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12110034020 = 22572912132459
BaseRepresentation
bin10110100011101000…
…00111010001100100
31011020222011110122112
423101310013101210
5144300132042040
65321400020152
7606045406430
oct132164072144
934228143575
1012110034020
115154886887
12241b761658
1311acbac506
1482c4a19c0
154ad258365
hex2d1d07464

12110034020 has 96 divisors (see below), whose sum is σ = 30103315200. Its totient is φ = 4003905024.

The previous prime is 12110033993. The next prime is 12110034119. The reversal of 12110034020 is 2043001121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12110033986 and 12110034004.

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, 4923551 + ... + 4926009.

It is an arithmetic number, because the mean of its divisors is an integer number (313576200).

Almost surely, 212110034020 is an apocalyptic number.

12110034020 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 12110034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15051657600).

12110034020 is an abundant number, since it is smaller than the sum of its proper divisors (17993281180).

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

12110034020 is a wasteful number, since it uses less digits than its factorization.

12110034020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12110034020 its reverse (2043001121), we get a palindrome (14153035141).

The spelling of 12110034020 in words is "twelve billion, one hundred ten million, thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 1213 2030 2426 2459 4060 4852 4918 6065 8491 9836 12130 12295 16982 17213 24260 24590 33964 34426 35177 42455 49180 68852 70354 71311 84910 86065 140708 142622 169820 172130 175885 246239 285244 344260 351770 356555 492478 499177 703540 713110 984956 998354 1231195 1426220 1996708 2462390 2495885 2982767 4924780 4991770 5965534 9983540 11931068 14913835 20879369 29827670 41758738 59655340 83517476 86500243 104396845 173000486 208793690 346000972 417587380 432501215 605501701 865002430 1211003402 1730004860 2422006804 3027508505 6055017010 12110034020