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2330101013312 = 26414357203809
BaseRepresentation
bin100001111010000100110…
…101111101101101000000
322020202101202010210022002
4201322010311331231000
5301134021324411222
64542233355203132
7330226034551622
oct41720465755500
98222352123262
102330101013312
11819210304996
1231770a1464a8
1313b95c664b57
1480ac5612c12
15409280ba392
hex21e84d7db40

2330101013312 has 56 divisors (see below), whose sum is σ = 4737680029320. Its totient is φ = 1136368189440.

The previous prime is 2330101013311. The next prime is 2330101013351. The reversal of 2330101013312 is 2133101010332.

It can be written as a sum of positive squares in 4 ways, for example, as 61293875776 + 2268807137536 = 247576^2 + 1506256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330101013311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11330864 + ... + 11534672.

It is an arithmetic number, because the mean of its divisors is an integer number (84601429095).

Almost surely, 22330101013312 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 2330101013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368840014660).

2330101013312 is an abundant number, since it is smaller than the sum of its proper divisors (2407579016008).

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

2330101013312 is a wasteful number, since it uses less digits than its factorization.

2330101013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208219 (or 208209 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2330101013312 its reverse (2133101010332), we get a palindrome (4463202023644).

The spelling of 2330101013312 in words is "two trillion, three hundred thirty billion, one hundred one million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 4357 8714 17428 34856 69712 139424 178637 203809 278848 357274 407618 714548 815236 1429096 1630472 2858192 3260944 5716384 6521888 8356169 11432768 13043776 16712338 33424676 66849352 133698704 267397408 534794816 887995813 1775991626 3551983252 7103966504 14207933008 28415866016 36407828333 56831732032 72815656666 145631313332 291262626664 582525253328 1165050506656 2330101013312