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2300330131220 = 2251126115582781
BaseRepresentation
bin100001011110010110010…
…111000011111100010100
322010220112221222021121102
4201132112113003330110
5300142034003144340
64520431310005232
7325123216333202
oct41362627037424
98126487867542
102300330131220
11807623431600
1231199baa6818
13138bc68b06a4
147d49d7aa072
153ec8464d215
hex217965c3f14

2300330131220 has 72 divisors (see below), whose sum is σ = 5396816055624. Its totient is φ = 822770784000.

The previous prime is 2300330131219. The next prime is 2300330131223. The reversal of 2300330131220 is 221310330032.

2300330131220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 166779124996 + 2133551006224 = 408386^2 + 1460668^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2300330131192 and 2300330131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300330131223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7643771 + ... + 7939010.

Almost surely, 22300330131220 is an apocalyptic number.

2300330131220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300330131220 is an abundant number, since it is smaller than the sum of its proper divisors (3096485924404).

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

2300330131220 is a wasteful number, since it uses less digits than its factorization.

2300330131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15582873 (or 15582860 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2300330131220 its reverse (221310330032), we get a palindrome (2521640461252).

The spelling of 2300330131220 in words is "two trillion, three hundred billion, three hundred thirty million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 121 122 220 242 244 305 484 605 610 671 1210 1220 1342 2420 2684 3355 6710 7381 13420 14762 29524 36905 73810 147620 15582781 31165562 62331124 77913905 155827810 171410591 311655620 342821182 685642364 857052955 950549641 1714105910 1885516501 1901099282 3428211820 3771033002 3802198564 4752748205 7542066004 9427582505 9505496410 10456046051 18855165010 19010992820 20912092102 37710330020 41824184204 52280230255 104560460510 115016506561 209120921020 230033013122 460066026244 575082532805 1150165065610 2300330131220