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1330421201300 = 2252798319310513
BaseRepresentation
bin10011010111000011010…
…010000111100110010100
311201012001100012121011102
4103113003102013212110
5133244200311420200
62455104223325232
7165056035423352
oct23270322074624
94635040177142
101330421201300
114732570a1a74
12195a17450818
13985c5814c79
144856d9167d2
15249199ee6d5
hex135c3487994

1330421201300 has 144 divisors (see below), whose sum is σ = 2974395459840. Its totient is φ = 516362895360.

The previous prime is 1330421201293. The next prime is 1330421201303. The reversal of 1330421201300 is 31021240331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330421201303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 126544844 + ... + 126555356.

Almost surely, 21330421201300 is an apocalyptic number.

1330421201300 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 1330421201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487197729920).

1330421201300 is an abundant number, since it is smaller than the sum of its proper divisors (1643974258540).

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

1330421201300 is a wasteful number, since it uses less digits than its factorization.

1330421201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10882 (or 10875 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1330421201300 its reverse (31021240331), we get a palindrome (1361442441631).

The spelling of 1330421201300 in words is "one trillion, three hundred thirty billion, four hundred twenty-one million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 79 83 100 158 166 193 316 332 386 395 415 772 790 830 965 1580 1660 1930 1975 2075 3860 3950 4150 4825 6557 7900 8300 9650 10513 13114 15247 16019 19300 21026 26228 30494 32038 32785 42052 52565 60988 64076 65570 76235 80095 105130 131140 152470 160190 163925 210260 262825 304940 320380 327850 381175 400475 525650 655700 762350 800950 830527 872579 1051300 1265501 1524700 1601900 1661054 1745158 2029009 2531002 3322108 3490316 4058018 4152635 4362895 5062004 6327505 8116036 8305270 8725790 10145045 12655010 16610540 17451580 20290090 20763175 21814475 25310020 31637525 40580180 41526350 43628950 50725225 63275050 68933741 83052700 87257900 101450450 126550100 137867482 160291711 168407747 202900900 275734964 320583422 336815494 344668705 641166844 673630988 689337410 801458555 842038735 1378674820 1602917110 1684077470 1723343525 3205834220 3368154940 3446687050 4007292775 4210193675 6893374100 8014585550 8420387350 13304212013 16029171100 16840774700 26608424026 53216848052 66521060065 133042120130 266084240260 332605300325 665210600650 1330421201300