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231120311220 = 223252213358013
BaseRepresentation
bin1101011100111111011…
…0000001001110110100
3211002120011122021221200
43113033312001032310
512241313244424340
6254101502212500
722461243142221
oct3271766011664
9732504567850
10231120311220
118a021432677
1238961884130
1318a43826c06
14b287234948
15602a5e7330
hex35cfd813b4

231120311220 has 72 divisors (see below), whose sum is σ = 701108704296. Its totient is φ = 61628236032.

The previous prime is 231120311183. The next prime is 231120311269. The reversal of 231120311220 is 22113021132.

231120311220 is a `hidden beast` number, since 2 + 311 + 20 + 311 + 2 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63646207524 + 167474103696 = 252282^2 + 409236^2 .

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 = 231120311193 and 231120311202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3954934 + ... + 4012946.

It is an arithmetic number, because the mean of its divisors is an integer number (9737620893).

Almost surely, 2231120311220 is an apocalyptic number.

231120311220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231120311220 is an abundant number, since it is smaller than the sum of its proper divisors (469988393076).

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

231120311220 is a wasteful number, since it uses less digits than its factorization.

231120311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80161 (or 80156 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 231120311220 its reverse (22113021132), we get a palindrome (253233332352).

The spelling of 231120311220 in words is "two hundred thirty-one billion, one hundred twenty million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22133 44266 58013 66399 88532 110665 116026 132798 174039 199197 221330 232052 265596 290065 331995 348078 398394 442660 522117 580130 663990 696156 796788 870195 995985 1044234 1160260 1327980 1740390 1991970 2088468 2610585 3480780 3983940 5221170 10442340 1284001729 2568003458 3852005187 5136006916 6420008645 7704010374 11556015561 12840017290 15408020748 19260025935 23112031122 25680034580 38520051870 46224062244 57780077805 77040103740 115560155610 231120311220