Search a number
-
+
10243512300 = 22352723212081
BaseRepresentation
bin10011000101000111…
…11001011111101100
3222102212222100012110
421202203321133230
5131434314343200
64412242004020
7511562263230
oct114243713754
928385870173
1010243512300
11438721744a
121b9a646610
13c7329aba8
146d26305c0
153ee45eb50
hex2628f97ec

10243512300 has 144 divisors (see below), whose sum is σ = 35344737792. Its totient is φ = 2239564800.

The previous prime is 10243512247. The next prime is 10243512341. The reversal of 10243512300 is 321534201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57741 + ... + 154340.

It is an arithmetic number, because the mean of its divisors is an integer number (245449568).

Almost surely, 210243512300 is an apocalyptic number.

10243512300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10243512300 is an abundant number, since it is smaller than the sum of its proper divisors (25101225492).

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

10243512300 is a wasteful number, since it uses less digits than its factorization.

10243512300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212128 (or 212121 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 10243512300 in words is "ten billion, two hundred forty-three million, five hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 25 28 30 35 42 46 50 60 69 70 75 84 92 100 105 115 138 140 150 161 175 210 230 276 300 322 345 350 420 460 483 525 575 644 690 700 805 966 1050 1150 1380 1610 1725 1932 2100 2300 2415 3220 3450 4025 4830 6900 8050 9660 12075 16100 24150 48300 212081 424162 636243 848324 1060405 1272486 1484567 2120810 2544972 2969134 3181215 4241620 4453701 4877863 5302025 5938268 6362430 7422835 8907402 9755726 10604050 12724860 14633589 14845670 15906075 17814804 19511452 21208100 22268505 24389315 29267178 29691340 31812150 34145041 37114175 44537010 48778630 58534356 63624300 68290082 73167945 74228350 89074020 97557260 102435123 111342525 121946575 136580164 146335890 148456700 170725205 204870246 222685050 243893150 292671780 341450410 365839725 409740492 445370100 487786300 512175615 682900820 731679450 853626025 1024351230 1463358900 1707252050 2048702460 2560878075 3414504100 5121756150 10243512300