Search a number
-
+
1133210123000 = 235317155342923
BaseRepresentation
bin10000011111011000100…
…101100011101011111000
311000100000100202211000022
4100133120211203223320
5122031303242414000
62224331201430012
7144605001054404
oct20373045435370
94010010684008
101133210123000
113a7656631a3a
1216375993b308
1382b27244727
143cbc1db4104
151e726327585
hex107d8963af8

1133210123000 has 128 divisors (see below), whose sum is σ = 2809568099520. Its totient is φ = 426335641600.

The previous prime is 1133210122943. The next prime is 1133210123041. The reversal of 1133210123000 is 3210123311.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1133210123000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26379539 + ... + 26422461.

Almost surely, 21133210123000 is an apocalyptic number.

1133210123000 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 1133210123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404784049760).

1133210123000 is an abundant number, since it is smaller than the sum of its proper divisors (1676357976520).

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

1133210123000 is a wasteful number, since it uses less digits than its factorization.

1133210123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44514 (or 44500 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1133210123000 its reverse (3210123311), we get a palindrome (1136420246311).

The spelling of 1133210123000 in words is "one trillion, one hundred thirty-three billion, two hundred ten million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1553 1700 2125 3106 3400 4250 6212 7765 8500 12424 15530 17000 26401 31060 38825 42923 52802 62120 77650 85846 105604 132005 155300 171692 194125 211208 214615 264010 310600 343384 388250 429230 528020 660025 729691 776500 858460 1056040 1073075 1320050 1459382 1553000 1716920 2146150 2640100 2918764 3300125 3648455 4292300 5280200 5365375 5837528 6600250 7296910 8584600 10730750 13200500 14593820 18242275 21461500 26401000 29187640 36484550 42923000 66659419 72969100 91211375 133318838 145938200 182422750 266637676 333297095 364845500 533275352 666594190 729691000 1133210123 1333188380 1666485475 2266420246 2666376760 3332970950 4532840492 5666050615 6665941900 8332427375 9065680984 11332101230 13331883800 16664854750 22664202460 28330253075 33329709500 45328404920 56660506150 66659419000 113321012300 141651265375 226642024600 283302530750 566605061500 1133210123000