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123133202330112 = 2932132055508853
BaseRepresentation
bin11011111111110100101110…
…110010001111001000000000
3121010222102022120201210002100
4123333310232302033020000
5112114403244244030422
61113514340124350400
734636036353442062
oct3377645662171000
9533872276653070
10123133202330112
1136263552704027
12119880583a5400
135392546407690
142259970865732
15e37e9ce1b7ac
hex6ffd2ec8f200

123133202330112 has 120 divisors (see below), whose sum is σ = 382706971490844. Its totient is φ = 37887139160064.

The previous prime is 123133202330087. The next prime is 123133202330153. The reversal of 123133202330112 is 211033202331321.

123133202330112 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 3 + 320 + 2 + 330 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107946780385536 + 15186421944576 = 10389744^2 + 3896976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1027694523 + ... + 1027814330.

Almost surely, 2123133202330112 is an apocalyptic number.

123133202330112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123133202330112 is an abundant number, since it is smaller than the sum of its proper divisors (259573769160732).

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

123133202330112 is a wasteful number, since it uses less digits than its factorization.

123133202330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055508890 (or 2055508871 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123133202330112 its reverse (211033202331321), we get a palindrome (334166404661433).

The spelling of 123133202330112 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, two hundred two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 2055508853 4111017706 6166526559 8222035412 12333053118 16444070824 18499579677 24666106236 26721615089 32888141648 36999159354 49332212472 53443230178 65776283296 73998318708 80164845267 98664424944 106886460356 131552566592 147996637416 160329690534 197328849888 213772920712 240494535801 263105133184 295993274832 320659381068 394657699776 427545841424 480989071602 526210266368 591986549664 641318762136 789315399552 855091682848 961978143204 1052420532736 1183973099328 1282637524272 1578630799104 1710183365696 1923956286408 2367946198656 2565275048544 3157261598208 3420366731392 3847912572816 4735892397312 5130550097088 6840733462784 7695825145632 9471784794624 10261100194176 13681466925568 15391650291264 20522200388352 30783300582528 41044400776704 61566601165056 123133202330112