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20011011012 = 223313911231187
BaseRepresentation
bin10010101000101111…
…111100101111000100
31220122121020200112000
4102220233330233010
5311440304323022
613105401225300
71305614533656
oct225057745704
956577220460
1020011011012
11853976a833
123a65792230
131b6ba61725
14d7b9506d6
157c1be36ac
hex4a8bfcbc4

20011011012 has 96 divisors (see below), whose sum is σ = 52344230400. Its totient is φ = 6610877856.

The previous prime is 20011011001. The next prime is 20011011073. The reversal of 20011011012 is 21011011002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20011010985 and 20011011003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16857883 + ... + 16859069.

It is an arithmetic number, because the mean of its divisors is an integer number (545252400).

Almost surely, 220011011012 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 20011011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26172115200).

20011011012 is an abundant number, since it is smaller than the sum of its proper divisors (32333219388).

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

20011011012 is a wasteful number, since it uses less digits than its factorization.

20011011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20011011012 its reverse (21011011002), we get a palindrome (41022022014).

The spelling of 20011011012 in words is "twenty billion, eleven million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 834 1123 1187 1251 1668 2246 2374 2502 3369 3561 3753 4492 4748 5004 6738 7122 7506 10107 10683 13476 14244 15012 20214 21366 30321 32049 40428 42732 60642 64098 121284 128196 156097 164993 312194 329986 468291 494979 624388 659972 936582 989958 1333001 1404873 1484937 1873164 1979916 2666002 2809746 2969874 3999003 4214619 4454811 5332004 5619492 5939748 7998006 8429238 8909622 11997009 15996012 16858476 17819244 23994018 35991027 47988036 71982054 143964108 185287139 370574278 555861417 741148556 1111722834 1667584251 2223445668 3335168502 5002752753 6670337004 10005505506 20011011012