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101010132013212 = 22327489374661103
BaseRepresentation
bin10110111101111001000001…
…000010011001000010011100
3111020122110210202220112222100
4112331321001002121002130
5101214422222243410322
6554455225233245100
730163512143450352
oct2675710102310234
9436573722815870
10101010132013212
112a20417a213604
12b3b4534a03790
1344492a3570b76
141ad2cb8b437d2
15ba278a7bddac
hex5bde4109909c

101010132013212 has 36 divisors (see below), whose sum is σ = 255365261875360. Its totient is φ = 33665547981312.

The previous prime is 101010132013129. The next prime is 101010132013249. The reversal of 101010132013212 is 212310231010101.

101010132013212 is a `hidden beast` number, since 1 + 0 + 10 + 10 + 1 + 320 + 1 + 321 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1010101320132123 (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187060948 + ... + 187600155.

Almost surely, 2101010132013212 is an apocalyptic number.

101010132013212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101010132013212 is an abundant number, since it is smaller than the sum of its proper divisors (154355129862148).

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

101010132013212 is a wasteful number, since it uses less digits than its factorization.

101010132013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374668602 (or 374668597 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101010132013212 its reverse (212310231010101), we get a palindrome (313320363023313).

The spelling of 101010132013212 in words is "one hundred one trillion, ten billion, one hundred thirty-two million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 7489 14978 22467 29956 44934 67401 89868 134802 269604 374661103 749322206 1123983309 1498644412 2247966618 3371949927 4495933236 6743899854 13487799708 2805837000367 5611674000734 8417511001101 11223348001468 16835022002202 25252533003303 33670044004404 50505066006606 101010132013212