Search a number
-
+
131202441343400 = 23527372532865663
BaseRepresentation
bin11101110101001111110010…
…111010001111000110101000
3122012112211102201112111022012
4131311033302322033012220
5114144110044440442100
61143013323001015052
736431030543402660
oct3565176272170650
9565484381474265
10131202441343400
1138894708774799
121286bab4184488
13582944c8a298b
142458336a291a0
151027d23775135
hex7753f2e8f1a8

131202441343400 has 96 divisors (see below), whose sum is σ = 358045890263040. Its totient is φ = 43767918639360.

The previous prime is 131202441343367. The next prime is 131202441343423. The reversal of 131202441343400 is 4343144202131.

It is a super-2 number, since 2×1312024413434002 (a number of 29 digits) contains 22 as substring.

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, 1266381032 + ... + 1266484631.

It is an arithmetic number, because the mean of its divisors is an integer number (3729644690240).

Almost surely, 2131202441343400 is an apocalyptic number.

131202441343400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131202441343400 is an abundant number, since it is smaller than the sum of its proper divisors (226843448919640).

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

131202441343400 is a wasteful number, since it uses less digits than its factorization.

131202441343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532865723 (or 2532865714 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 131202441343400 its reverse (4343144202131), we get a palindrome (135545585545531).

The spelling of 131202441343400 in words is "one hundred thirty-one trillion, two hundred two billion, four hundred forty-one million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 37 40 50 56 70 74 100 140 148 175 185 200 259 280 296 350 370 518 700 740 925 1036 1295 1400 1480 1850 2072 2590 3700 5180 6475 7400 10360 12950 25900 51800 2532865663 5065731326 10131462652 12664328315 17730059641 20262925304 25328656630 35460119282 50657313260 63321641575 70920238564 88650298205 93716029531 101314626520 126643283150 141840477128 177300596410 187432059062 253286566300 354601192820 374864118124 443251491025 468580147655 506573132600 656012206717 709202385640 749728236248 886502982050 937160295310 1312024413434 1773005964100 1874320590620 2342900738275 2624048826868 3280061033585 3546011928200 3748641181240 4685801476550 5248097653736 6560122067170 9371602953100 13120244134340 16400305167925 18743205906200 26240488268680 32800610335850 65601220671700 131202441343400