalyptic number.

112003020 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 112003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175230720).

112003020 is an abundant number, since it is smaller than the sum of its proper divisors (238458420).

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

112003020 is a wasteful number, since it uses less digits than its factorization.

112003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 112003020 is about 10583.1479248851. The cubic root of 112003020 is about 482.0327853137.

The spelling of 112003020 in words is "one hundred twelve million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 211 270 422 540 633 844 983 1055 1266 1899 1966 2110 2532 2949 3165 3798 3932 4220 4915 5697 5898 6330 7596 8847 9495 9830 11394 11796 12660 14745 17694 18990 19660 22788 26541 28485 29490 35388 37980 44235 53082 56970 58980 88470 106164 113940 132705 176940 207413 265410 414826 530820 622239 829652 1037065 1244478 1866717 2074130 2488956 3111195 3733434 4148260 5600151 6222390 7466868 9333585 11200302 12444780 18667170 22400604 28000755 37334340 56001510 112003020