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1300313132000 = 25532341138863
BaseRepresentation
bin10010111011000000101…
…100111100101111100000
311121022100001120012120122
4102323000230330233200
5132301020130211000
62433204451055412
7162641654153561
oct22730054745740
94538301505518
101300313132000
11461506955973
121900142a1568
1395807c4254c
1446d14dba168
1523c5667a085
hex12ec0b3cbe0

1300313132000 has 96 divisors (see below), whose sum is σ = 3196257128064. Its totient is φ = 519899328000.

The previous prime is 1300313131973. The next prime is 1300313132009. The reversal of 1300313132000 is 2313130031.

It is a self number, because there is not a number n which added to its sum of digits gives 1300313132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300313132009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9294569 + ... + 9433431.

It is an arithmetic number, because the mean of its divisors is an integer number (33294345084).

Almost surely, 21300313132000 is an apocalyptic number.

1300313132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300313132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598128564032).

1300313132000 is an abundant number, since it is smaller than the sum of its proper divisors (1895943996064).

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

1300313132000 is a wasteful number, since it uses less digits than its factorization.

1300313132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141229 (or 141211 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1300313132000 its reverse (2313130031), we get a palindrome (1302626262031).

The spelling of 1300313132000 in words is "one trillion, three hundred billion, three hundred thirteen million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2341 4000 4682 9364 11705 18728 23410 37456 46820 58525 74912 93640 117050 138863 187280 234100 277726 292625 374560 468200 555452 585250 694315 936400 1110904 1170500 1388630 1872800 2221808 2341000 2777260 3471575 4443616 4682000 5554520 6943150 9364000 11109040 13886300 17357875 22218080 27772600 34715750 55545200 69431500 111090400 138863000 277726000 325078283 555452000 650156566 1300313132 1625391415 2600626264 3250782830 5201252528 6501565660 8126957075 10402505056 13003131320 16253914150 26006262640 32507828300 40634785375 52012525280 65015656600 81269570750 130031313200 162539141500 260062626400 325078283000 650156566000 1300313132000