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2432101124442 = 23111731154345317
BaseRepresentation
bin100011011001000100100…
…001100000100101011010
322121111200022100022012210
4203121010201200211122
5304321420341440232
65101143011415550
7340466506314123
oct43310441404532
98544608308183
102432101124442
118584a27530a0
123334358b45b6
1314846665a3b2
1485a0015b04a
15433e7bda5cc
hex2364486095a

2432101124442 has 128 divisors (see below), whose sum is σ = 5803673960448. Its totient is φ = 670821811200.

The previous prime is 2432101124417. The next prime is 2432101124471. The reversal of 2432101124442 is 2444211012342.

It is a super-2 number, since 2×24321011244422 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53645968 + ... + 53691284.

It is an arithmetic number, because the mean of its divisors is an integer number (45341202816).

Almost surely, 22432101124442 is an apocalyptic number.

2432101124442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2432101124442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901836980224).

2432101124442 is an abundant number, since it is smaller than the sum of its proper divisors (3371572836006).

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

2432101124442 is a wasteful number, since it uses less digits than its factorization.

2432101124442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46924.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2432101124442 its reverse (2444211012342), we get a palindrome (4876312136784).

The spelling of 2432101124442 in words is "two trillion, four hundred thirty-two billion, one hundred one million, one hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 17 22 31 33 34 51 62 66 93 102 186 187 341 374 527 561 682 1023 1054 1122 1543 1581 2046 3086 3162 4629 5797 9258 11594 16973 17391 26231 33946 34782 45317 47833 50919 52462 78693 90634 95666 101838 135951 143499 157386 271902 286998 288541 498487 526163 577082 770389 813161 865623 996974 1052326 1404827 1495461 1540778 1578489 1626322 1731246 2311167 2439483 2809654 2990922 3156978 4214481 4622334 4878966 8428962 8474279 8944771 15453097 16948558 17889542 23882059 25422837 26834313 30906194 46359291 47764118 50845674 53668626 69924131 71646177 92718582 139848262 143292354 209772393 262702649 419544786 525405298 769165441 788107947 1188710227 1538330882 1576215894 2167648061 2307496323 2377420454 3566130681 4335296122 4614992646 6502944183 7132261362 13005888366 13075812497 23844128671 26151624994 36850017037 39227437491 47688257342 71532386013 73700034074 78454874982 110550051111 143064772026 221100102222 405350187407 810700374814 1216050562221 2432101124442