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10735223212 = 22721910092857
BaseRepresentation
bin10011111111101111…
…01000000110101100
31000201011012211202201
421333313220012230
5133441204120322
64533125031244
7530012614600
oct117767500654
930634184681
1010735223212
1146098320aa
1220b7255524
1310211100ac
1473ba69500
1542c6dbd27
hex27fde81ac

10735223212 has 72 divisors (see below), whose sum is σ = 23034908400. Its totient is φ = 4352818176.

The previous prime is 10735223207. The next prime is 10735223221. The reversal of 10735223212 is 21232253701.

It is a super-2 number, since 2×107352232122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3756088 + ... + 3758944.

Almost surely, 210735223212 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 10735223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11517454200).

10735223212 is an abundant number, since it is smaller than the sum of its proper divisors (12299685188).

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

10735223212 is a wasteful number, since it uses less digits than its factorization.

10735223212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 10735223212 its reverse (21232253701), we get a palindrome (31967476913).

The spelling of 10735223212 in words is "ten billion, seven hundred thirty-five million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1009 1862 2018 2857 3724 4036 5714 7063 11428 14126 19171 19999 28252 38342 39998 49441 54283 76684 79996 98882 108566 134197 139993 197764 217132 268394 279986 379981 536788 559972 759962 939379 1519924 1878758 2659867 2882713 3757516 5319734 5765426 10639468 11530852 20178991 40357982 54771547 80715964 109543094 141252937 219086188 282505874 383400829 565011748 766801658 1533603316 2683805803 5367611606 10735223212