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10011022212012 = 22347313379149629
BaseRepresentation
bin1001000110101101111101…
…1011000011101110101100
31022110001012100110122012220
42101223133123003232230
52303010033141241022
633143000005155340
72052162314531223
oct221533733035654
938401170418186
1010011022212012
11320a718063048
1211582530bbb50
1357805c85c073
14268770d41cba
1512562291d85c
hex91adf6c3bac

10011022212012 has 96 divisors (see below), whose sum is σ = 23995576550400. Its totient is φ = 3246961116672.

The previous prime is 10011022211963. The next prime is 10011022212259. The reversal of 10011022212012 is 21021222011001.

It is a junction number, because it is equal to n+sod(n) for n = 10011022211982 and 10011022212000.

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, 66830814 + ... + 66980442.

It is an arithmetic number, because the mean of its divisors is an integer number (249953922400).

Almost surely, 210011022212012 is an apocalyptic number.

10011022212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011022212012 is an abundant number, since it is smaller than the sum of its proper divisors (13984554338388).

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

10011022212012 is a wasteful number, since it uses less digits than its factorization.

10011022212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150375 (or 150373 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10011022212012 its reverse (21021222011001), we get a palindrome (31032244223013).

The spelling of 10011022212012 in words is "ten trillion, eleven billion, twenty-two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 313 379 564 626 758 939 1137 1252 1516 1878 2274 3756 4548 14711 17813 29422 35626 44133 53439 58844 71252 88266 106878 118627 149629 176532 213756 237254 299258 355881 448887 474508 598516 711762 897774 1423524 1795548 5575469 7032563 11150938 14065126 16726407 21097689 22301876 28130252 33452814 42195378 46833877 56709391 66905628 84390756 93667754 113418782 140501631 170128173 187335508 226837564 281003262 340256346 562006524 680512692 2201192219 2665341377 4402384438 5330682754 6603576657 7996024131 8804768876 10661365508 13207153314 15992048262 17750039383 26414306628 31984096524 35500078766 53250118149 71000157532 106500236298 213000472596 834251851001 1668503702002 2502755553003 3337007404004 5005511106006 10011022212012