Search a number
-
+
131351533031333 = 17291018299773257
BaseRepresentation
bin11101110111011010101001…
…011101111000111110100101
3122020002002021011211222021002
4131313122221131320332211
5114204030414424000313
61143210021121203045
736444556303006046
oct3567325135707645
9566062234758232
10131351533031333
113894196608360a
1212894982790485
13583a51cc08274
14246163b8d88cd
15102bb4c735058
hex7776a9778fa5

131351533031333 has 64 divisors (see below), whose sum is σ = 145667262513600. Its totient is φ = 117880661606400.

The previous prime is 131351533031221. The next prime is 131351533031347. The reversal of 131351533031333 is 333130335153131.

It can be written as a sum of positive squares in 32 ways, for example, as 3700921793284 + 127650611238049 = 1923778^2 + 11298257^2 .

It is a cyclic number.

It is not a de Polignac number, because 131351533031333 - 212 = 131351533027237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131351533031393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40328992241 + ... + 40328995497.

It is an arithmetic number, because the mean of its divisors is an integer number (2276050976775).

Almost surely, 2131351533031333 is an apocalyptic number.

It is an amenable number.

131351533031333 is a deficient number, since it is larger than the sum of its proper divisors (14315729482267).

131351533031333 is a wasteful number, since it uses less digits than its factorization.

131351533031333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5210.

The product of its (nonzero) digits is 164025, while the sum is 38.

Adding to 131351533031333 its reverse (333130335153131), we get a palindrome (464481868184464).

The spelling of 131351533031333 in words is "one hundred thirty-one trillion, three hundred fifty-one billion, five hundred thirty-three million, thirty-one thousand, three hundred thirty-three".

Divisors: 1 17 29 101 493 829 977 1717 2929 3257 14093 16609 24041 28333 49793 55369 83729 94453 98677 328957 408697 481661 809933 1423393 1605701 1677509 2428141 2700053 2861633 3182089 5592269 9539753 13768861 23488057 41278397 45900901 48647761 54095513 78301537 81803233 92280581 162175801 272705353 321390989 399296969 1331126129 1390654961 1568769877 2372293757 2637951781 4635991001 5463646813 7908455237 9320338681 40328993869 44845180277 76500601649 134443739029 158445757577 266433129881 1300510228033 4529363207977 7726560766549 131351533031333