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100443432243 = 371113715121019
BaseRepresentation
bin101110110001011100…
…1010010010100110011
3100121021002001000221010
41131202321102110303
53121202004312433
6114050523202003
710154040041610
oct1354271222463
9317232030833
10100443432243
1139663776330
1217572376303
139619649b9b
144c0bccd507
15292d12be63
hex1762e52533

100443432243 has 64 divisors (see below), whose sum is σ = 169311559680. Its totient is φ = 51452064000.

The previous prime is 100443432217. The next prime is 100443432269. The reversal of 100443432243 is 342234344001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100443432217) and next prime (100443432269).

It is not a de Polignac number, because 100443432243 - 212 = 100443428147 is a prime.

It is a super-2 number, since 2×1004434322432 (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 100443432243.

It is not an unprimeable number, because it can be changed into a prime (100443432343) 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 63 ways as a sum of consecutive naturals, for example, 4768188 + ... + 4789206.

It is an arithmetic number, because the mean of its divisors is an integer number (2645493120).

Almost surely, 2100443432243 is an apocalyptic number.

100443432243 is a deficient number, since it is larger than the sum of its proper divisors (68868127437).

100443432243 is a wasteful number, since it uses less digits than its factorization.

100443432243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21328.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 100443432243 its reverse (342234344001), we get a palindrome (442677776244).

The spelling of 100443432243 in words is "one hundred billion, four hundred forty-three million, four hundred thirty-two thousand, two hundred forty-three".

Divisors: 1 3 7 11 21 33 77 137 151 231 411 453 959 1057 1507 1661 2877 3171 4521 4983 10549 11627 20687 21019 31647 34881 62061 63057 144809 147133 227557 231209 434427 441399 682671 693627 1592899 1618463 2879603 3173869 4778697 4855389 8638809 9521607 20157221 22217083 31675633 34912559 60471663 66651249 95026899 104737677 221729431 244387913 434820053 665188293 733163739 1304460159 3043740371 4783020583 9131221113 14349061749 33481144081 100443432243