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20011001312 = 2529109197831
BaseRepresentation
bin10010101000101111…
…111010010111100000
31220122121020012012202
4102220233322113200
5311440304020222
613105401112332
71305614463461
oct225057722740
956577205182
1020011001312
118539763515
123a657886a8
131b6ba5a1a3
14d7b94ad68
157c1be0892
hex4a8bfa5e0

20011001312 has 48 divisors (see below), whose sum is σ = 41129272800. Its totient is φ = 9571806720.

The previous prime is 20011001273. The next prime is 20011001347. The reversal of 20011001312 is 21310011002.

It is a junction number, because it is equal to n+sod(n) for n = 20011001293 and 20011001302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2237 + ... + 200067.

It is an arithmetic number, because the mean of its divisors is an integer number (856859850).

Almost surely, 220011001312 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 20011001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20564636400).

20011001312 is an abundant number, since it is smaller than the sum of its proper divisors (21118271488).

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

20011001312 is a wasteful number, since it uses less digits than its factorization.

20011001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197979 (or 197971 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 20011001312 its reverse (21310011002), we get a palindrome (41321012314).

The spelling of 20011001312 in words is "twenty billion, eleven million, one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 109 116 218 232 436 464 872 928 1744 3161 3488 6322 12644 25288 50576 101152 197831 395662 791324 1582648 3165296 5737099 6330592 11474198 21563579 22948396 43127158 45896792 86254316 91793584 172508632 183587168 345017264 625343791 690034528 1250687582 2501375164 5002750328 10005500656 20011001312