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11210210122212 = 223217138113263821
BaseRepresentation
bin1010001100100001010010…
…0101111001100111100100
31110200200111211002022102100
42203020110211321213210
52432132002242402322
635501522140012100
72234624312555433
oct243102445714744
943620454068370
1011210210122212
113632250401042
121310744831030
1363416cb2005a
142aa81167511a
1514690b194dac
hexa32149799e4

11210210122212 has 72 divisors (see below), whose sum is σ = 30025526082552. Its totient is φ = 3514381747200.

The previous prime is 11210210122211. The next prime is 11210210122217. The reversal of 11210210122212 is 21222101201211.

11210210122212 is a `hidden beast` number, since 1 + 121 + 0 + 210 + 122 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2483290615716 + 8726919506496 = 1575846^2 + 2954136^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11210210122211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5786739 + ... + 7477082.

It is an arithmetic number, because the mean of its divisors is an integer number (417021195591).

Almost surely, 211210210122212 is an apocalyptic number.

11210210122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11210210122212 is an abundant number, since it is smaller than the sum of its proper divisors (18815315960340).

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

11210210122212 is a wasteful number, since it uses less digits than its factorization.

11210210122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13265229 (or 13265224 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11210210122212 its reverse (21222101201211), we get a palindrome (32432311323423).

The spelling of 11210210122212 in words is "eleven trillion, two hundred ten billion, two hundred ten million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1381 2762 4143 5524 8286 12429 16572 23477 24858 46954 49716 70431 93908 140862 211293 281724 422586 845172 13263821 26527642 39791463 53055284 79582926 119374389 159165852 225484957 238748778 450969914 477497556 676454871 901939828 1352909742 2029364613 2705819484 4058729226 8117458452 18317336801 36634673602 54952010403 73269347204 109904020806 164856031209 219808041612 311394725617 329712062418 622789451234 659424124836 934184176851 1245578902468 1868368353702 2802552530553 3736736707404 5605105061106 11210210122212