Search a number
-
+
1201031033112 = 233331414374767
BaseRepresentation
bin10001011110100011000…
…001110011000100011000
311020211001220210000112000
4101132203001303010120
5124134202421024422
62315425051121000
7152525445224331
oct21364301630430
94224056700460
101201031033112
11423399786579
12174926a43160
138934509c181
14421b7433288
152139549bcac
hex117a3073118

1201031033112 has 128 divisors (see below), whose sum is σ = 3527812915200. Its totient is φ = 377979782400.

The previous prime is 1201031033107. The next prime is 1201031033123. The reversal of 1201031033112 is 2113301301021.

1201031033112 is a `hidden beast` number, since 1 + 2 + 0 + 10 + 310 + 331 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1912848 + ... + 2461919.

It is an arithmetic number, because the mean of its divisors is an integer number (27561038400).

Almost surely, 21201031033112 is an apocalyptic number.

1201031033112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1201031033112 is an abundant number, since it is smaller than the sum of its proper divisors (2326781882088).

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

1201031033112 is a wasteful number, since it uses less digits than its factorization.

1201031033112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374854 (or 4374844 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1201031033112 its reverse (2113301301021), we get a palindrome (3314332334133).

The spelling of 1201031033112 in words is "one trillion, two hundred one billion, thirty-one million, thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 41 54 62 72 82 93 108 123 124 164 186 216 246 248 279 328 369 372 492 558 738 744 837 984 1107 1116 1271 1476 1674 2214 2232 2542 2952 3348 3813 4428 5084 6696 7626 8856 10168 11439 15252 22878 30504 34317 45756 68634 91512 137268 274536 4374767 8749534 13124301 17499068 26248602 34998136 39372903 52497204 78745806 104994408 118118709 135617777 157491612 179365447 236237418 271235554 314983224 358730894 406853331 472474836 538096341 542471108 717461788 813706662 944949672 1076192682 1084942216 1220559993 1434923576 1614289023 1627413324 2152385364 2441119986 3228578046 3254826648 3661679979 4304770728 4842867069 4882239972 5560328857 6457156092 7323359958 9685734138 9764479944 11120657714 12914312184 14646719916 16680986571 19371468276 22241315428 29293439832 33361973142 38742936552 44482630856 50042959713 66723946284 100085919426 133447892568 150128879139 200171838852 300257758278 400343677704 600515516556 1201031033112