Search a number
-
+
231311222031000 = 23353178943098793
BaseRepresentation
bin110100100110000001010111…
…001110001100001010011000
31010100000010200202220111210110
4310212001113032030022120
5220304300340314443000
62135542524115244320
766502453500254106
oct6446012716141230
91110003622814713
10231311222031000
11677805a1624581
1221b397b82a96a0
139c0b72971bb97
144119746b04c76
151bb1e08089850
hexd2605738c298

231311222031000 has 128 divisors (see below), whose sum is σ = 722094434193600. Its totient is φ = 61648512076800.

The previous prime is 231311222030981. The next prime is 231311222031013. The reversal of 231311222031000 is 130222113132.

It is a super-2 number, since 2×2313112220310002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16182397 + ... + 26916396.

Almost surely, 2231311222031000 is an apocalyptic number.

231311222031000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231311222031000 is an abundant number, since it is smaller than the sum of its proper divisors (490783212162600).

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

231311222031000 is a wasteful number, since it uses less digits than its factorization.

231311222031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43100606 (or 43100592 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 231311222031000 its reverse (130222113132), we get a palindrome (231441444144132).

The spelling of 231311222031000 in words is "two hundred thirty-one trillion, three hundred eleven billion, two hundred twenty-two million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1789 3000 3578 5367 7156 8945 10734 14312 17890 21468 26835 35780 42936 44725 53670 71560 89450 107340 134175 178900 214680 223625 268350 357800 447250 536700 670875 894500 1073400 1341750 1789000 2683500 5367000 43098793 86197586 129296379 172395172 215493965 258592758 344790344 430987930 517185516 646481895 861975860 1034371032 1077469825 1292963790 1723951720 2154939650 2585927580 3232409475 4309879300 5171855160 5387349125 6464818950 8619758600 10774698250 12929637900 16162047375 21549396500 25859275800 32324094750 43098793000 64648189500 77103740677 129296379000 154207481354 231311222031 308414962708 385518703385 462622444062 616829925416 771037406770 925244888124 1156556110155 1542074813540 1850489776248 1927593516925 2313112220310 3084149627080 3855187033850 4626224440620 5782780550775 7710374067700 9252448881240 9637967584625 11565561101550 15420748135400 19275935169250 23131122203100 28913902753875 38551870338500 46262244406200 57827805507750 77103740677000 115655611015500 231311222031000