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20032100312 = 2371134397211
BaseRepresentation
bin10010101010000000…
…011001011111011000
31220201001221010121012
4102222000121133120
5312011204202222
613111433233052
71306262020550
oct225200313730
956631833535
1020032100312
11854a664504
123a70862788
131b732368c3
14d80680160
157c39ac1e2
hex4aa0197d8

20032100312 has 64 divisors (see below), whose sum is σ = 43410470400. Its totient is φ = 8488650240.

The previous prime is 20032100303. The next prime is 20032100317. The reversal of 20032100312 is 21300123002.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20032100317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2774387 + ... + 2781597.

It is an arithmetic number, because the mean of its divisors is an integer number (678288600).

Almost surely, 220032100312 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 20032100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21705235200).

20032100312 is an abundant number, since it is smaller than the sum of its proper divisors (23378370088).

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

20032100312 is a wasteful number, since it uses less digits than its factorization.

20032100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7772 counting only the distinct ones).

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

Adding to 20032100312 its reverse (21300123002), we get a palindrome (41332223314).

The spelling of 20032100312 in words is "twenty billion, thirty-two million, one hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 113 226 439 452 791 878 904 1582 1756 3073 3164 3512 6146 6328 7211 12292 14422 24584 28844 49607 50477 57688 99214 100954 198428 201908 347249 396856 403816 694498 814843 1388996 1629686 2777992 3165629 3259372 5703901 6331258 6518744 11407802 12662516 22159403 22815604 25325032 44318806 45631208 88637612 177275224 357716077 715432154 1430864308 2504012539 2861728616 5008025078 10016050156 20032100312