Search a number
-
+
31142324005110 = 23251071233230173
BaseRepresentation
bin1110001010010111000110…
…01010001110100011110110
311002021011210002211202101200
413011023203022032203312
513040213434421130420
6150122330335033330
76362646551255523
oct705134312164366
9132234702752350
1031142324005110
119a1742702756a
1235ab71136b846
13144b9298c8316
1479942193c14a
1539013b2c5b90
hex1c52e328e8f6

31142324005110 has 48 divisors (see below), whose sum is σ = 80970823340784. Its totient is φ = 8304539639616.

The previous prime is 31142324005097. The next prime is 31142324005181. The reversal of 31142324005110 is 1150042324113.

31142324005110 is a `hidden beast` number, since 3 + 1 + 14 + 232 + 400 + 5 + 1 + 10 = 666.

It is a super-2 number, since 2×311423240051102 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 8025984 + ... + 11256156.

It is an arithmetic number, because the mean of its divisors is an integer number (1686892152933).

Almost surely, 231142324005110 is an apocalyptic number.

31142324005110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31142324005110 is an abundant number, since it is smaller than the sum of its proper divisors (49828499335674).

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

31142324005110 is a wasteful number, since it uses less digits than its factorization.

31142324005110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337309 (or 3337306 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 31142324005110 its reverse (1150042324113), we get a palindrome (32292366329223).

The spelling of 31142324005110 in words is "thirty-one trillion, one hundred forty-two billion, three hundred twenty-four million, five thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107123 214246 321369 535615 642738 964107 1071230 1606845 1928214 3213690 3230173 4820535 6460346 9641070 9690519 16150865 19381038 29071557 32301730 48452595 58143114 96905190 145357785 290715570 346025822279 692051644558 1038077466837 1730129111395 2076154933674 3114232400511 3460258222790 5190387334185 6228464801022 10380774668370 15571162002555 31142324005110