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1211102300320 = 255112369716921
BaseRepresentation
bin10001100111111011010…
…100101000100010100000
311021210001210122101212121
4101213323110220202200
5124320314142102240
62324212301234024
7153333146461363
oct21477324504240
94253053571777
101211102300320
11427697747700
12176877862914
138a28b77cb93
1442890c280da
152178473604a
hex119fb5288a0

1211102300320 has 144 divisors (see below), whose sum is σ = 3146024050344. Its totient is φ = 440255692800.

The previous prime is 1211102300281. The next prime is 1211102300329. The reversal of 1211102300320 is 230032011121.

It can be written as a sum of positive squares in 4 ways, for example, as 833649345936 + 377452954384 = 913044^2 + 614372^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1211102300294 and 1211102300303.

It is not an unprimeable number, because it can be changed into a prime (1211102300329) 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, 71565460 + ... + 71582380.

Almost surely, 21211102300320 is an apocalyptic number.

1211102300320 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 1211102300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573012025172).

1211102300320 is an abundant number, since it is smaller than the sum of its proper divisors (1934921750024).

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

1211102300320 is a wasteful number, since it uses less digits than its factorization.

1211102300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20655 (or 20636 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1211102300320 its reverse (230032011121), we get a palindrome (1441134311441).

The spelling of 1211102300320 in words is "one trillion, two hundred eleven billion, one hundred two million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3697 3872 4840 7394 9680 14788 16921 18485 19360 29576 33842 36970 40667 59152 67684 73940 81334 84605 118304 135368 147880 162668 169210 186131 203335 270736 295760 325336 338420 372262 406670 447337 541472 591520 650672 676840 744524 813340 894674 930655 1301344 1353680 1489048 1626680 1789348 1861310 2047441 2236685 2707360 2978096 3253360 3578696 3722620 4094882 4473370 5956192 6506720 7157392 7445240 8189764 8946740 10237205 14314784 14890480 16379528 17893480 20474410 29780960 32759056 35786960 40948820 62556937 65518112 71573920 81897640 125113874 163795280 250227748 312784685 327590560 500455496 625569370 688126307 1000910992 1251138740 1376252614 2001821984 2502277480 2752505228 3440631535 5004554960 5505010456 6881263070 7569389377 10009109920 11010020912 13762526140 15138778754 22020041824 27525052280 30277557508 37846946885 55050104560 60555115016 75693893770 110100209120 121110230032 151387787540 242220460064 302775575080 605551150160 1211102300320