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1020103121412 = 223228336197817
BaseRepresentation
bin11101101100000101110…
…00100101101000000100
310121112001201222210201100
432312002320211220010
5113203132344341122
62100343502100100
7133462051315314
oct16660270455004
93545051883640
101020103121412
11363694688621
1214585257a630
137527013a95b
14375322d3444
151b8065a1aac
hexed82e25a04

1020103121412 has 18 divisors (see below), whose sum is σ = 2578594001438. Its totient is φ = 340034373792.

The previous prime is 1020103121377. The next prime is 1020103121431. The reversal of 1020103121412 is 2141213010201.

1020103121412 is a `hidden beast` number, since 1 + 0 + 201 + 0 + 31 + 21 + 412 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1013996636676 + 6106484736 = 1006974^2 + 78144^2 .

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

It is a super-2 number, since 2×10201031214122 (a number of 25 digits) contains 22 as substring.

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

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 5 ways as a sum of consecutive naturals, for example, 14168098873 + ... + 14168098944.

Almost surely, 21020103121412 is an apocalyptic number.

1020103121412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020103121412 is an abundant number, since it is smaller than the sum of its proper divisors (1558490880026).

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

1020103121412 is a wasteful number, since it uses less digits than its factorization.

1020103121412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28336197827 (or 28336197822 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1020103121412 its reverse (2141213010201), we get a palindrome (3161316131613).

The spelling of 1020103121412 in words is "one trillion, twenty billion, one hundred three million, one hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 28336197817 56672395634 85008593451 113344791268 170017186902 255025780353 340034373804 510051560706 1020103121412