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2030103124 = 22742937197
BaseRepresentation
bin111100100000000…
…1110101001010100
312020110222220221121
41321000032221110
513124201244444
6533240053324
7101210410000
oct17100165124
95213886847
102030103124
11951a38585
12487a64244
1326478726a
14153893700
15bd35c084
hex7900ea54

2030103124 has 120 divisors (see below), whose sum is σ = 4425692040. Its totient is φ = 813189888.

The previous prime is 2030103113. The next prime is 2030103133. The reversal of 2030103124 is 4213010302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1350562500 + 679540624 = 36750^2 + 26068^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2030103098 and 2030103107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10304994 + ... + 10305190.

It is an arithmetic number, because the mean of its divisors is an integer number (36880767).

Almost surely, 22030103124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030103124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212846020).

2030103124 is an abundant number, since it is smaller than the sum of its proper divisors (2395588916).

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

2030103124 is a wasteful number, since it uses less digits than its factorization.

2030103124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2030103124 is about 45056.6656999827. The cubic root of 2030103124 is about 1266.2108574498.

Adding to 2030103124 its reverse (4213010302), we get a palindrome (6243113426).

The spelling of 2030103124 in words is "two billion, thirty million, one hundred three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 37 49 58 74 98 116 148 196 197 203 259 343 394 406 518 686 788 812 1036 1073 1372 1379 1421 1813 2146 2401 2758 2842 3626 4292 4802 5516 5684 5713 7252 7289 7511 9604 9653 9947 11426 12691 14578 15022 19306 19894 22852 25382 29156 30044 38612 39788 39991 50764 51023 52577 67571 69629 79982 88837 102046 105154 135142 139258 159964 177674 204092 210308 211381 270284 278516 279937 355348 357161 368039 422762 472997 559874 714322 736078 845524 945994 1119748 1428644 1472156 1479667 1891988 1959559 2500127 2576273 2959334 3919118 5000254 5152546 5918668 7838236 10000508 10305092 10357669 13716913 17500889 20715338 27433826 35001778 41430676 54867652 70003556 72503683 145007366 290014732 507525781 1015051562 2030103124