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142131210 = 235131919181
BaseRepresentation
bin10000111100011…
…00000000001010
3100220110000100220
420132030000022
5242341144320
622034210510
73344044464
oct1036140012
9326400326
10142131210
1173258311
123b723a36
13235a5410
1414c3b134
15c727e40
hex878c00a

142131210 has 64 divisors (see below), whose sum is σ = 386709120. Its totient is φ = 33143040.

The previous prime is 142131179. The next prime is 142131217. The reversal of 142131210 is 12131241.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 142131210.

It is not an unprimeable number, because it can be changed into a prime (142131217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2181 + ... + 17000.

It is an arithmetic number, because the mean of its divisors is an integer number (6042330).

Almost surely, 2142131210 is an apocalyptic number.

142131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193354560).

142131210 is an abundant number, since it is smaller than the sum of its proper divisors (244577910).

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

142131210 is a wasteful number, since it uses less digits than its factorization.

142131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19223.

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

The square root of 142131210 is about 11921.8794659231. The cubic root of 142131210 is about 521.8709843955.

Adding to 142131210 its reverse (12131241), we get a palindrome (154262451).

The spelling of 142131210 in words is "one hundred forty-two million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3705 7410 19181 38362 57543 95905 115086 191810 249353 287715 364439 498706 575430 728878 748059 1093317 1246765 1496118 1822195 2186634 2493530 3644390 3740295 4737707 5466585 7480590 9475414 10933170 14213121 23688535 28426242 47377070 71065605 142131210