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10020001012 = 2272833173989
BaseRepresentation
bin10010101010011110…
…10001010011110100
3221212022101210100121
421111033101103310
5131010110013022
64334135221324
7503206413640
oct112517212364
927768353317
1010020001012
11428203607a
121b37817844
13c38ba11a8
146b0a8bc20
153d9a0e2c7
hex2553d14f4

10020001012 has 48 divisors (see below), whose sum is σ = 20179313280. Its totient is φ = 4264543872.

The previous prime is 10020001001. The next prime is 10020001039. The reversal of 10020001012 is 21010002001.

10020001012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10020000986 and 10020001004.

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, 2509914 + ... + 2513902.

It is an arithmetic number, because the mean of its divisors is an integer number (420402360).

Almost surely, 210020001012 is an apocalyptic number.

It is an amenable number.

10020001012 is an abundant number, since it is smaller than the sum of its proper divisors (10159312268).

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

10020001012 is a wasteful number, since it uses less digits than its factorization.

10020001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10020001012 its reverse (21010002001), we get a palindrome (31030003013).

The spelling of 10020001012 in words is "ten billion, twenty million, one thousand, twelve".

Divisors: 1 2 4 7 14 28 283 317 566 634 1132 1268 1981 2219 3962 3989 4438 7924 7978 8876 15956 27923 55846 89711 111692 179422 358844 627977 1128887 1255954 1264513 2257774 2511908 2529026 4515548 5058052 7902209 8851591 15804418 17703182 31608836 35406364 357857179 715714358 1431428716 2505000253 5010000506 10020001012