Search a number
-
+
1201133202030 = 233561679110739
BaseRepresentation
bin10001011110101001000…
…111100010101001101110
311020211100001000201221000
4101132221013202221232
5124134410044431110
62315443141021130
7152531125522026
oct21365107425156
94224301021830
101201133202030
114234414195a3
121749550b47a6
13893602c1c58
14421c6c2aa86
152139e42e1c0
hex117a91e2a6e

1201133202030 has 128 divisors (see below), whose sum is σ = 3256313011200. Its totient is φ = 314975606400.

The previous prime is 1201133202023. The next prime is 1201133202103. The reversal of 1201133202030 is 302023311021.

1201133202030 is a `hidden beast` number, since 120 + 11 + 332 + 0 + 203 + 0 = 666.

It is a super-2 number, since 2×12011332020302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1201133201994 and 1201133202012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111842401 + ... + 111853139.

It is an arithmetic number, because the mean of its divisors is an integer number (25439945400).

Almost surely, 21201133202030 is an apocalyptic number.

1201133202030 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 1201133202030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628156505600).

1201133202030 is an abundant number, since it is smaller than the sum of its proper divisors (2055179809170).

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

1201133202030 is a wasteful number, since it uses less digits than its factorization.

1201133202030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17607 (or 17601 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1201133202030 its reverse (302023311021), we get a palindrome (1503156513051).

The spelling of 1201133202030 in words is "one trillion, two hundred one billion, one hundred thirty-three million, two hundred two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1647 1830 2745 3294 5490 6791 8235 10739 13582 16470 20373 21478 32217 33955 40746 53695 61119 64434 67910 96651 101865 107390 122238 161085 183357 193302 203730 289953 305595 322170 366714 414251 483255 579906 611190 655079 828502 916785 966510 1242753 1310158 1449765 1833570 1965237 2071255 2485506 2899530 3275395 3728259 3930474 4142510 5895711 6213765 6550790 7456518 9826185 11184777 11791422 12427530 17687133 18641295 19652370 22369554 29478555 35374266 37282590 55923885 58957110 72928549 88435665 111847770 145857098 176871330 218785647 364642745 437571294 656356941 729285490 1093928235 1312713882 1969070823 2187856470 3281784705 3938141646 4448641489 6563569410 8897282978 9845354115 13345924467 19690708230 22243207445 26691848934 40037773401 44486414890 66729622335 80075546802 120113320203 133459244670 200188867005 240226640406 400377734010 600566601015 1201133202030