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1300001201320 = 235138123533693
BaseRepresentation
bin10010111010101110000…
…111000001110010101000
311121021112022121111010111
4102322232013001302220
5132244400301420240
62433113505224104
7162631145613643
oct22725607016250
94537468544114
101300001201320
11461366872818
1218bb47932034
1395788428193
1446cc57bca5a
1523c390b11ea
hex12eae1c1ca8

1300001201320 has 32 divisors (see below), whose sum is σ = 2927120859720. Its totient is φ = 519623919360.

The previous prime is 1300001201243. The next prime is 1300001201371. The reversal of 1300001201320 is 231021000031.

It can be written as a sum of positive squares in 4 ways, for example, as 1263911080644 + 36090120676 = 1124238^2 + 189974^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1300001201320.

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 7 ways as a sum of consecutive naturals, for example, 11711607 + ... + 11822086.

Almost surely, 21300001201320 is an apocalyptic number.

1300001201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300001201320 is an abundant number, since it is smaller than the sum of its proper divisors (1627119658400).

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

1300001201320 is a wasteful number, since it uses less digits than its factorization.

1300001201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23535085 (or 23535081 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1300001201320 its reverse (231021000031), we get a palindrome (1531022201351).

The spelling of 1300001201320 in words is "one trillion, three hundred billion, one million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1381 2762 5524 6905 11048 13810 27620 55240 23533693 47067386 94134772 117668465 188269544 235336930 470673860 941347720 32500030033 65000060066 130000120132 162500150165 260000240264 325000300330 650000600660 1300001201320