Search a number
-
+
20003123003100 = 223521710338079427
BaseRepresentation
bin1001000110001010101110…
…00010100111111011011100
32121211021120000221111112020
410203011113002213323130
510110212343442044400
6110313150254540140
74133115015064116
oct443052702477334
977737500844466
1020003123003100
116412305500536
1222b08a5507650
13b21395304073
144d2228d223b6
1524a4d91252a0
hex1231570a7edc

20003123003100 has 144 divisors (see below), whose sum is σ = 61875110239488. Its totient is φ = 4971649858560.

The previous prime is 20003123003093. The next prime is 20003123003131. The reversal of 20003123003100 is 130032130002.

It is a super-2 number, since 2×200031230031002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20003123003100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18514414 + ... + 19565013.

It is an arithmetic number, because the mean of its divisors is an integer number (429688265552).

Almost surely, 220003123003100 is an apocalyptic number.

20003123003100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20003123003100 is an abundant number, since it is smaller than the sum of its proper divisors (41871987236388).

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

20003123003100 is a wasteful number, since it uses less digits than its factorization.

20003123003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38079564 (or 38079557 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20003123003100 its reverse (130032130002), we get a palindrome (20133155133102).

The spelling of 20003123003100 in words is "twenty trillion, three billion, one hundred twenty-three million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 103 150 170 204 206 255 300 309 340 412 425 510 515 618 850 1020 1030 1236 1275 1545 1700 1751 2060 2550 2575 3090 3502 5100 5150 5253 6180 7004 7725 8755 10300 10506 15450 17510 21012 26265 30900 35020 43775 52530 87550 105060 131325 175100 262650 525300 38079427 76158854 114238281 152317708 190397135 228476562 380794270 456953124 571191405 647350259 761588540 951985675 1142382810 1294700518 1903971350 1942050777 2284765620 2589401036 2855957025 3236751295 3807942700 3884101554 3922180981 5711914050 6473502590 7768203108 7844361962 9710253885 11423828100 11766542943 12947005180 15688723924 16183756475 19420507770 19610904905 23533085886 32367512950 38841015540 39221809810 47066171772 48551269425 58832714715 64735025900 66677076677 78443619620 97102538850 98054524525 117665429430 133354153354 194205077700 196109049050 200031230031 235330858860 266708306708 294163573575 333385383385 392218098100 400062460062 588327147150 666770766770 800124920124 1000156150155 1176654294300 1333541533540 1666926916925 2000312300310 3333853833850 4000624600620 5000780750775 6667707667700 10001561501550 20003123003100