Search a number
-
+
131023232311200 = 25352232373609281
BaseRepresentation
bin11101110010101000111001…
…001110000001111110100000
3122011220200212100010101220020
4131302220321032001332200
5114133141034432424300
61142355124133313440
736412054560640305
oct3562507116017640
9564820770111806
10131023232311200
1138825705964409
121284121b495880
13581558ca9b118
14244d7b5cc70ac
15102333570c8a0
hex772a39381fa0

131023232311200 has 144 divisors (see below), whose sum is σ = 445023257063616. Its totient is φ = 33420418662400.

The previous prime is 131023232311157. The next prime is 131023232311241. The reversal of 131023232311200 is 2113232320131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1186749441 + ... + 1186859840.

It is an arithmetic number, because the mean of its divisors is an integer number (3090439285164).

Almost surely, 2131023232311200 is an apocalyptic number.

131023232311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131023232311200 is an abundant number, since it is smaller than the sum of its proper divisors (314000024752416).

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

131023232311200 is a wasteful number, since it uses less digits than its factorization.

131023232311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373609327 (or 2373609314 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131023232311200 its reverse (2113232320131), we get a palindrome (133136464631331).

The spelling of 131023232311200 in words is "one hundred thirty-one trillion, twenty-three billion, two hundred thirty-two million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 460 480 552 575 600 690 736 800 920 1104 1150 1200 1380 1725 1840 2208 2300 2400 2760 3450 3680 4600 5520 6900 9200 11040 13800 18400 27600 55200 2373609281 4747218562 7120827843 9494437124 11868046405 14241655686 18988874248 23736092810 28483311372 35604139215 37977748496 47472185620 54593013463 56966622744 59340232025 71208278430 75955496992 94944371240 109186026926 113933245488 118680464050 142416556860 163779040389 178020696075 189888742480 218372053852 227866490976 237360928100 272965067315 284833113720 327558080778 356041392150 379777484960 436744107704 474721856200 545930134630 569666227440 655116161556 712082784300 818895201945 873488215408 949443712400 1091860269260 1139332454880 1310232323112 1364825336575 1424165568600 1637790403890 1746976430816 1898887424800 2183720538520 2620464646224 2729650673150 2848331137200 3275580807780 4094476009725 4367441077040 5240929292448 5459301346300 5696662274400 6551161615560 8188952019450 8734882154080 10918602692600 13102323231120 16377904038900 21837205385200 26204646462240 32755808077800 43674410770400 65511616155600 131023232311200