Search a number
-
+
12134020301400 = 23352167121098007
BaseRepresentation
bin1011000010010010101111…
…1110000100001001011000
31120222000000201220211011010
42300210223332010021120
53042300433144121100
641450143022133520
72361440222536134
oct260445376041130
946860021824133
1012134020301400
113959011143978
12143b7a2a212a0
136a030547348a
142dd40ada43c4
15160978bb9750
hexb092bf84258

12134020301400 has 96 divisors (see below), whose sum is σ = 37840705539840. Its totient is φ = 3216363039360.

The previous prime is 12134020301399. The next prime is 12134020301407. The reversal of 12134020301400 is 410302043121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12134020301407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 60448804 + ... + 60649203.

It is an arithmetic number, because the mean of its divisors is an integer number (394174016040).

Almost surely, 212134020301400 is an apocalyptic number.

12134020301400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12134020301400 is an abundant number, since it is smaller than the sum of its proper divisors (25706685238440).

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

12134020301400 is a wasteful number, since it uses less digits than its factorization.

12134020301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121098193 (or 121098184 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12134020301400 its reverse (410302043121), we get a palindrome (12544322344521).

The spelling of 12134020301400 in words is "twelve trillion, one hundred thirty-four billion, twenty million, three hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 167 200 300 334 501 600 668 835 1002 1336 1670 2004 2505 3340 4008 4175 5010 6680 8350 10020 12525 16700 20040 25050 33400 50100 100200 121098007 242196014 363294021 484392028 605490035 726588042 968784056 1210980070 1453176084 1816470105 2421960140 2906352168 3027450175 3632940210 4843920280 6054900350 7265880420 9082350525 12109800700 14531760840 18164701050 20223367169 24219601400 36329402100 40446734338 60670101507 72658804200 80893468676 101116835845 121340203014 161786937352 202233671690 242680406028 303350507535 404467343380 485360812056 505584179225 606701015070 808934686760 1011168358450 1213402030140 1516752537675 2022336716900 2426804060280 3033505075350 4044673433800 6067010150700 12134020301400