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120332013013044 = 223272392278787679
BaseRepresentation
bin11011010111000011111010…
…111001000000100000110100
3120210001121221212211121211100
4123113003322321000200310
5111233004430312404134
61103531432540010100
734226462313216210
oct3327037271004064
9523047855747740
10120332013013044
113538357a329a88
12115b5197830930
13521b34c6a2b41
1421a0159b01940
15dda1a2521999
hex6d70fae40834

120332013013044 has 144 divisors (see below), whose sum is σ = 349099617484800. Its totient is φ = 34234830439488.

The previous prime is 120332013013027. The next prime is 120332013013063. The reversal of 120332013013044 is 440310310233021.

It is a happy number.

120332013013044 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 320 + 1 + 30 + 1 + 304 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120332013012999 and 120332013013017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372371597 + ... + 1372459275.

It is an arithmetic number, because the mean of its divisors is an integer number (2424302899200).

Almost surely, 2120332013013044 is an apocalyptic number.

120332013013044 is a gapful number since it is divisible by the number (14) 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 120332013013044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174549808742400).

120332013013044 is an abundant number, since it is smaller than the sum of its proper divisors (228767604471756).

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

120332013013044 is a wasteful number, since it uses less digits than its factorization.

120332013013044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110722 (or 110717 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 120332013013044 its reverse (440310310233021), we get a palindrome (560642323246065).

The spelling of 120332013013044 in words is "one hundred twenty trillion, three hundred thirty-two billion, thirteen million, thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 239 252 478 717 956 1434 1673 2151 2868 3346 4302 5019 6692 8604 10038 15057 20076 22787 30114 45574 60228 68361 87679 91148 136722 159509 175358 205083 263037 273444 319018 350716 410166 478527 526074 613753 638036 789111 820332 957054 1052148 1227506 1435581 1578222 1841259 1914108 2455012 2871162 3156444 3682518 5446093 5523777 5742324 7365036 10892186 11047554 16338279 20955281 21784372 22095108 32676558 38122651 41910562 49014837 62865843 65353116 76245302 83821124 98029674 114367953 125731686 146686967 152490604 188597529 196059348 228735906 251463372 293373934 343103859 377195058 440060901 457471812 586747868 686207718 754390116 880121802 1320182703 1372415436 1760243604 1997941373 2640365406 3995882746 5280730812 5993824119 7991765492 11987648238 13985589611 17981472357 23975296476 27971179222 35962944714 41956768833 55942358444 71925889428 83913537666 125870306499 167827075332 251740612998 477507988147 503481225996 955015976294 1432523964441 1910031952588 2865047928882 3342555917029 4297571893323 5730095857764 6685111834058 8595143786646 10027667751087 13370223668116 17190287573292 20055335502174 30083003253261 40110671004348 60166006506522 120332013013044