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11254300020 = 223251914872213
BaseRepresentation
bin10100111101100111…
…01111110101110100
31002001022221200021200
422132303233311310
5141022100100040
65100430412500
7545614654215
oct123663576564
932038850250
1011254300020
1148558391a7
122221061130
1310a4814332
1478a98940c
1545d072630
hex29ecefd74

11254300020 has 144 divisors (see below), whose sum is σ = 35975197440. Its totient is φ = 2839995648.

The previous prime is 11254300007. The next prime is 11254300021. The reversal of 11254300020 is 2000345211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11254299966 and 11254300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11254300021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5084434 + ... + 5086646.

It is an arithmetic number, because the mean of its divisors is an integer number (249827760).

Almost surely, 211254300020 is an apocalyptic number.

11254300020 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 11254300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987598720).

11254300020 is an abundant number, since it is smaller than the sum of its proper divisors (24720897420).

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

11254300020 is a wasteful number, since it uses less digits than its factorization.

11254300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 11254300020 its reverse (2000345211), we get a palindrome (13254645231).

The spelling of 11254300020 in words is "eleven billion, two hundred fifty-four million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1487 1710 2213 2974 3420 4426 4461 5948 6639 7435 8852 8922 11065 13278 13383 14870 17844 19917 22130 22305 26556 26766 28253 29740 33195 39834 42047 44260 44610 53532 56506 66390 66915 79668 84094 84759 89220 99585 113012 126141 132780 133830 141265 168188 169518 199170 210235 252282 254277 267660 282530 339036 378423 398340 420470 423795 504564 508554 565060 630705 756846 840940 847590 1017108 1261410 1271385 1513692 1695180 1892115 2522820 2542770 3290731 3784230 5085540 6581462 7568460 9872193 13162924 16453655 19744386 29616579 32907310 39488772 49360965 59233158 62523889 65814620 98721930 118466316 125047778 148082895 187571667 197443860 250095556 296165790 312619445 375143334 562715001 592331580 625238890 750286668 937858335 1125430002 1250477780 1875716670 2250860004 2813575005 3751433340 5627150010 11254300020