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1312002312330 = 2355361310191321
BaseRepresentation
bin10011000101111001011…
…011101000100010001010
311122102111200211002111110
4103011321123220202022
5132443440042443310
62442420414511150
7163534432435533
oct23057133504212
94572450732443
101312002312330
11466465113086
12192336b054b6
139694b88b5b8
144770360968a
15241dc9a0d20
hex131796e888a

1312002312330 has 128 divisors (see below), whose sum is σ = 3219039118080. Its totient is φ = 342110545920.

The previous prime is 1312002312329. The next prime is 1312002312373. The reversal of 1312002312330 is 332132002131.

It is a junction number, because it is equal to n+sod(n) for n = 1312002312297 and 1312002312306.

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 63 ways as a sum of consecutive naturals, for example, 993188070 + ... + 993189390.

It is an arithmetic number, because the mean of its divisors is an integer number (25148743110).

Almost surely, 21312002312330 is an apocalyptic number.

1312002312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312002312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609519559040).

1312002312330 is an abundant number, since it is smaller than the sum of its proper divisors (1907036805750).

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

1312002312330 is a wasteful number, since it uses less digits than its factorization.

1312002312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1312002312330 its reverse (332132002131), we get a palindrome (1644134314461).

The spelling of 1312002312330 in words is "one trillion, three hundred twelve billion, two million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 613 795 1019 1226 1321 1590 1839 2038 2642 3057 3065 3678 3963 5095 6114 6130 6605 7926 9195 10190 13210 15285 18390 19815 30570 32489 39630 54007 64978 70013 97467 108014 140026 162021 162445 194934 210039 270035 324042 324890 350065 420078 487335 540070 624647 700130 809773 810105 974670 1050195 1249294 1346099 1619546 1620210 1873941 2100390 2429319 2692198 3123235 3747882 4038297 4048865 4858638 6246470 6730495 8076594 8097730 9369705 12146595 13460990 18739410 20191485 24293190 33106291 40382970 42917969 66212582 71343247 85835938 99318873 128753907 142686494 165531455 198637746 214029741 214589845 257507814 331062910 356716235 428059482 429179690 496594365 643769535 713432470 825158687 993188730 1070148705 1287539070 1650317374 2140297410 2475476061 4125793435 4950952122 8251586870 12377380305 24754760610 43733410411 87466820822 131200231233 218667052055 262400462466 437334104110 656001156165 1312002312330