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314242101020 = 22548173261803
BaseRepresentation
bin1001001001010100100…
…10011110111100011100
31010001010001221201111002
410210222102132330130
520122031434213040
6400205534445432
731463132533631
oct4445222367434
91101101851432
10314242101020
111112a6523621
1250a9b063878
132382c645a13
14112d083a188
158292bb5a15
hex492a49ef1c

314242101020 has 24 divisors (see below), whose sum is σ = 660045610224. Its totient is φ = 125670707456.

The previous prime is 314242101011. The next prime is 314242101023. The reversal of 314242101020 is 20101242413.

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

It is a junction number, because it is equal to n+sod(n) for n = 314242100983 and 314242101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314242101023) 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 7 ways as a sum of consecutive naturals, for example, 1534562 + ... + 1727241.

It is an arithmetic number, because the mean of its divisors is an integer number (27501900426).

Almost surely, 2314242101020 is an apocalyptic number.

It is an amenable number.

314242101020 is an abundant number, since it is smaller than the sum of its proper divisors (345803509204).

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

314242101020 is a wasteful number, since it uses less digits than its factorization.

314242101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266629 (or 3266627 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 314242101020 its reverse (20101242413), we get a palindrome (334343343433).

The spelling of 314242101020 in words is "three hundred fourteen billion, two hundred forty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 4817 9634 19268 24085 48170 96340 3261803 6523606 13047212 16309015 32618030 65236060 15712105051 31424210102 62848420204 78560525255 157121050510 314242101020