Search a number
-
+
1221331211330 = 2519411572633797
BaseRepresentation
bin10001110001011101000…
…000110101010001000010
311022202110200010220212112
4101301131000311101002
5130002241242230310
62333023302255322
7154144504002356
oct21613500652102
94282420126775
101221331211330
11430a666a096a
12178851427542
138b22ba07a49
1443181537466
1521b8275e705
hex11c5d035442

1221331211330 has 128 divisors (see below), whose sum is σ = 2395343301120. Its totient is φ = 446832322560.

The previous prime is 1221331211323. The next prime is 1221331211339. The reversal of 1221331211330 is 331121331221.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1221331211296 and 1221331211305.

It is not an unprimeable number, because it can be changed into a prime (1221331211339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 321654992 + ... + 321658788.

It is an arithmetic number, because the mean of its divisors is an integer number (18713619540).

Almost surely, 21221331211330 is an apocalyptic number.

1221331211330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1221331211330 is a deficient number, since it is larger than the sum of its proper divisors (1174012089790).

1221331211330 is a wasteful number, since it uses less digits than its factorization.

1221331211330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1221331211330 its reverse (331121331221), we get a palindrome (1552452542551).

The spelling of 1221331211330 in words is "one trillion, two hundred twenty-one billion, three hundred thirty-one million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 5 10 19 38 41 82 95 157 190 205 263 314 410 526 779 785 1315 1558 1570 2630 2983 3797 3895 4997 5966 6437 7594 7790 9994 10783 12874 14915 18985 21566 24985 29830 32185 37970 41291 49970 53915 64370 72143 82582 107830 122303 144286 155677 204877 206455 244606 311354 360715 409754 412910 596129 611515 721430 778385 784529 998611 1024385 1192258 1223030 1556770 1569058 1692931 1997222 2048770 2957863 2980645 3385862 3922645 4993055 5915726 5961290 7845290 8464655 9986110 11326451 14789315 16929310 18973609 22652902 24441289 29578630 32165689 37947218 40943051 48882578 56632255 64331378 81886102 94868045 113264510 122206445 156781927 160828445 189736090 204715255 244412890 313563854 321656890 409430510 464384491 777917969 783909635 928768982 1555835938 1567819270 2321922455 2978856613 3889589845 4643844910 5957713226 6428059007 7779179690 12856118014 14894283065 29788566130 32140295035 64280590070 122133121133 244266242266 610665605665 1221331211330