Search a number
-
+
30131311331022 = 23111793671694763
BaseRepresentation
bin1101101100111011111100…
…00110111100011011001110
310221200112011220010112002120
412312131332012330123032
512422132411200043042
6144030044444433410
76226625661316116
oct666357606743316
9127615156115076
1030131311331022
1196676877a7630
123467797248866
1313a74a7bb83a5
14762512a86046
15373bb7d19dec
hex1b677e1bc6ce

30131311331022 has 64 divisors (see below), whose sum is σ = 66126414735360. Its totient is φ = 9077204482400.

The previous prime is 30131311330973. The next prime is 30131311331029. The reversal of 30131311331022 is 22013311313103.

It is a junction number, because it is equal to n+sod(n) for n = 30131311330983 and 30131311331001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30131311331029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43021813 + ... + 43716575.

It is an arithmetic number, because the mean of its divisors is an integer number (1033225230240).

Almost surely, 230131311331022 is an apocalyptic number.

30131311331022 is an abundant number, since it is smaller than the sum of its proper divisors (35995103404338).

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

30131311331022 is a wasteful number, since it uses less digits than its factorization.

30131311331022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698629.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 30131311331022 its reverse (22013311313103), we get a palindrome (52144622644125).

The spelling of 30131311331022 in words is "thirty trillion, one hundred thirty-one billion, three hundred eleven million, three hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 179 358 537 1074 1969 3671 3938 5907 7342 11013 11814 22026 40381 80762 121143 242286 657109 694763 1314218 1389526 1971327 2084289 3942654 4168578 7228199 7642393 14456398 15284786 21684597 22927179 43369194 45854358 124362577 248725154 373087731 746175462 1367988347 2550474973 2735976694 4103965041 5100949946 7651424919 8207930082 15302849838 28055224703 56110449406 84165674109 168331348218 456535020167 913070040334 1369605060501 2739210121002 5021885221837 10043770443674 15065655665511 30131311331022