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1321158414200 = 235231321104767
BaseRepresentation
bin10011001110011011001…
…011011000111101111000
311200022010210122021000112
4103032123023120331320
5133121213023223300
62450533133523452
7164310352142222
oct23163313307570
94608123567015
101321158414200
1146a333533a19
12194071343588
139777a795c61
1447d31657412
1524576714e35
hex1339b2d8f78

1321158414200 has 48 divisors (see below), whose sum is σ = 3081507175680. Its totient is φ = 526774959360.

The previous prime is 1321158414181. The next prime is 1321158414211. The reversal of 1321158414200 is 24148511231.

It is a super-2 number, since 2×13211584142002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10489784 + ... + 10614983.

It is an arithmetic number, because the mean of its divisors is an integer number (64198066160).

Almost surely, 21321158414200 is an apocalyptic number.

1321158414200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321158414200 is an abundant number, since it is smaller than the sum of its proper divisors (1760348761480).

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

1321158414200 is a wasteful number, since it uses less digits than its factorization.

1321158414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21105096 (or 21105087 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 1321158414200 in words is "one trillion, three hundred twenty-one billion, one hundred fifty-eight million, four hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 313 626 1252 1565 2504 3130 6260 7825 12520 15650 31300 62600 21104767 42209534 84419068 105523835 168838136 211047670 422095340 527619175 844190680 1055238350 2110476700 4220953400 6605792071 13211584142 26423168284 33028960355 52846336568 66057920710 132115841420 165144801775 264231682840 330289603550 660579207100 1321158414200