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1201101200 = 245213317451
BaseRepresentation
bin100011110010111…
…0101100110010000
310002201002021002122
41013211311212100
54424440214300
6315103433412
741523122525
oct10745654620
93081067078
101201101200
11566a99122
122962b5868
13161abb790
14b573914c
15706a6c85
hex47975990

1201101200 has 120 divisors (see below), whose sum is σ = 3208294656. Its totient is φ = 429120000.

The previous prime is 1201101199. The next prime is 1201101229. The reversal of 1201101200 is 21011021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157475 + ... + 164925.

Almost surely, 21201101200 is an apocalyptic number.

1201101200 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 1201101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604147328).

1201101200 is an abundant number, since it is smaller than the sum of its proper divisors (2007193456).

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

1201101200 is a wasteful number, since it uses less digits than its factorization.

1201101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1201101200 is about 34656.9069595081. The cubic root of 1201101200 is about 1062.9835252514.

Adding to 1201101200 its reverse (21011021), we get a palindrome (1222112221).

The spelling of 1201101200 in words is "one billion, two hundred one million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 31 40 50 52 62 65 80 100 104 124 130 155 200 208 248 260 310 325 400 403 496 520 620 650 775 806 1040 1240 1300 1550 1612 2015 2480 2600 3100 3224 4030 5200 6200 6448 7451 8060 10075 12400 14902 16120 20150 29804 32240 37255 40300 59608 74510 80600 96863 119216 149020 161200 186275 193726 230981 298040 372550 387452 461962 484315 596080 745100 774904 923924 968630 1154905 1490200 1549808 1847848 1937260 2309810 2421575 2980400 3002753 3695696 3874520 4619620 4843150 5774525 6005506 7749040 9239240 9686300 11549050 12011012 15013765 18478480 19372600 23098100 24022024 30027530 38745200 46196200 48044048 60055060 75068825 92392400 120110120 150137650 240220240 300275300 600550600 1201101200