Search a number
-
+
13030311032100 = 2233524826041123
BaseRepresentation
bin1011110110011101101100…
…0011110111010100100100
31201010200111210001111111000
42331213123003313110210
53201442034111011400
643414013043113300
72513260153205355
oct275473303672444
951120453044430
1013030311032100
11417413a97284a
121565440972830
137369a361187b
143309558b5d2c
15178e3574d600
hexbd9db0f7524

13030311032100 has 72 divisors (see below), whose sum is σ = 41890036956320. Its totient is φ = 3474749607840.

The previous prime is 13030311032087. The next prime is 13030311032107. The reversal of 13030311032100 is 123011303031.

It is a happy number.

13030311032100 is a `hidden beast` number, since 1 + 3 + 0 + 30 + 311 + 0 + 321 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13030311032107) 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, 2413017862 + ... + 2413023261.

Almost surely, 213030311032100 is an apocalyptic number.

13030311032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13030311032100 is an abundant number, since it is smaller than the sum of its proper divisors (28859725924220).

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

13030311032100 is a wasteful number, since it uses less digits than its factorization.

13030311032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826041146 (or 4826041133 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13030311032100 its reverse (123011303031), we get a palindrome (13153322335131).

The spelling of 13030311032100 in words is "thirteen trillion, thirty billion, three hundred eleven million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4826041123 9652082246 14478123369 19304164492 24130205615 28956246738 43434370107 48260411230 57912493476 72390616845 86868740214 96520822460 120651028075 130303110321 144781233690 173737480428 217171850535 241302056150 260606220642 289562467380 361953084225 434343701070 482604112300 521212441284 651515551605 723906168450 868687402140 1085859252675 1303031103210 1447812336900 2171718505350 2606062206420 3257577758025 4343437010700 6515155516050 13030311032100