Search a number
-
+
4123211003000 = 23536183814381
BaseRepresentation
bin111100000000000010100…
…001101111010001111000
3112121011201122221011110122
4330000002201233101320
51020023314004044000
612434102121232412
7603615004153235
oct74000241572170
915534648834418
104123211003000
11134a70a134881
12567133032708
1323ba8130487b
141037c8cd678c
15723c2cd4085
hex3c00286f478

4123211003000 has 128 divisors (see below), whose sum is σ = 9924645407040. Its totient is φ = 1602699840000.

The previous prime is 4123211002969. The next prime is 4123211003003. The reversal of 4123211003000 is 3001123214.

It is a self number, because there is not a number n which added to its sum of digits gives 4123211003000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123211003003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4655810 + ... + 5470190.

Almost surely, 24123211003000 is an apocalyptic number.

4123211003000 is a gapful number since it is divisible by the number (40) 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 4123211003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962322703520).

4123211003000 is an abundant number, since it is smaller than the sum of its proper divisors (5801434404040).

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

4123211003000 is a wasteful number, since it uses less digits than its factorization.

4123211003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814546 (or 814532 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 4123211003000 its reverse (3001123214), we get a palindrome (4126212126214).

The spelling of 4123211003000 in words is "four trillion, one hundred twenty-three billion, two hundred eleven million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 83 100 122 125 166 200 244 250 305 332 415 488 500 610 664 830 1000 1220 1525 1660 2075 2440 3050 3320 4150 5063 6100 7625 8300 10126 10375 12200 15250 16600 20252 20750 25315 30500 40504 41500 50630 61000 83000 101260 126575 202520 253150 506300 632875 814381 1012600 1265750 1628762 2531500 3257524 4071905 5063000 6515048 8143810 16287620 20359525 32575240 40719050 49677241 67593623 81438100 99354482 101797625 135187246 162876200 198708964 203595250 248386205 270374492 337968115 397417928 407190500 496772410 540748984 675936230 814381000 993544820 1241931025 1351872460 1689840575 1987089640 2483862050 2703744920 3379681150 4123211003 4967724100 6209655125 6759362300 8246422006 8449202875 9935448200 12419310250 13518724600 16492844012 16898405750 20616055015 24838620500 32985688024 33796811500 41232110030 49677241000 67593623000 82464220060 103080275075 164928440120 206160550150 412321100300 515401375375 824642200600 1030802750750 2061605501500 4123211003000