Search a number
-
+
131233130200200 = 23352731245983381
BaseRepresentation
bin11101110101101100011000…
…000110111011110010001000
3122012122202122111000221120010
4131311230120012323302020
5114200110422312401300
61143035400121431520
736433165206362460
oct3565543006736210
9565582574027503
10131233130200200
11388a6726837066
1212875a3993b5a0
13582c3008a5142
142459a0874aba0
151028a1cabea50
hex775b181bbc88

131233130200200 has 96 divisors (see below), whose sum is σ = 464940232724160. Its totient is φ = 29996144044800.

The previous prime is 131233130200129. The next prime is 131233130200259. The reversal of 131233130200200 is 2002031332131.

131233130200200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15622987491 + ... + 15622995890.

It is an arithmetic number, because the mean of its divisors is an integer number (4843127424210).

Almost surely, 2131233130200200 is an apocalyptic number.

131233130200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131233130200200 is an abundant number, since it is smaller than the sum of its proper divisors (333707102523960).

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

131233130200200 is a wasteful number, since it uses less digits than its factorization.

131233130200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31245983407 (or 31245983398 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131233130200200 its reverse (2002031332131), we get a palindrome (133235161532331).

The spelling of 131233130200200 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, one hundred thirty million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 31245983381 62491966762 93737950143 124983933524 156229916905 187475900286 218721883667 249967867048 312459833810 374951800572 437443767334 468689750715 624919667620 656165651001 749903601144 781149584525 874887534668 937379501430 1093609418335 1249839335240 1312331302002 1562299169050 1749775069336 1874759002860 2187218836670 2343448753575 2624662604004 3124598338100 3280828255005 3749518005720 4374437673340 4686897507150 5249325208008 5468047091675 6249196676200 6561656510010 8748875346680 9373795014300 10936094183350 13123313020020 16404141275025 18747590028600 21872188366700 26246626040040 32808282550050 43744376733400 65616565100100 131233130200200