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1314121020 = 223527897853
BaseRepresentation
bin100111001010011…
…1110010100111100
310101120202021010220
41032110332110330
510142403333040
6334222101340
744364562422
oct11624762474
93346667126
101314121020
11614872633
1230811a850
1317c340504
14c6759112
157a57e2d0
hex4e53e53c

1314121020 has 48 divisors (see below), whose sum is σ = 3681326880. Its totient is φ = 350262016.

The previous prime is 1314121007. The next prime is 1314121027. The reversal of 1314121020 is 201214131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314121027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 163414 + ... + 171266.

It is an arithmetic number, because the mean of its divisors is an integer number (76694310).

Almost surely, 21314121020 is an apocalyptic number.

1314121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314121020 is an abundant number, since it is smaller than the sum of its proper divisors (2367205860).

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

1314121020 is a wasteful number, since it uses less digits than its factorization.

1314121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10654 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1314121020 is about 36250.8071634274. The cubic root of 1314121020 is about 1095.3303479835.

Adding to 1314121020 its reverse (201214131), we get a palindrome (1515335151).

The spelling of 1314121020 in words is "one billion, three hundred fourteen million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2789 5578 7853 8367 11156 13945 15706 16734 23559 27890 31412 33468 39265 41835 47118 55780 78530 83670 94236 117795 157060 167340 235590 471180 21902017 43804034 65706051 87608068 109510085 131412102 219020170 262824204 328530255 438040340 657060510 1314121020