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1001322103012 = 2271147591172393
BaseRepresentation
bin11101001001000110111…
…00101100000011100100
310112201120212012012212021
432210203130230003210
5112401201424244022
62044000115432524
7132225460304530
oct16444334540344
93481525165767
101001322103012
1135672724a510
121420908b5744
137356917220a
143666dc7cbc0
151b0a78707c7
hexe92372c0e4

1001322103012 has 96 divisors (see below), whose sum is σ = 2269004451840. Its totient is φ = 375353022720.

The previous prime is 1001322103003. The next prime is 1001322103021. The reversal of 1001322103012 is 2103012231001.

It is an interprime number because it is at equal distance from previous prime (1001322103003) and next prime (1001322103021).

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, 267888 + ... + 1440280.

It is an arithmetic number, because the mean of its divisors is an integer number (23635463040).

Almost surely, 21001322103012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001322103012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134502225920).

1001322103012 is an abundant number, since it is smaller than the sum of its proper divisors (1267682348828).

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

1001322103012 is a wasteful number, since it uses less digits than its factorization.

1001322103012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172521 (or 1172519 counting only the distinct ones).

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

Adding to 1001322103012 its reverse (2103012231001), we get a palindrome (3104334334013).

The spelling of 1001322103012 in words is "one trillion, one billion, three hundred twenty-two million, one hundred three thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 47 59 77 94 118 154 188 236 308 329 413 517 649 658 826 1034 1298 1316 1652 2068 2596 2773 3619 4543 5546 7238 9086 11092 14476 18172 19411 30503 38822 61006 77644 122012 213521 427042 854084 1172393 2344786 4689572 8206751 12896323 16413502 25792646 32827004 51585292 55102471 69171187 90274261 110204942 138342374 180548522 220409884 276684748 361097044 385717297 484198309 606127181 760883057 771434594 968396618 1212254362 1521766114 1542869188 1936793236 2424508724 3043532228 3251045789 4242890267 5326181399 6502091578 8485780534 10652362798 13004183156 16971561068 21304725596 22757320523 35761503679 45514641046 71523007358 91029282092 143046014716 250330525753 500661051506 1001322103012