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2111222321312 = 251321146351949
BaseRepresentation
bin11110101110001110101…
…010000001000010100000
321110211102201021011221212
4132232032222001002200
5234042240403240222
64253514313205252
7305350025431346
oct36561652010240
97424381234855
102111222321312
11744400a62aa5
122a1204100828
1312411a06c610
1474280133996
1539db756e6e2
hex1eb8ea810a0

2111222321312 has 96 divisors (see below), whose sum is σ = 4507211923200. Its totient is φ = 967679032320.

The previous prime is 2111222321303. The next prime is 2111222321323. The reversal of 2111222321312 is 2131232221112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40614314 + ... + 40666262.

It is an arithmetic number, because the mean of its divisors is an integer number (46950124200).

Almost surely, 22111222321312 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 2111222321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253605961600).

2111222321312 is an abundant number, since it is smaller than the sum of its proper divisors (2395989601888).

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

2111222321312 is a wasteful number, since it uses less digits than its factorization.

2111222321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52646 (or 52638 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

Adding to 2111222321312 its reverse (2131232221112), we get a palindrome (4242454542424).

The spelling of 2111222321312 in words is "two trillion, one hundred eleven billion, two hundred twenty-two million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 211 416 422 463 844 926 1688 1852 2743 3376 3704 5486 6019 6752 7408 10972 12038 14816 21944 24076 43888 48152 51949 87776 96304 97693 103898 192608 195386 207796 390772 415592 675337 781544 831184 1270009 1350674 1563088 1662368 2540018 2701348 3126176 5080036 5402696 10160072 10805392 10961239 20320144 21610784 21922478 24052387 40640288 43844956 48104774 87689912 96209548 142496107 175379824 192419096 284992214 312681031 350759648 384838192 569984428 625362062 769676384 1139968856 1250724124 2279937712 2501448248 4559875424 5002896496 5075053657 10005792992 10150107314 20300214628 40600429256 65975697541 81200858512 131951395082 162401717024 263902790164 527805580328 1055611160656 2111222321312