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2321230311232 = 26724657158941
BaseRepresentation
bin100001110001110100000…
…110111010111101000000
322012220111112100102200121
4201301310012322331000
5301012334424424412
64534205233230024
7326463152045500
oct41616406727500
98186445312617
102321230311232
11815478aa6148
12315a53402314
1313ab77915901
14804c3457a00
15405a942e107
hex21c741baf40

2321230311232 has 84 divisors (see below), whose sum is σ = 5359406940804. Its totient is φ = 994593116160.

The previous prime is 2321230311227. The next prime is 2321230311241. The reversal of 2321230311232 is 2321130321232.

It can be written as a sum of positive squares in 2 ways, for example, as 1256156774656 + 1065073536576 = 1120784^2 + 1032024^2 .

It is a super-2 number, since 2×23212303112322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2321230311197 and 2321230311206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14524882 + ... + 14683822.

It is an arithmetic number, because the mean of its divisors is an integer number (63802463581).

Almost surely, 22321230311232 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 2321230311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679703470402).

2321230311232 is an abundant number, since it is smaller than the sum of its proper divisors (3038176629572).

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

2321230311232 is a wasteful number, since it uses less digits than its factorization.

2321230311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163624 (or 163607 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2321230311232 its reverse (2321130321232), we get a palindrome (4642360632464).

The spelling of 2321230311232 in words is "two trillion, three hundred twenty-one billion, two hundred thirty million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 4657 9314 18628 32599 37256 65198 74512 130396 149024 158941 228193 260792 298048 317882 456386 521584 635764 912772 1043168 1112587 1271528 1825544 2086336 2225174 2543056 3651088 4450348 5086112 7302176 7788109 8900696 10172224 14604352 15576218 17801392 31152436 35602784 62304872 71205568 124609744 249219488 498438976 740188237 1480376474 2960752948 5181317659 5921505896 10362635318 11843011792 20725270636 23686023584 36269223613 41450541272 47372047168 72538447226 82901082544 145076894452 165802165088 290153788904 331604330176 580307577808 1160615155616 2321230311232