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100442143230 = 2351113106122067
BaseRepresentation
bin101110110001011010…
…0010111100111111110
3100121020222121112201220
41131202310113213332
53121201142040410
6114050435414210
710154023062552
oct1354264274776
9317228545656
10100442143230
1139662a75930
1217571a54366
1396192b8260
144c0ba75862
15292ce75070
hex1762d179fe

100442143230 has 128 divisors (see below), whose sum is σ = 283484468736. Its totient is φ = 22454361600.

The previous prime is 100442143199. The next prime is 100442143253. The reversal of 100442143230 is 32341244001.

It is a self number, because there is not a number n which added to its sum of digits gives 100442143230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4540657 + ... + 4562723.

It is an arithmetic number, because the mean of its divisors is an integer number (2214722412).

Almost surely, 2100442143230 is an apocalyptic number.

100442143230 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 100442143230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141742234368).

100442143230 is an abundant number, since it is smaller than the sum of its proper divisors (183042325506).

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

100442143230 is a wasteful number, since it uses less digits than its factorization.

100442143230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23162.

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

Adding to 100442143230 its reverse (32341244001), we get a palindrome (132783387231).

The spelling of 100442143230 in words is "one hundred billion, four hundred forty-two million, one hundred forty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1061 1430 2122 2145 3183 4290 5305 6366 10610 11671 13793 15915 22067 23342 27586 31830 35013 41379 44134 58355 66201 68965 70026 82758 110335 116710 132402 137930 151723 175065 206895 220670 242737 286871 303446 331005 350130 413790 455169 485474 573742 662010 728211 758615 860613 910338 1213685 1434355 1456422 1517230 1721226 2275845 2427370 2868710 3155581 3641055 4303065 4551690 6311162 7282110 8606130 9466743 15777905 18933486 23413087 31555810 46826174 47333715 70239261 94667430 117065435 140478522 234130870 257543957 304370131 351196305 515087914 608740262 702392610 772631871 913110393 1287719785 1521850655 1545263742 1826220786 2575439570 3043701310 3348071441 3863159355 4565551965 6696142882 7726318710 9131103930 10044214323 16740357205 20088428646 33480714410 50221071615 100442143230