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1001022100212 = 223269827374977
BaseRepresentation
bin11101001000100011001…
…00010001001011110100
310112200210221200111101110
432210101210101023310
5112400043124201322
62043510241355020
7132215155314021
oct16442144211364
93480727614343
101001022100212
11356592973a12
12142008338a70
137351bc73074
14366420a8548
151b08b360c0c
hexe9119112f4

1001022100212 has 48 divisors (see below), whose sum is σ = 2347242287040. Its totient is φ = 332030748672.

The previous prime is 1001022100163. The next prime is 1001022100223. The reversal of 1001022100212 is 2120012201001.

It is a super-2 number, since 2×10010221002122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 2482068 + ... + 2857044.

It is an arithmetic number, because the mean of its divisors is an integer number (48900880980).

Almost surely, 21001022100212 is an apocalyptic number.

1001022100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001022100212 is an abundant number, since it is smaller than the sum of its proper divisors (1346220186828).

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

1001022100212 is a wasteful number, since it uses less digits than its factorization.

1001022100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376080 (or 376078 counting only the distinct ones).

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

Adding to 1001022100212 its reverse (2120012201001), we get a palindrome (3121034301213).

The spelling of 1001022100212 in words is "one trillion, one billion, twenty-two million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 269 538 807 827 1076 1614 1654 2481 3228 3308 4962 9924 222463 374977 444926 667389 749954 889852 1124931 1334778 1499908 2249862 2669556 4499724 100868813 201737626 302606439 310105979 403475252 605212878 620211958 930317937 1210425756 1240423916 1860635874 3721271748 83418508351 166837016702 250255525053 333674033404 500511050106 1001022100212