Search a number
-
+
125014134300 = 2235211254314897
BaseRepresentation
bin111010001101101101…
…1000100111000011100
3102221200110011000200020
41310123123010320130
54022012104244200
6133233010432140
712013652415516
oct1643333047034
9387613130606
10125014134300
1149022246470
122028ab92650
13ba33c54543
14609d246bb6
1533ba29eea0
hex1d1b6c4e1c

125014134300 has 144 divisors (see below), whose sum is σ = 394771732992. Its totient is φ = 30292505600.

The previous prime is 125014134211. The next prime is 125014134331. The reversal of 125014134300 is 3431410521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8384452 + ... + 8399348.

It is an arithmetic number, because the mean of its divisors is an integer number (2741470368).

Almost surely, 2125014134300 is an apocalyptic number.

125014134300 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 125014134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197385866496).

125014134300 is an abundant number, since it is smaller than the sum of its proper divisors (269757598692).

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

125014134300 is a wasteful number, since it uses less digits than its factorization.

125014134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17468 (or 17461 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 125014134300 its reverse (3431410521), we get a palindrome (128445544821).

The spelling of 125014134300 in words is "one hundred twenty-five billion, fourteen million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2543 3300 5086 7629 10172 12715 14897 15258 25430 27973 29794 30516 38145 44691 50860 55946 59588 63575 74485 76290 83919 89382 111892 127150 139865 148970 152580 163867 167838 178764 190725 223455 254300 279730 297940 327734 335676 372425 381450 419595 446910 491601 559460 655468 699325 744850 762900 819335 839190 893820 983202 1117275 1398650 1489700 1638670 1678380 1966404 2097975 2234550 2458005 2797300 3277340 4096675 4195950 4469100 4916010 8193350 8391900 9832020 12290025 16386700 24580050 37883071 49160100 75766142 113649213 151532284 189415355 227298426 378830710 416713781 454596852 568246065 757661420 833427562 947076775 1136492130 1250141343 1666855124 1894153550 2083568905 2272984260 2500282686 2841230325 3788307100 4167137810 5000565372 5682460650 6250706715 8334275620 10417844525 11364921300 12501413430 20835689050 25002826860 31253533575 41671378100 62507067150 125014134300