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1341211133400 = 233526899324011
BaseRepresentation
bin10011100001000110011…
…010011100010111011000
311202012220022100221102020
4103201012122130113120
5133433300022232100
62504051025134440
7165620314350345
oct23410632342730
94665808327366
101341211133400
114778937a0726
12197b28a8a420
139962506b888
1448cb49437cc
1524d4bde65a0
hex1384669c5d8

1341211133400 has 96 divisors (see below), whose sum is σ = 4158370008000. Its totient is φ = 357603356800.

The previous prime is 1341211133399. The next prime is 1341211133459. The reversal of 1341211133400 is 43311121431.

It is a happy number.

It is a super-2 number, since 2×13412111334002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3977395 + ... + 4301405.

It is an arithmetic number, because the mean of its divisors is an integer number (43316354250).

Almost surely, 21341211133400 is an apocalyptic number.

1341211133400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1341211133400 is an abundant number, since it is smaller than the sum of its proper divisors (2817158874600).

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

1341211133400 is a wasteful number, since it uses less digits than its factorization.

1341211133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330929 (or 330920 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1341211133400 its reverse (43311121431), we get a palindrome (1384522254831).

The spelling of 1341211133400 in words is "one trillion, three hundred forty-one billion, two hundred eleven million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 6899 13798 20697 27596 34495 41394 55192 68990 82788 103485 137980 165576 172475 206970 275960 324011 344950 413940 517425 648022 689900 827880 972033 1034850 1296044 1379800 1620055 1944066 2069700 2592088 3240110 3888132 4139400 4860165 6480220 7776264 8100275 9720330 12960440 16200550 19440660 24300825 32401100 38881320 48601650 64802200 97203300 194406600 2235351889 4470703778 6706055667 8941407556 11176759445 13412111334 17882815112 22353518890 26824222668 33530278335 44707037780 53648445336 55883797225 67060556670 89414075560 111767594450 134121113340 167651391675 223535188900 268242226680 335302783350 447070377800 670605566700 1341211133400