Search a number
-
+
3123001021200 = 2435219136973729
BaseRepresentation
bin101101011100100001010…
…111011101001100010000
3102001120000022101120002220
4231130201113131030100
5402131401230134300
610350404210141040
7441425606454324
oct55344127351420
912046008346086
103123001021200
11aa4503729505
12425312881780
13198661698558
14ab222a2d984
1556382de0da0
hex2d7215dd310

3123001021200 has 120 divisors (see below), whose sum is σ = 10530540362400. Its totient is φ = 788968673280.

The previous prime is 3123001021199. The next prime is 3123001021207. The reversal of 3123001021200 is 21201003213.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3123001021200.

It is not an unprimeable number, because it can be changed into a prime (3123001021207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68464065 + ... + 68509664.

It is an arithmetic number, because the mean of its divisors is an integer number (87754503020).

Almost surely, 23123001021200 is an apocalyptic number.

3123001021200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3123001021200 is an abundant number, since it is smaller than the sum of its proper divisors (7407539341200).

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

3123001021200 is a wasteful number, since it uses less digits than its factorization.

3123001021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136973769 (or 136973758 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3123001021200 its reverse (21201003213), we get a palindrome (3144202024413).

The spelling of 3123001021200 in words is "three trillion, one hundred twenty-three billion, one million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 136973729 273947458 410921187 547894916 684868645 821842374 1095789832 1369737290 1643684748 2054605935 2191579664 2602500851 2739474580 3287369496 3424343225 4109211870 5205001702 5478949160 6574738992 6848686450 7807502553 8218423740 10273029675 10410003404 10957898320 13012504255 13697372900 15615005106 16436847480 20546059350 20820006808 26025008510 27394745800 31230010212 32873694960 39037512765 41092118700 41640013616 52050017020 54789491600 62460020424 65062521275 78075025530 82184237400 104100034040 124920040848 130125042550 156150051060 164368474800 195187563825 208200068080 260250085100 312300102120 390375127650 520500170200 624600204240 780750255300 1041000340400 1561500510600 3123001021200