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2103435144 = 233235338269
BaseRepresentation
bin111110101011111…
…1101111110001000
312102120222120120100
41331113331332020
513301434411034
6544415525400
7103060621656
oct17527757610
95376876510
102103435144
1198a374a58
124a8529860
13276a215a5
1415d501dd6
15c49e5099
hex7d5fdf88

2103435144 has 48 divisors (see below), whose sum is σ = 5699105100. Its totient is φ = 700861824.

The previous prime is 2103435121. The next prime is 2103435149. The reversal of 2103435144 is 4415343012.

It is a happy number.

2103435144 is a `hidden beast` number, since 2 + 103 + 43 + 514 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1751422500 + 352012644 = 41850^2 + 18762^2 .

It is not an unprimeable number, because it can be changed into a prime (2103435149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250242 + ... + 258510.

Almost surely, 22103435144 is an apocalyptic number.

2103435144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2103435144 is an abundant number, since it is smaller than the sum of its proper divisors (3595669956).

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

2103435144 is a wasteful number, since it uses less digits than its factorization.

2103435144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11814 (or 11807 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2103435144 is about 45863.2221284113. Note that the first 3 decimals coincide. The cubic root of 2103435144 is about 1281.2770344199.

Adding to 2103435144 its reverse (4415343012), we get a palindrome (6518778156).

The spelling of 2103435144 in words is "two billion, one hundred three million, four hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3533 7066 8269 10599 14132 16538 21198 24807 28264 31797 33076 42396 49614 63594 66152 74421 84792 99228 127188 148842 198456 254376 297684 595368 29214377 58428754 87643131 116857508 175286262 233715016 262929393 350572524 525858786 701145048 1051717572 2103435144