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142313424100 = 22521423134241
BaseRepresentation
bin1000010010001010001…
…0101000010011100100
3111121100001211000000021
42010202202220103210
54312424214032400
6145213342324524
713165442100661
oct2044242502344
9447301730007
10142313424100
115539a243991
12236b8589744
131055cc573b3
146c60992a68
153a7dd9571a
hex21228a84e4

142313424100 has 18 divisors (see below), whose sum is σ = 308820130514. Its totient is φ = 56925369600.

The previous prime is 142313424041. The next prime is 142313424101. The reversal of 142313424100 is 1424313241.

It can be written as a sum of positive squares in 3 ways, for example, as 6731874304 + 135581549796 = 82048^2 + 368214^2 .

It is a super-2 number, since 2×1423134241002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (142313424101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 711567021 + ... + 711567220.

Almost surely, 2142313424100 is an apocalyptic number.

142313424100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142313424100 is an abundant number, since it is smaller than the sum of its proper divisors (166506706414).

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

142313424100 is a wasteful number, since it uses less digits than its factorization.

142313424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423134255 (or 1423134248 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 142313424100 its reverse (1424313241), we get a palindrome (143737737341).

The spelling of 142313424100 in words is "one hundred forty-two billion, three hundred thirteen million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1423134241 2846268482 5692536964 7115671205 14231342410 28462684820 35578356025 71156712050 142313424100