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142134111020 = 2251117371027129
BaseRepresentation
bin1000010001011111011…
…0100110101100101100
3111120212120101221201002
42010113312212230230
54312042313023040
6145143455135432
713161134003216
oct2042766465454
9446776357632
10142134111020
1155308000360
1223668514578
1310531a64095
146c44c375b6
153a6d275a15
hex2117da6b2c

142134111020 has 96 divisors (see below), whose sum is σ = 354088687680. Its totient is φ = 47330058240.

The previous prime is 142134110999. The next prime is 142134111029. The reversal of 142134111020 is 20111431241.

142134111020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 142134110983 and 142134111001.

It is not an unprimeable number, because it can be changed into a prime (142134111029) 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 31 ways as a sum of consecutive naturals, for example, 375185 + ... + 651944.

It is an arithmetic number, because the mean of its divisors is an integer number (3688423830).

Almost surely, 2142134111020 is an apocalyptic number.

142134111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142134111020 is an abundant number, since it is smaller than the sum of its proper divisors (211954576660).

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

142134111020 is a wasteful number, since it uses less digits than its factorization.

142134111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027203 (or 1027201 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 142134111020 its reverse (20111431241), we get a palindrome (162245542261).

The spelling of 142134111020 in words is "one hundred forty-two billion, one hundred thirty-four million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 37 44 55 68 74 85 110 148 170 185 187 220 340 370 374 407 629 740 748 814 935 1258 1628 1870 2035 2516 3145 3740 4070 6290 6919 8140 12580 13838 27676 34595 69190 138380 1027129 2054258 4108516 5135645 10271290 11298419 17461193 20542580 22596838 34922386 38003773 45193676 56492095 69844772 76007546 87305965 112984190 152015092 174611930 190018865 192073123 225968380 349223860 380037730 384146246 418041503 646064141 760075460 768292492 836083006 960365615 1292128282 1672166012 1920731230 2090207515 2584256564 3230320705 3841462460 4180415030 6460641410 7106705551 8360830060 12921282820 14213411102 28426822204 35533527755 71067055510 142134111020