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20142300324102 = 23113771116172961
BaseRepresentation
bin1001001010001101111101…
…01001111110000100000110
32122022120210112121221211220
410211012332221332010012
510120002412340332402
6110501124531541210
74146142656562305
oct445067651760406
978276715557756
1020142300324102
116466335473780
12231386775a806
13b31545602548
144d8c6d1a043c
1524de329dedbc
hex1251bea7e106

20142300324102 has 64 divisors (see below), whose sum is σ = 45770288260608. Its totient is φ = 5855117184000.

The previous prime is 20142300324059. The next prime is 20142300324103.

It is a happy number.

20142300324102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20142300324103) 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, 57913099 + ... + 58259862.

It is an arithmetic number, because the mean of its divisors is an integer number (715160754072).

Almost surely, 220142300324102 is an apocalyptic number.

20142300324102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20142300324102 is an abundant number, since it is smaller than the sum of its proper divisors (25627987936506).

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

20142300324102 is a wasteful number, since it uses less digits than its factorization.

20142300324102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116173085.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 20142300 and 324102, that added together give a palindrome (20466402).

The spelling of 20142300324102 in words is "twenty trillion, one hundred forty-two billion, three hundred million, three hundred twenty-four thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 37 66 71 74 111 142 213 222 407 426 781 814 1221 1562 2343 2442 2627 4686 5254 7881 15762 28897 57794 86691 173382 116172961 232345922 348518883 697037766 1277902571 2555805142 3833707713 4298399557 7667415426 8248280231 8596799114 12895198671 16496560462 24744840693 25790397342 47282395127 49489681386 90731082541 94564790254 141847185381 181462165082 272193247623 283694370762 305186368547 544386495246 610372737094 915559105641 1831118211282 3357050054017 6714100108034 10071150162051 20142300324102