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142131131000 = 2353897392161
BaseRepresentation
bin1000010001011110101…
…1001111001001111000
3111120212100210112212222
42010113223033021320
54312041032143000
6145143311223212
713161066452135
oct2042753171170
9446770715788
10142131131000
1155306355431
1223667517b08
131053125c861
146c4469d58c
153a6cd87a85
hex2117acf278

142131131000 has 128 divisors (see below), whose sum is σ = 336934728000. Its totient is φ = 56111616000.

The previous prime is 142131130997. The next prime is 142131131029. The reversal of 142131131000 is 131131241.

142131131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1421311310002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142131131000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 65769920 + ... + 65772080.

Almost surely, 2142131131000 is an apocalyptic number.

142131131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142131131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168467364000).

142131131000 is an abundant number, since it is smaller than the sum of its proper divisors (194803597000).

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

142131131000 is a wasteful number, since it uses less digits than its factorization.

142131131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 142131131000 its reverse (131131241), we get a palindrome (142262262241).

The spelling of 142131131000 in words is "one hundred forty-two billion, one hundred thirty-one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 712 739 890 1000 1478 1780 2161 2225 2956 3560 3695 4322 4450 5912 7390 8644 8900 10805 11125 14780 17288 17800 18475 21610 22250 29560 36950 43220 44500 54025 65771 73900 86440 89000 92375 108050 131542 147800 184750 192329 216100 263084 270125 328855 369500 384658 432200 526168 540250 657710 739000 769316 961645 1080500 1315420 1538632 1596979 1644275 1923290 2161000 2630840 3193958 3288550 3846580 4808225 6387916 6577100 7693160 7984895 8221375 9616450 12775832 13154200 15969790 16442750 19232900 24041125 31939580 32885500 38465800 39924475 48082250 63879160 65771000 79848950 96164500 142131131 159697900 192329000 199622375 284262262 319395800 399244750 568524524 710655655 798489500 1137049048 1421311310 1596979000 2842622620 3553278275 5685245240 7106556550 14213113100 17766391375 28426226200 35532782750 71065565500 142131131000