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2312103331332 = 22361367580031
BaseRepresentation
bin100001101001010100000…
…110010000011000000100
322012000221110022211000000
4201221110012100120010
5300340141423100312
64530055434321300
7326021035022604
oct41512406203004
98160843284000
102312103331332
11811615066053
12314126889230
1313a051a666a2
147dc9922ac04
154022301dadc
hex21a54190604

2312103331332 has 84 divisors (see below), whose sum is σ = 6070944370176. Its totient is φ = 770135992560.

The previous prime is 2312103331313. The next prime is 2312103331337. The reversal of 2312103331332 is 2331333012132.

2312103331332 is a `hidden beast` number, since 2 + 312 + 1 + 0 + 3 + 3 + 313 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2312103331296 and 2312103331305.

It is not an unprimeable number, because it can be changed into a prime (2312103331337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3696157 + ... + 4276187.

It is an arithmetic number, because the mean of its divisors is an integer number (72273147264).

Almost surely, 22312103331332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312103331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035472185088).

2312103331332 is an abundant number, since it is smaller than the sum of its proper divisors (3758841038844).

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

2312103331332 is a wasteful number, since it uses less digits than its factorization.

2312103331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581420 (or 581403 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2312103331332 its reverse (2331333012132), we get a palindrome (4643436343464).

The spelling of 2312103331332 in words is "two trillion, three hundred twelve billion, one hundred three million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1367 1458 2734 2916 4101 5468 8202 12303 16404 24606 36909 49212 73818 110727 147636 221454 332181 442908 580031 664362 996543 1160062 1328724 1740093 1993086 2320124 3480186 3986172 5220279 6960372 10440558 15660837 20881116 31321674 46982511 62643348 93965022 140947533 187930044 281895066 422842599 563790132 792902377 845685198 1585804754 1691370396 2378707131 3171609508 4757414262 7136121393 9514828524 14272242786 21408364179 28544485572 42816728358 64225092537 85633456716 128450185074 192675277611 256900370148 385350555222 578025832833 770701110444 1156051665666 2312103331332