Search a number
-
+
1030203123200 = 2952109738391
BaseRepresentation
bin11101111110111001110…
…01000010011000000000
310122111010121221001111122
432333130321002120000
5113334323444420300
62105134020131412
7134300252030546
oct16773471023000
93574117831448
101030203123200
113679a7895439
121477b0b36b68
13761bc76c684
1437c0d847d96
151bbe8114c85
hexefdce42600

1030203123200 has 120 divisors (see below), whose sum is σ = 2575828804560. Its totient is φ = 408300134400.

The previous prime is 1030203123109. The next prime is 1030203123233. The reversal of 1030203123200 is 23213020301.

It is a super-2 number, since 2×10302031232002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1026005 + ... + 1764395.

It is an arithmetic number, because the mean of its divisors is an integer number (21465240038).

Almost surely, 21030203123200 is an apocalyptic number.

1030203123200 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 1030203123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287914402280).

1030203123200 is an abundant number, since it is smaller than the sum of its proper divisors (1545625681360).

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

1030203123200 is an equidigital number, since it uses as much as digits as its factorization.

1030203123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738528 (or 738507 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1030203123200 its reverse (23213020301), we get a palindrome (1053416143501).

The spelling of 1030203123200 in words is "one trillion, thirty billion, two hundred three million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 128 160 200 218 256 320 400 436 512 545 640 800 872 1090 1280 1600 1744 2180 2560 2725 3200 3488 4360 5450 6400 6976 8720 10900 12800 13952 17440 21800 27904 34880 43600 55808 69760 87200 139520 174400 279040 348800 697600 738391 1395200 1476782 2953564 3691955 5907128 7383910 11814256 14767820 18459775 23628512 29535640 36919550 47257024 59071280 73839100 80484619 94514048 118142560 147678200 160969238 189028096 236285120 295356400 321938476 378056192 402423095 472570240 590712800 643876952 804846190 945140480 1181425600 1287753904 1609692380 1890280960 2012115475 2362851200 2575507808 3219384760 4024230950 4725702400 5151015616 6438769520 8048461900 9451404800 10302031232 12877539040 16096923800 20604062464 25755078080 32193847600 41208124928 51510156160 64387695200 103020312320 128775390400 206040624640 257550780800 515101561600 1030203123200