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133110230112 = 25321771937813
BaseRepresentation
bin111101111110111111…
…1001110110001100000
3110201120200101022020200
41323331333032301200
54140102204330422
6141052222105200
712421411200426
oct1737577166140
9421520338220
10133110230112
11514a7289042
122196a41b200
13c724372092
14662a5a7116
1536e0e2d2ac
hex1efdfcec60

133110230112 has 144 divisors (see below), whose sum is σ = 401366871360. Its totient is φ = 41700888576.

The previous prime is 133110230069. The next prime is 133110230117. The reversal of 133110230112 is 211032011331.

133110230112 is a `hidden beast` number, since 13 + 311 + 0 + 230 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×1331102301124 (a number of 46 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133110230117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3501318 + ... + 3539130.

It is an arithmetic number, because the mean of its divisors is an integer number (2787269940).

Almost surely, 2133110230112 is an apocalyptic number.

133110230112 is a gapful number since it is divisible by the number (12) 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 133110230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200683435680).

133110230112 is an abundant number, since it is smaller than the sum of its proper divisors (268256641248).

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

133110230112 is a wasteful number, since it uses less digits than its factorization.

133110230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38565 (or 38554 counting only the distinct ones).

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

Adding to 133110230112 its reverse (211032011331), we get a palindrome (344142241443).

The spelling of 133110230112 in words is "one hundred thirty-three billion, one hundred ten million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 719 816 1224 1438 1632 2157 2448 2876 4314 4896 5752 6471 8628 11504 12223 12942 17256 23008 24446 25884 34512 36669 37813 48892 51768 69024 73338 75626 97784 103536 110007 113439 146676 151252 195568 207072 220014 226878 293352 302504 340317 391136 440028 453756 586704 605008 642821 680634 880056 907512 1173408 1210016 1285642 1361268 1760112 1815024 1928463 2571284 2722536 3520224 3630048 3856926 5142568 5445072 5785389 7713852 10285136 10890144 11570778 15427704 20570272 23141556 27187547 30855408 46283112 54375094 61710816 81562641 92566224 108750188 163125282 185132448 217500376 244687923 326250564 435000752 462188299 489375846 652501128 870001504 924376598 978751692 1305002256 1386564897 1848753196 1957503384 2610004512 2773129794 3697506392 3915006768 4159694691 5546259588 7395012784 7830013536 8319389382 11092519176 14790025568 16638778764 22185038352 33277557528 44370076704 66555115056 133110230112