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10103113212012 = 2232280642033667
BaseRepresentation
bin1001001100000101000001…
…1110010110000001101100
31022202211220022221011002200
42103001100132112001230
52311012133440241022
633253150043021500
72061632364235542
oct223012036260154
938684808834080
1010103113212012
113245785025407
12117207420a890
1358394793a842
1426cdc9825d92
15127c12635bac
hex9305079606c

10103113212012 has 18 divisors (see below), whose sum is σ = 25538425063788. Its totient is φ = 3367704403992.

The previous prime is 10103113211959. The next prime is 10103113212013. The reversal of 10103113212012 is 21021231130101.

10103113212012 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 311 + 321 + 20 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×101031132120123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 (10103113212013) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 140321016798 + ... + 140321016869.

Almost surely, 210103113212012 is an apocalyptic number.

10103113212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10103113212012 is an abundant number, since it is smaller than the sum of its proper divisors (15435311851776).

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

10103113212012 is a wasteful number, since it uses less digits than its factorization.

10103113212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280642033677 (or 280642033672 counting only the distinct ones).

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

Adding to 10103113212012 its reverse (21021231130101), we get a palindrome (31124344342113).

The spelling of 10103113212012 in words is "ten trillion, one hundred three billion, one hundred thirteen million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 280642033667 561284067334 841926101001 1122568134668 1683852202002 2525778303003 3367704404004 5051556606006 10103113212012