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1341221200 = 245211319833
BaseRepresentation
bin100111111110001…
…0110100101010000
310110110202002121021
41033330112211100
510221323034300
6341031005224
745144122614
oct11774264520
93413662537
101341221200
116290a2380
12315209814
13184b3b617
14ca1b1344
157cb33d1a
hex4ff16950

1341221200 has 120 divisors (see below), whose sum is σ = 3628982016. Its totient is φ = 471936000.

The previous prime is 1341221173. The next prime is 1341221201. The reversal of 1341221200 is 21221431.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341221201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131484 + ... + 141316.

Almost surely, 21341221200 is an apocalyptic number.

1341221200 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 1341221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814491008).

1341221200 is an abundant number, since it is smaller than the sum of its proper divisors (2287760816).

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

1341221200 is a wasteful number, since it uses less digits than its factorization.

1341221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9893 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1341221200 is about 36622.6869576769. The cubic root of 1341221200 is about 1102.8085804507.

Adding to 1341221200 its reverse (21221431), we get a palindrome (1362442631).

The spelling of 1341221200 in words is "one billion, three hundred forty-one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 155 176 200 220 248 275 310 341 400 440 496 550 620 682 775 880 1100 1240 1364 1550 1705 2200 2480 2728 3100 3410 4400 5456 6200 6820 8525 9833 12400 13640 17050 19666 27280 34100 39332 49165 68200 78664 98330 108163 136400 157328 196660 216326 245825 304823 393320 432652 491650 540815 609646 786640 865304 983300 1081630 1219292 1524115 1730608 1966600 2163260 2438584 2704075 3048230 3353053 3933200 4326520 4877168 5408150 6096460 6706106 7620575 8653040 10816300 12192920 13412212 15241150 16765265 21632600 24385840 26824424 30482300 33530530 43265200 53648848 60964600 67061060 83826325 121929200 134122120 167652650 268244240 335305300 670610600 1341221200