Search a number
-
+
31144311010230 = 23511329928607669
BaseRepresentation
bin1110001010011010110011…
…00110000011001110110110
311002021100220120202001222220
413011031121212003032312
513040232022104311410
6150123255435303210
76363050026445415
oct705153146031666
9132240816661886
1031144311010230
119a182566a8960
1235abb868aab06
13144bb854728b2
1479956d7b347c
1539020596d070
hex1c53599833b6

31144311010230 has 64 divisors (see below), whose sum is σ = 81566188704000. Its totient is φ = 7547847125120.

The previous prime is 31144311010157. The next prime is 31144311010279. The reversal of 31144311010230 is 3201011344113.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31144311010230.

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 31 ways as a sum of consecutive naturals, for example, 13215165 + ... + 15392504.

It is an arithmetic number, because the mean of its divisors is an integer number (1274471698500).

Almost surely, 231144311010230 is an apocalyptic number.

31144311010230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31144311010230 is an abundant number, since it is smaller than the sum of its proper divisors (50421877693770).

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

31144311010230 is a wasteful number, since it uses less digits than its factorization.

31144311010230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28610989.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 31144311010230 its reverse (3201011344113), we get a palindrome (34345322354343).

The spelling of 31144311010230 in words is "thirty-one trillion, one hundred forty-four billion, three hundred eleven million, ten thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 3299 6598 9897 16495 19794 32990 36289 49485 72578 98970 108867 181445 217734 362890 544335 1088670 28607669 57215338 85823007 143038345 171646014 286076690 314684359 429115035 629368718 858230070 944053077 1573421795 1888106154 3146843590 4720265385 9440530770 94376700031 188753400062 283130100093 471883500155 566260200186 943767000310 1038143700341 1415650500465 2076287400682 2831301000930 3114431101023 5190718501705 6228862202046 10381437003410 15572155505115 31144311010230