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1001224322340 = 2235113741000177
BaseRepresentation
bin11101001000111011001…
…11101011110100100100
310112201100001012102222220
432210131213223310210
5112401001411303330
62043542303552340
7132223162214634
oct16443547536444
93481301172886
101001224322340
11356687034440
12142063bbb6b0
1373551b27928
1436660ca86c4
151b09dea8710
hexe91d9ebd24

1001224322340 has 96 divisors (see below), whose sum is σ = 3140941636224. Its totient is φ = 236161013760.

The previous prime is 1001224322327. The next prime is 1001224322419. The reversal of 1001224322340 is 432234221001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001224322340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20475669 + ... + 20524508.

It is an arithmetic number, because the mean of its divisors is an integer number (32718142044).

Almost surely, 21001224322340 is an apocalyptic number.

1001224322340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001224322340 is an abundant number, since it is smaller than the sum of its proper divisors (2139717313884).

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

1001224322340 is a wasteful number, since it uses less digits than its factorization.

1001224322340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41000237 (or 41000235 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1001224322340 its reverse (432234221001), we get a palindrome (1433458543341).

The spelling of 1001224322340 in words is "one trillion, one billion, two hundred twenty-four million, three hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 41000177 82000354 123000531 164000708 205000885 246001062 410001770 451001947 492002124 615002655 820003540 902003894 1230005310 1353005841 1517006549 1804007788 2255009735 2460010620 2706011682 3034013098 4510019470 4551019647 5412023364 6068026196 6765029205 7585032745 9020038940 9102039294 13530058410 15170065490 16687072039 18204078588 22755098235 27060116820 30340130980 33374144078 45510196470 50061216117 66748288156 83435360195 91020392940 100122432234 166870720390 200244864468 250306080585 333741440780 500612161170 1001224322340