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231310742220 = 2232541151207569
BaseRepresentation
bin1101011101101100110…
…0011101001011001100
3211010001102222012011200
43113123030131023030
512242211022222340
6254132423545500
722466044603515
oct3273314351314
9733042865150
10231310742220
118a10997a268
12389b55bb290
1318a7411088c
14b2a4645a0c
15603c1b1330
hex35db31d2cc

231310742220 has 144 divisors (see below), whose sum is σ = 723519276480. Its totient is φ = 59779584000.

The previous prime is 231310742189. The next prime is 231310742227. The reversal of 231310742220 is 22247013132.

231310742220 is a `hidden beast` number, since 231 + 3 + 1 + 0 + 7 + 422 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (231310742227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010596 + ... + 1218164.

It is an arithmetic number, because the mean of its divisors is an integer number (5024439420).

Almost surely, 2231310742220 is an apocalyptic number.

231310742220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231310742220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361759638240).

231310742220 is an abundant number, since it is smaller than the sum of its proper divisors (492208534260).

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

231310742220 is a wasteful number, since it uses less digits than its factorization.

231310742220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207776 (or 207771 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 231310742220 its reverse (22247013132), we get a palindrome (253557755352).

The spelling of 231310742220 in words is "two hundred thirty-one billion, three hundred ten million, seven hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 151 164 180 205 246 302 369 410 453 492 604 615 738 755 820 906 1230 1359 1476 1510 1812 1845 2265 2460 2718 3020 3690 4530 5436 6191 6795 7380 9060 12382 13590 18573 24764 27180 30955 37146 55719 61910 74292 92865 111438 123820 185730 207569 222876 278595 371460 415138 557190 622707 830276 1037845 1114380 1245414 1868121 2075690 2490828 3113535 3736242 4151380 6227070 7472484 8510329 9340605 12454140 17020658 18681210 25530987 31342919 34041316 37362420 42551645 51061974 62685838 76592961 85103290 94028757 102123948 125371676 127654935 153185922 156714595 170206580 188057514 255309870 282086271 306371844 313429190 376115028 382964805 470143785 510619740 564172542 626858380 765929610 940287570 1128345084 1285059679 1410431355 1531859220 1880575140 2570119358 2820862710 3855179037 5140238716 5641725420 6425298395 7710358074 11565537111 12850596790 15420716148 19275895185 23131074222 25701193580 38551790370 46262148444 57827685555 77103580740 115655371110 231310742220