Search a number
-
+
1030131200 = 2952711497
BaseRepresentation
bin111101011001101…
…000111000000000
32122210101002100102
4331121220320000
54102203144300
6250115141532
734345653650
oct7531507000
92583332312
101030131200
114895338aa
12248ba48a8
13135559ab7
149ab52360
15606840d5
hex3d668e00

1030131200 has 120 divisors (see below), whose sum is σ = 2917088592. Its totient is φ = 353157120.

The previous prime is 1030131143. The next prime is 1030131239. The reversal of 1030131200 is 21310301.

It is a super-2 number, since 2×10301312002 = 2122340578426880000, which 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83852 + ... + 95348.

Almost surely, 21030131200 is an apocalyptic number.

1030131200 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 1030131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458544296).

1030131200 is an abundant number, since it is smaller than the sum of its proper divisors (1886957392).

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

1030131200 is an equidigital number, since it uses as much as digits as its factorization.

1030131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532 (or 11511 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1030131200 is about 32095.6570270808. The cubic root of 1030131200 is about 1009.9445121952.

Adding to 1030131200 its reverse (21310301), we get a palindrome (1051441501).

The spelling of 1030131200 in words is "one billion, thirty million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5600 6400 8960 11200 11497 12800 17920 22400 22994 44800 45988 57485 80479 89600 91976 114970 160958 183952 229940 287425 321916 367904 402395 459880 574850 643832 735808 804790 919760 1149700 1287664 1471616 1609580 1839520 2011975 2299400 2575328 2943232 3219160 3679040 4023950 4598800 5150656 5886464 6438320 7358080 8047900 9197600 10301312 12876640 14716160 16095800 18395200 20602624 25753280 29432320 32191600 36790400 41205248 51506560 64383200 73580800 103013120 128766400 147161600 206026240 257532800 515065600 1030131200