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10133113230300 = 223521031253926153
BaseRepresentation
bin1001001101110100110010…
…0111010101001111011100
31022212201100002020222120010
42103131030213111033130
52312010103441332200
633315030555323220
72064043664211654
oct223351447251734
938781302228503
1010133113230300
11325747a281155
121177a47150510
1358671900b058
14270633c77364
151288bb265150
hex9374c9d53dc

10133113230300 has 144 divisors (see below), whose sum is σ = 29606612555520. Its totient is φ = 2675613212160.

The previous prime is 10133113230283. The next prime is 10133113230311. The reversal of 10133113230300 is 303231133101.

It is a congruent number.

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, 387442024 + ... + 387468176.

It is an arithmetic number, because the mean of its divisors is an integer number (205601476080).

Almost surely, 210133113230300 is an apocalyptic number.

10133113230300 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 10133113230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14803306277760).

10133113230300 is an abundant number, since it is smaller than the sum of its proper divisors (19473499325220).

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

10133113230300 is a wasteful number, since it uses less digits than its factorization.

10133113230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38812 (or 38805 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10133113230300 its reverse (303231133101), we get a palindrome (10436344363401).

The spelling of 10133113230300 in words is "ten trillion, one hundred thirty-three billion, one hundred thirteen million, two hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1545 2060 2575 3090 5150 6180 7725 10300 12539 15450 25078 26153 30900 37617 50156 52306 62695 75234 78459 104612 125390 130765 150468 156918 188085 250780 261530 313475 313836 376170 392295 523060 626950 653825 752340 784590 940425 1253900 1291517 1307650 1569180 1880850 1961475 2583034 2615300 2693759 3761700 3874551 3922950 5166068 5387518 6457585 7749102 7845900 8081277 10775036 12915170 13468795 15498204 16162554 19372755 25830340 26937590 32287925 32325108 38745510 40406385 53875180 64575850 67343975 77491020 80812770 96863775 129151700 134687950 161625540 193727550 202031925 269375900 327932467 387455100 404063850 655864934 808127700 983797401 1311729868 1639662335 1967594802 3279324670 3935189604 4918987005 6558649340 8198311675 9837974010 16396623350 19675948020 24594935025 32793246700 33777044101 49189870050 67554088202 98379740100 101331132303 135108176404 168885220505 202662264606 337770441010 405324529212 506655661515 675540882020 844426102525 1013311323030 1688852205050 2026622646060 2533278307575 3377704410100 5066556615150 10133113230300