Search a number
-
+
114031313131332 = 22329340796177337
BaseRepresentation
bin11001111011010111111011…
…111010011001011101000100
3112221202021202021102100222010
4121323113323322121131010
5104421242112130200312
61042305132334534220
733006330145663032
oct3173277372313504
9487667667370863
10114031313131332
11333744545218a3
1210958048067370
134b82150516b6c
142023205c67552
15d2b33972c93c
hex67b5fbe99744

114031313131332 has 48 divisors (see below), whose sum is σ = 275328789039360. Its totient is φ = 36688960718592.

The previous prime is 114031313131321. The next prime is 114031313131339. The reversal of 114031313131332 is 233131313130411.

It is a self number, because there is not a number n which added to its sum of digits gives 114031313131332.

It is not an unprimeable number, because it can be changed into a prime (114031313131339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46903033 + ... + 49274304.

It is an arithmetic number, because the mean of its divisors is an integer number (5736016438320).

Almost surely, 2114031313131332 is an apocalyptic number.

114031313131332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114031313131332 is an abundant number, since it is smaller than the sum of its proper divisors (161297475908028).

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

114031313131332 is a wasteful number, since it uses less digits than its factorization.

114031313131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96180780 (or 96180778 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

Adding to 114031313131332 its reverse (233131313130411), we get a palindrome (347162626261743).

The spelling of 114031313131332 in words is "one hundred fourteen trillion, thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 3407 6814 10221 13628 20442 40884 98803 197606 296409 395212 592818 1185636 96177337 192354674 288532011 384709348 577064022 1154128044 2789142773 5578285546 8367428319 11156571092 16734856638 33469713276 327676187159 655352374318 983028561477 1310704748636 1966057122954 3932114245908 9502609427611 19005218855222 28507828282833 38010437710444 57015656565666 114031313131332