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11311331220 = 2232578977247
BaseRepresentation
bin10101000100011010…
…10011011110010100
31002012022021011101100
422202031103132110
5141131200044340
65110225030100
7550206505020
oct124215233624
932168234340
1011311331220
114884a51622
122238185330
1310b3591bc7
14794393380
1546308a830
hex2a2353794

11311331220 has 72 divisors (see below), whose sum is σ = 39212619264. Its totient is φ = 2585446848.

The previous prime is 11311331209. The next prime is 11311331221. The reversal of 11311331220 is 2213311311.

11311331220 is a `hidden beast` number, since 1 + 1 + 311 + 331 + 2 + 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 = 11311331193 and 11311331202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311331221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4487364 + ... + 4489883.

It is an arithmetic number, because the mean of its divisors is an integer number (544619712).

Almost surely, 211311331220 is an apocalyptic number.

11311331220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311331220 is an abundant number, since it is smaller than the sum of its proper divisors (27901288044).

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

11311331220 is a wasteful number, since it uses less digits than its factorization.

11311331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8977269 (or 8977264 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11311331220 its reverse (2213311311), we get a palindrome (13524642531).

The spelling of 11311331220 in words is "eleven billion, three hundred eleven million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 8977247 17954494 26931741 35908988 44886235 53863482 62840729 80795223 89772470 107726964 125681458 134658705 161590446 179544940 188522187 251362916 269317410 314203645 323180892 377044374 403976115 538634820 565566561 628407290 754088748 807952230 942610935 1131133122 1256814580 1615904460 1885221870 2262266244 2827832805 3770443740 5655665610 11311331220