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1332323111020 = 22511107233242911
BaseRepresentation
bin10011011000110100101…
…001010101000001101100
311201100221212222121211011
4103120310221111001230
5133312044204023040
62500021044035004
7165154131405556
oct23306451250154
94640855877734
101332323111020
11474042731990
12196268392a64
1398839866b35
14486b035a4d6
15249cb9883ea
hex13634a5506c

1332323111020 has 96 divisors (see below), whose sum is σ = 3093991520256. Its totient is φ = 477891417600.

The previous prime is 1332323110991. The next prime is 1332323111023. The reversal of 1332323111020 is 201113232331.

It is a super-2 number, since 2×13323231110202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1332323110982 and 1332323111000.

It is not an unprimeable number, because it can be changed into a prime (1332323111023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5363365 + ... + 5606275.

It is an arithmetic number, because the mean of its divisors is an integer number (32229078336).

Almost surely, 21332323111020 is an apocalyptic number.

1332323111020 is a gapful number since it is divisible by the number (10) 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 1332323111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546995760128).

1332323111020 is an abundant number, since it is smaller than the sum of its proper divisors (1761668409236).

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

1332323111020 is a wasteful number, since it uses less digits than its factorization.

1332323111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243271 (or 243269 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1332323111020 its reverse (201113232331), we get a palindrome (1533436343351).

The spelling of 1332323111020 in words is "one trillion, three hundred thirty-two billion, three hundred twenty-three million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 233 428 466 535 932 1070 1165 1177 2140 2330 2354 2563 4660 4708 5126 5885 10252 11770 12815 23540 24931 25630 49862 51260 99724 124655 242911 249310 274241 485822 498620 548482 971644 1096964 1214555 1371205 2429110 2672021 2742410 4858220 5344042 5484820 10688084 13360105 25991477 26720210 51982954 53440420 56598263 103965908 113196526 129957385 226393052 259914770 282991315 285906247 519829540 565982630 571812494 622580893 1131965260 1143624988 1245161786 1429531235 2490323572 2859062470 3112904465 5718124940 6056014141 6225808930 12112028282 12451617860 24224056564 30280070705 60560141410 66616155551 121120282820 133232311102 266464622204 333080777755 666161555510 1332323111020