Search a number
-
+
1012354300300 = 225274155216389
BaseRepresentation
bin11101011101101010000…
…01001011100110001100
310120210001201012220110211
432232311001023212030
5113041300200102200
62053022534012204
7133066040400160
oct16566501134614
93523051186424
101012354300300
11360378679632
1214424b4a7064
13746069609c5
1436dd9130ca0
151b50116eaba
hexebb504b98c

1012354300300 has 144 divisors (see below), whose sum is σ = 2572742208960. Its totient is φ = 338512896000.

The previous prime is 1012354300277. The next prime is 1012354300313. The reversal of 1012354300300 is 30034532101.

1012354300300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10123543003002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158449506 + ... + 158455894.

It is an arithmetic number, because the mean of its divisors is an integer number (17866265340).

Almost surely, 21012354300300 is an apocalyptic number.

1012354300300 is a gapful number since it is divisible by the number (10) 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 1012354300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286371104480).

1012354300300 is an abundant number, since it is smaller than the sum of its proper divisors (1560387908660).

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

1012354300300 is a wasteful number, since it uses less digits than its factorization.

1012354300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11972 (or 11965 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 1012354300300 its reverse (30034532101), we get a palindrome (1042388832401).

The spelling of 1012354300300 in words is "one trillion, twelve billion, three hundred fifty-four million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 2050 2870 4100 5521 5740 6389 7175 11042 12778 14350 22084 25556 27605 28700 31945 38647 44723 55210 63890 77294 89446 110420 127780 138025 154588 159725 178892 193235 223615 226361 261949 276050 319450 386470 447230 452722 523898 552100 638900 772940 894460 905444 966175 1047796 1118075 1131805 1309745 1584527 1833643 1932350 2236150 2263610 2619490 3169054 3667286 3864700 4472300 4527220 5238980 5659025 6338108 6548725 7334572 7922635 9168215 11318050 13097450 15845270 18336430 22636100 26194900 31690540 35273669 36672860 39613175 45841075 70547338 79226350 91682150 141094676 158452700 176368345 183364300 246915683 352736690 493831366 705473380 881841725 987662732 1234578415 1446220429 1763683450 2469156830 2892440858 3527366900 4938313660 5784881716 6172892075 7231102145 10123543003 12345784150 14462204290 20247086006 24691568300 28924408580 36155510725 40494172012 50617715015 72311021450 101235430030 144622042900 202470860060 253088575075 506177150150 1012354300300