Search a number
-
+
10001012002212 = 22371119569663477
BaseRepresentation
bin1001000110001000101011…
…0001001000110110100100
31022102002100201111021212210
42101202022301020312210
52302324033033032322
633134222415443420
72051356254254130
oct221421261106644
938362321437783
1010001012002212
113206450605290
12115631a826570
13577125a086ba
142680a16c23c0
15125238be570c
hex9188ac48da4

10001012002212 has 96 divisors (see below), whose sum is σ = 30625108577280. Its totient is φ = 2460946216320.

The previous prime is 10001012002181. The next prime is 10001012002249. The reversal of 10001012002212 is 21220021010001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 284814183 + ... + 284849294.

It is an arithmetic number, because the mean of its divisors is an integer number (319011547680).

Almost surely, 210001012002212 is an apocalyptic number.

10001012002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001012002212 is an abundant number, since it is smaller than the sum of its proper divisors (20624096575068).

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

10001012002212 is a wasteful number, since it uses less digits than its factorization.

10001012002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569663521 (or 569663519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001012002212 its reverse (21220021010001), we get a palindrome (31221033012213).

The spelling of 10001012002212 in words is "ten trillion, one billion, twelve million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 4389 5852 8778 17556 569663477 1139326954 1708990431 2278653908 3417980862 3987644339 6266298247 6835961724 7975288678 10823606063 11962933017 12532596494 15950577356 18798894741 21647212126 23925866034 25065192988 32470818189 37597789482 43294424252 43864087729 47851732068 64941636378 75195578964 75765242441 87728175458 119059666693 129883272756 131592263187 151530484882 175456350916 227295727323 238119333386 263184526374 303060969764 357179000079 454591454646 476238666772 526369052748 714358000158 833417666851 909182909292 1428716000316 1666835333702 2500253000553 3333670667404 5000506001106 10001012002212