Search a number
-
+
1200343404330 = 2325721733157061
BaseRepresentation
bin10001011101111010000…
…010101100111100101010
311020202021222212212011100
4101131322002230330222
5124131300402414310
62315232524542230
7152502425406600
oct21357202547452
94222258785140
101200343404330
11423076616924
121747746b1976
13892657a1a35
144214dd99870
1521354e1eec0
hex1177a0acf2a

1200343404330 has 144 divisors (see below), whose sum is σ = 3632544385704. Its totient is φ = 274204143360.

The previous prime is 1200343404269. The next prime is 1200343404371. The reversal of 1200343404330 is 334043430021.

It can be written as a sum of positive squares in 4 ways, for example, as 1068066441729 + 132276962601 = 1033473^2 + 363699^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1200343404294 and 1200343404303.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7564000 + ... + 7721060.

Almost surely, 21200343404330 is an apocalyptic number.

1200343404330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200343404330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816272192852).

1200343404330 is an abundant number, since it is smaller than the sum of its proper divisors (2432200981374).

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

1200343404330 is a wasteful number, since it uses less digits than its factorization.

1200343404330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158821 (or 158811 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1200343404330 its reverse (334043430021), we get a palindrome (1534386834351).

The spelling of 1200343404330 in words is "one trillion, two hundred billion, three hundred forty-three million, four hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 1733 2205 3466 4410 5199 8665 10398 12131 15597 17330 24262 25995 31194 36393 51990 60655 72786 77985 84917 109179 121310 155970 157061 169834 181965 218358 254751 314122 363930 424585 471183 509502 545895 764253 785305 849170 942366 1091790 1099427 1273755 1413549 1528506 1570610 2198854 2355915 2547510 2827098 3298281 3821265 4711830 5497135 6596562 7067745 7642530 7695989 9894843 10994270 14135490 15391978 16491405 19789686 23087967 32982810 38479945 46175934 49474215 69263901 76959890 98948430 115439835 138527802 230879670 272186713 346319505 544373426 692639010 816560139 1360933565 1633120278 1905306991 2449680417 2721867130 3810613982 4082800695 4899360834 5715920973 8165601390 9526534955 11431841946 12248402085 13337148937 17147762919 19053069910 24496804170 26674297874 28579604865 34295525838 40011446811 57159209730 66685744685 80022893622 85738814595 120034340433 133371489370 171477629190 200057234055 240068680866 400114468110 600171702165 1200343404330