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1001112011212 = 221771212772287
BaseRepresentation
bin11101001000101101110…
…11010000000111001100
310112201001012212110002111
432210112323100013030
5112400234133324322
62043523212433404
7132220326456145
oct16442673200714
93481035773074
101001112011212
113566296a4425
12142032478864
1373534793641
143664ddd0acc
151b0941c1177
hexe916ed01cc

1001112011212 has 72 divisors (see below), whose sum is σ = 1883793143232. Its totient is φ = 463909501440.

The previous prime is 1001112011201. The next prime is 1001112011227. The reversal of 1001112011212 is 2121102111001.

It is a happy number.

It is a super-2 number, since 2×10011120112122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001112011192 and 1001112011201.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 437739133 + ... + 437741419.

It is an arithmetic number, because the mean of its divisors is an integer number (26163793656).

Almost surely, 21001112011212 is an apocalyptic number.

It is an amenable number.

1001112011212 is a deficient number, since it is larger than the sum of its proper divisors (882681132020).

1001112011212 is a wasteful number, since it uses less digits than its factorization.

1001112011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1001112011212 its reverse (2121102111001), we get a palindrome (3122214122213).

The spelling of 1001112011212 in words is "one trillion, one billion, one hundred twelve million, eleven thousand, two hundred twelve".

Divisors: 1 2 4 17 34 68 71 142 284 1207 1277 2287 2414 2554 4574 4828 5041 5108 9148 10082 20164 21709 38879 43418 77758 85697 86836 90667 155516 162377 171394 181334 324754 342788 362668 649508 1541339 2760409 2920499 3082678 5520818 5840998 6165356 6437357 11041636 11528767 11681996 12874714 23057534 25749428 46115068 49648483 99296966 109435069 195989039 198593932 207355429 218870138 391978078 414710858 437740276 783956156 829421716 3525042293 7050084586 14100169172 14722235459 29444470918 58888941836 250278002803 500556005606 1001112011212