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3105545300 = 22521113792749
BaseRepresentation
bin1011100100011010…
…1101110001010100
322000102122001021022
42321012231301110
522330004422200
61232054340312
7136646461634
oct27106556124
98012561238
103105545300
111353aaa170
1272805a698
133a651a090
1421663c6c4
15132991885
hexb91adc54

3105545300 has 144 divisors (see below), whose sum is σ = 8020320000. Its totient is φ = 1028851200.

The previous prime is 3105545293. The next prime is 3105545321. The reversal of 3105545300 is 35455013.

3105545300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×31055453003 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 3105545300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1128326 + ... + 1131074.

Almost surely, 23105545300 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 3105545300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010160000).

3105545300 is an abundant number, since it is smaller than the sum of its proper divisors (4914774700).

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

3105545300 is a wasteful number, since it uses less digits than its factorization.

3105545300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 3105545300 is about 55727.4196423987. The cubic root of 3105545300 is about 1458.9686373384.

The spelling of 3105545300 in words is "three billion, one hundred five million, five hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 79 100 110 130 143 158 220 260 275 286 316 325 395 550 572 650 715 790 869 1027 1100 1300 1430 1580 1738 1975 2054 2749 2860 3476 3575 3950 4108 4345 5135 5498 7150 7900 8690 10270 10996 11297 13745 14300 17380 20540 21725 22594 25675 27490 30239 35737 43450 45188 51350 54980 56485 60478 68725 71474 86900 102700 112970 120956 137450 142948 151195 178685 217171 225940 274900 282425 302390 357370 393107 434342 564850 604780 714740 755975 786214 868684 893425 1085855 1129700 1511950 1572428 1786850 1965535 2171710 2388881 2823223 3023900 3573700 3931070 4343420 4777762 5429275 5646446 7862140 9555524 9827675 10858550 11292892 11944405 14116115 19655350 21717100 23888810 28232230 31055453 39310700 47777620 56464460 59722025 62110906 70580575 119444050 124221812 141161150 155277265 238888100 282322300 310554530 621109060 776386325 1552772650 3105545300