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106030603500 = 22353163433663
BaseRepresentation
bin110001010111111101…
…0101001110011101100
3101010200110021202000220
41202233322221303230
53214122313303000
6120413151451340
710442352154623
oct1425772516354
9333613252026
10106030603500
1140a70569838
1218671526b50
139cca032093
1451bbd586ba
152b588ba1a0
hex18afea9cec

106030603500 has 96 divisors (see below), whose sum is σ = 310656073728. Its totient is φ = 28101297600.

The previous prime is 106030603493. The next prime is 106030603537. The reversal of 106030603500 is 5306030601.

It is a super-2 number, since 2×1060306035002 (a number of 23 digits) contains 22 as substring.

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, 27669 + ... + 461331.

It is an arithmetic number, because the mean of its divisors is an integer number (3236000768).

Almost surely, 2106030603500 is an apocalyptic number.

106030603500 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 106030603500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155328036864).

106030603500 is an abundant number, since it is smaller than the sum of its proper divisors (204625470228).

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

106030603500 is a wasteful number, since it uses less digits than its factorization.

106030603500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433848 (or 433836 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The spelling of 106030603500 in words is "one hundred six billion, thirty million, six hundred three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 163 250 300 326 375 489 500 652 750 815 978 1500 1630 1956 2445 3260 4075 4890 8150 9780 12225 16300 20375 24450 40750 48900 61125 81500 122250 244500 433663 867326 1300989 1734652 2168315 2601978 4336630 5203956 6504945 8673260 10841575 13009890 21683150 26019780 32524725 43366300 54207875 65049450 70687069 108415750 130098900 141374138 162623625 212061207 216831500 282748276 325247250 353435345 424122414 650494500 706870690 848244828 1060306035 1413741380 1767176725 2120612070 3534353450 4241224140 5301530175 7068706900 8835883625 10603060350 17671767250 21206120700 26507650875 35343534500 53015301750 106030603500