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1314121050 = 233521188493
BaseRepresentation
bin100111001010011…
…1110010101011010
310101120202021012000
41032110332111122
510142403333200
6334222101430
744364562464
oct11624762532
93346667160
101314121050
11614872660
1230811a876
1317c340528
14c6759134
157a57e300
hex4e53e55a

1314121050 has 96 divisors (see below), whose sum is σ = 3950372160. Its totient is φ = 318571200.

The previous prime is 1314121033. The next prime is 1314121069. The reversal of 1314121050 is 501214131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29397 + ... + 59096.

It is an arithmetic number, because the mean of its divisors is an integer number (41149710).

Almost surely, 21314121050 is an apocalyptic number.

1314121050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1314121050 is an abundant number, since it is smaller than the sum of its proper divisors (2636251110).

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

1314121050 is a wasteful number, since it uses less digits than its factorization.

1314121050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88525 (or 88514 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1314121050 is about 36250.8075772113. The cubic root of 1314121050 is about 1095.3303563185.

Adding to 1314121050 its reverse (501214131), we get a palindrome (1815335181).

It can be divided in two parts, 13141 and 21050, that added together give a triangular number (34191 = T261).

The spelling of 1314121050 in words is "one billion, three hundred fourteen million, one hundred twenty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 135 150 165 198 225 270 275 297 330 450 495 550 594 675 825 990 1350 1485 1650 2475 2970 4950 7425 14850 88493 176986 265479 442465 530958 796437 884930 973423 1327395 1592874 1946846 2212325 2389311 2654790 2920269 3982185 4424650 4778622 4867115 5840538 6636975 7964370 8760807 9734230 11946555 13273950 14601345 17521614 19910925 23893110 24335575 26282421 29202690 39821850 43804035 48671150 52564842 59732775 73006725 87608070 119465550 131412105 146013450 219020175 262824210 438040350 657060525 1314121050