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35101130020 = 225111934191973
BaseRepresentation
bin100000101100001100…
…001011110100100100
310100121020222011020121
4200230030023310210
51033341342130040
624043015011324
72351560453015
oct405414136444
9110536864217
1035101130020
1113982744570
126977369b44
133405171928
1419adb1300c
15da68a9c4a
hex82c30bd24

35101130020 has 96 divisors (see below), whose sum is σ = 81064126080. Its totient is φ = 12661186560.

The previous prime is 35101130017. The next prime is 35101130033. The reversal of 35101130020 is 2003110153.

It is a junction number, because it is equal to n+sod(n) for n = 35101129976 and 35101130003.

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, 17789754 + ... + 17791726.

It is an arithmetic number, because the mean of its divisors is an integer number (844417980).

Almost surely, 235101130020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35101130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40532063040).

35101130020 is an abundant number, since it is smaller than the sum of its proper divisors (45962996060).

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

35101130020 is a wasteful number, since it uses less digits than its factorization.

35101130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 35101130020 its reverse (2003110153), we get a palindrome (37104240173).

The spelling of 35101130020 in words is "thirty-five billion, one hundred one million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 419 772 838 965 1676 1930 1973 2095 2123 3860 3946 4190 4246 4609 7892 8380 8492 9218 9865 10615 18436 19730 21230 21703 23045 39460 42460 43406 46090 80867 86812 92180 108515 161734 217030 323468 380789 404335 434060 761578 808670 826687 889537 1523156 1617340 1653374 1779074 1903945 3306748 3558148 3807890 4133435 4188679 4447685 7615780 8266870 8377358 8895370 9093557 16533740 16754716 17790740 18187114 20943395 36374228 41886790 45467785 83773580 90935570 159550591 181871140 319101182 638202364 797752955 1595505910 1755056501 3191011820 3510113002 7020226004 8775282505 17550565010 35101130020