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1311103211220 = 2232511798381941
BaseRepresentation
bin10011000101000011110…
…101110101011011010100
311122100012001000000122100
4103011003311311123110
5132440114410224340
62442151300002100
7163503234262515
oct23050365653324
94570161000570
101311103211220
11466043645110
12192125990330
139683751b0ca
144765a044a0c
1524188aa0830
hex13143d756d4

1311103211220 has 144 divisors (see below), whose sum is σ = 4393478718720. Its totient is φ = 313819833600.

The previous prime is 1311103211177. The next prime is 1311103211233. The reversal of 1311103211220 is 221123011131.

1311103211220 is a `hidden beast` number, since 1 + 311 + 1 + 0 + 321 + 12 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1311103211193 and 1311103211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4034551 + ... + 4347390.

It is an arithmetic number, because the mean of its divisors is an integer number (30510268880).

Almost surely, 21311103211220 is an apocalyptic number.

1311103211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311103211220 is an abundant number, since it is smaller than the sum of its proper divisors (3082375507500).

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

1311103211220 is a wasteful number, since it uses less digits than its factorization.

1311103211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8382046 (or 8382041 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1311103211220 its reverse (221123011131), we get a palindrome (1532226222351).

The spelling of 1311103211220 in words is "one trillion, three hundred eleven billion, one hundred three million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 79 90 99 110 132 158 165 180 198 220 237 316 330 395 396 474 495 660 711 790 869 948 990 1185 1422 1580 1738 1980 2370 2607 2844 3476 3555 4345 4740 5214 7110 7821 8690 10428 13035 14220 15642 17380 26070 31284 39105 52140 78210 156420 8381941 16763882 25145823 33527764 41909705 50291646 75437469 83819410 92201351 100583292 125729115 150874938 167638820 184402702 251458230 276604053 301749876 368805404 377187345 461006755 502916460 553208106 662173339 754374690 829812159 922013510 1106416212 1324346678 1383020265 1508749380 1659624318 1844027020 1986520017 2648693356 2766040530 3310866695 3319248636 3973040034 4149060795 5532081060 5959560051 6621733390 7283906729 7946080068 8298121590 9932600085 11919120102 13243466780 14567813458 16596243180 19865200170 21851720187 23838240204 29135626916 29797800255 36419533645 39730400340 43703440374 59595600510 65555160561 72839067290 87406880748 109258600935 119191201020 131110321122 145678134580 218517201870 262220642244 327775802805 437034403740 655551605610 1311103211220