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1233012020331 = 372131723172019
BaseRepresentation
bin10001111100010101001…
…111100101010001101011
311100212121201122111111010
4101330111033211101223
5130200202034122311
62342234330435003
7155040121150200
oct21742517452153
94325551574433
101233012020331
11435a10160623
1217ab71292a63
138c3709b2650
144396c9c7ca7
1522117e7eda6
hex11f153e546b

1233012020331 has 144 divisors (see below), whose sum is σ = 2258418140160. Its totient is φ = 592368215040.

The previous prime is 1233012020309. The next prime is 1233012020353. The reversal of 1233012020331 is 1330202103321.

It is an interprime number because it is at equal distance from previous prime (1233012020309) and next prime (1233012020353).

It is not a de Polignac number, because 1233012020331 - 210 = 1233012019307 is a prime.

It is a super-2 number, since 2×12330120203312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1233012020298 and 1233012020307.

It is not an unprimeable number, because it can be changed into a prime (1233012020381) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17084640 + ... + 17156658.

Almost surely, 21233012020331 is an apocalyptic number.

1233012020331 is a deficient number, since it is larger than the sum of its proper divisors (1025406119829).

1233012020331 is a wasteful number, since it uses less digits than its factorization.

1233012020331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72114 (or 72090 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1233012020331 its reverse (1330202103321), we get a palindrome (2563214123652).

The spelling of 1233012020331 in words is "one trillion, two hundred thirty-three billion, twelve million, twenty thousand, three hundred thirty-one".

Divisors: 1 3 7 13 17 21 31 39 49 51 91 93 119 147 217 221 273 289 357 403 527 637 651 663 833 867 1209 1519 1547 1581 1911 2023 2499 2821 3689 3757 4557 4641 6069 6851 8463 8959 10829 11067 11271 14161 19747 20553 25823 26299 26877 32487 42483 47957 59241 62713 72019 77469 78897 116467 143871 184093 188139 216057 335699 349401 438991 504133 552279 815269 936247 1007097 1224323 1316973 1512399 2232589 2445807 2808741 3528931 3672969 5706883 6553729 6697767 8570261 10586793 15628123 15916199 17120649 19661187 20813491 25710783 29023657 37954013 45876103 46884369 47748597 59991827 62440473 87070971 109396861 111413393 113862039 137628309 145694437 179975481 203165599 265678091 270575383 328190583 334240179 437083311 493402169 609496797 645218221 779893751 797034273 811726149 1019861059 1422159193 1480206507 1859746637 1894027681 1935654663 2339681253 3059583177 3453815183 4266477579 4516527547 5579239911 5682083043 8387836873 10361445549 13258193767 13549582641 24176706281 25163510619 31615692829 39774581301 58714858111 72530118843 94847078487 176144574333 411004006777 1233012020331