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2124102552 = 23311131633797
BaseRepresentation
bin111111010011011…
…0011101110011000
312111000212120220220
41332212303232120
513322232240202
6550434520040
7103431400545
oct17646635630
95430776826
102124102552
119a0000760
124b3436020
1327b0a9720
14162161bcc
15c6728abc
hex7e9b3b98

2124102552 has 128 divisors (see below), whose sum is σ = 6278549760. Its totient is φ = 590353920.

The previous prime is 2124102521. The next prime is 2124102557. The reversal of 2124102552 is 2552014212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124102557) 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 31 ways as a sum of consecutive naturals, for example, 557518 + ... + 561314.

It is an arithmetic number, because the mean of its divisors is an integer number (49051170).

Almost surely, 22124102552 is an apocalyptic number.

2124102552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124102552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139274880).

2124102552 is an abundant number, since it is smaller than the sum of its proper divisors (4154447208).

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

2124102552 is a wasteful number, since it uses less digits than its factorization.

2124102552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2124102552 is about 46087.9870682155. The cubic root of 2124102552 is about 1285.4597822741.

Adding to 2124102552 its reverse (2552014212), we get a palindrome (4676116764).

The spelling of 2124102552 in words is "two billion, one hundred twenty-four million, one hundred two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 163 264 286 312 326 429 489 572 652 858 978 1144 1304 1716 1793 1956 2119 3432 3586 3797 3912 4238 5379 6357 7172 7594 8476 10758 11391 12714 14344 15188 16952 21516 22782 23309 25428 30376 41767 43032 45564 46618 49361 50856 69927 83534 91128 93236 98722 125301 139854 148083 167068 186472 197444 250602 279708 296166 334136 394888 501204 542971 559416 592332 618911 1002408 1085942 1184664 1237822 1628913 1856733 2171884 2475644 3257826 3713466 4343768 4951288 6515652 6808021 7426932 8045843 13031304 13616042 14853864 16091686 20424063 24137529 27232084 32183372 40848126 48275058 54464168 64366744 81696252 88504273 96550116 163392504 177008546 193100232 265512819 354017092 531025638 708034184 1062051276 2124102552