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133000101200 = 24521078533643
BaseRepresentation
bin111101111011101101…
…1000111110101010000
3110201022000011011210002
41323313123013311100
54134341011214300
6141033245425132
712415603131041
oct1736733076520
9421260134702
10133000101200
11514500a960a
122193956b1a8
13c7075c3145
146619ada8c8
1536d64275d5
hex1ef76c7d50

133000101200 has 120 divisors (see below), whose sum is σ = 322985765088. Its totient is φ = 52626608640.

The previous prime is 133000101197. The next prime is 133000101211. The reversal of 133000101200 is 2101000331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36506579 + ... + 36510221.

Almost surely, 2133000101200 is an apocalyptic number.

133000101200 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 133000101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161492882544).

133000101200 is an abundant number, since it is smaller than the sum of its proper divisors (189985663888).

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

133000101200 is a wasteful number, since it uses less digits than its factorization.

133000101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621 (or 4610 counting only the distinct ones).

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

Adding to 133000101200 its reverse (2101000331), we get a palindrome (135101101531).

The spelling of 133000101200 in words is "one hundred thirty-three billion, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 200 214 400 428 535 853 856 1070 1706 1712 2140 2675 3412 3643 4265 4280 5350 6824 7286 8530 8560 10700 13648 14572 17060 18215 21325 21400 29144 34120 36430 42650 42800 58288 68240 72860 85300 91075 91271 145720 170600 182150 182542 291440 341200 364300 365084 389801 456355 728600 730168 779602 912710 1457200 1460336 1559204 1825420 1949005 2281775 3107479 3118408 3650840 3898010 4563550 6214958 6236816 7301680 7796020 9127100 9745025 12429916 15537395 15592040 18254200 19490050 24859832 31074790 31184080 36508400 38980100 49719664 62149580 77686975 77960200 124299160 155373950 155920400 248598320 310747900 332500253 621495800 665000506 1242991600 1330001012 1662501265 2660002024 3325002530 5320004048 6650005060 8312506325 13300010120 16625012650 26600020240 33250025300 66500050600 133000101200