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20102030312 = 23713191144569
BaseRepresentation
bin10010101110001011…
…001010001111101000
31220212221111221112012
4102232023022033220
5312132104432222
613122412135052
71311101303240
oct225613121750
956787457465
1020102030312
1185860879a1
123a90167488
131b8487c5c0
14d89a84b20
157c9bc21e2
hex4ae2ca3e8

20102030312 has 64 divisors (see below), whose sum is σ = 46632499200. Its totient is φ = 7910760960.

The previous prime is 20102030309. The next prime is 20102030317. The reversal of 20102030312 is 21303020102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20102030317) 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 15 ways as a sum of consecutive naturals, for example, 66764 + ... + 211332.

It is an arithmetic number, because the mean of its divisors is an integer number (728632800).

Almost surely, 220102030312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23316249600).

20102030312 is an abundant number, since it is smaller than the sum of its proper divisors (26530468888).

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

20102030312 is a wasteful number, since it uses less digits than its factorization.

20102030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144786 (or 144782 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20102030312 its reverse (21303020102), we get a palindrome (41405050414).

The spelling of 20102030312 in words is "twenty billion, one hundred two million, thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 191 364 382 728 764 1337 1528 2483 2674 4966 5348 9932 10696 17381 19864 34762 69524 139048 144569 289138 578276 1011983 1156552 1879397 2023966 3758794 4047932 7517588 8095864 13155779 15035176 26311558 27612679 52623116 55225358 105246232 110450716 193288753 220901432 358964827 386577506 717929654 773155012 1435859308 1546310024 2512753789 2871718616 5025507578 10051015156 20102030312