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1031211134320 = 245671318811667
BaseRepresentation
bin11110000000110001111…
…10010010110101110000
310122120201212200022210211
433000120332102311300
5113343410022244240
62105422025233504
7134334242005513
oct17003076226560
93576655608724
101031211134320
11368374890084
12147a32632894
1376320553063
1437ca767cd7a
151bc56879bea
hexf018f92d70

1031211134320 has 160 divisors (see below), whose sum is σ = 2456181294336. Its totient is φ = 402526924800.

The previous prime is 1031211134311. The next prime is 1031211134323. The reversal of 1031211134320 is 234311121301.

It is a junction number, because it is equal to n+sod(n) for n = 1031211134291 and 1031211134300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031211134323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618602127 + ... + 618603793.

Almost surely, 21031211134320 is an apocalyptic number.

1031211134320 is a gapful number since it is divisible by the number (10) 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 1031211134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228090647168).

1031211134320 is an abundant number, since it is smaller than the sum of its proper divisors (1424970160016).

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

1031211134320 is a wasteful number, since it uses less digits than its factorization.

1031211134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1031211134320 its reverse (234311121301), we get a palindrome (1265522255621).

The spelling of 1031211134320 in words is "one trillion, thirty-one billion, two hundred eleven million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 131 134 262 268 335 524 536 655 670 881 1048 1072 1310 1340 1667 1762 2096 2620 2680 3334 3524 4405 5240 5360 6668 7048 8335 8777 8810 10480 13336 14096 16670 17554 17620 26672 33340 35108 35240 43885 59027 66680 70216 70480 87770 111689 115411 118054 133360 140432 175540 218377 223378 230822 236108 295135 351080 436754 446756 461644 472216 558445 577055 590270 702160 873508 893512 923288 944432 1091885 1116890 1154110 1180540 1468627 1747016 1787024 1846576 2183770 2233780 2308220 2361080 2937254 3494032 4367540 4467560 4616440 4722160 5874508 7343135 7732537 8735080 8935120 9232880 11749016 14631259 14686270 15465074 17470160 23498032 29262518 29372540 30930148 38662685 58525036 58745080 61860296 73156295 77325370 98398009 117050072 117490160 123720592 146312590 154650740 192390137 196796018 234100144 292625180 309301480 384780274 393592036 491990045 585250360 618602960 769560548 787184072 961950685 983980090 1170500720 1539121096 1574368144 1923901370 1967960180 3078242192 3847802740 3935920360 7695605480 7871840720 12890139179 15391210960 25780278358 51560556716 64450695895 103121113432 128901391790 206242226864 257802783580 515605567160 1031211134320