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142100010 = 232513121453
BaseRepresentation
bin10000111100001…
…00011000101010
3100220101102120100
420132010120222
5242334200020
622033410230
73343554513
oct1036043052
9326342510
10142100010
1173236928
123b709976
1323594160
1414c2da0a
15c71da90
hex878462a

142100010 has 48 divisors (see below), whose sum is σ = 397883304. Its totient is φ = 34978176.

The previous prime is 142099999. The next prime is 142100011. The reversal of 142100010 is 10001241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 114126489 + 27973521 = 10683^2 + 5289^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 142099965 and 142100001.

It is not an unprimeable number, because it can be changed into a prime (142100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59557 + ... + 61896.

Almost surely, 2142100010 is an apocalyptic number.

142100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142100010 is an abundant number, since it is smaller than the sum of its proper divisors (255783294).

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

142100010 is a wasteful number, since it uses less digits than its factorization.

142100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121479 (or 121476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 142100010 is about 11920.5708755915. The cubic root of 142100010 is about 521.8327953487.

Adding to 142100010 its reverse (10001241), we get a palindrome (152101251).

The spelling of 142100010 in words is "one hundred forty-two million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 121453 242906 364359 607265 728718 1093077 1214530 1578889 1821795 2186154 3157778 3643590 4736667 5465385 7894445 9473334 10930770 14210001 15788890 23683335 28420002 47366670 71050005 142100010