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11021000000032 = 2511461385317627
BaseRepresentation
bin1010000001100000011011…
…0010100100001000100000
31110000121010102212012201101
42200120012302210020200
52421032002000000112
635234551050244144
72215145440221241
oct240300662441040
943017112765641
1011021000000032
113569a86201840
12129bb3a726654
1361c378038b89
142a15c25a8cc8
15141a35106757
hexa0606ca4220

11021000000032 has 96 divisors (see below), whose sum is σ = 23728950108864. Its totient is φ = 4997097907200.

The previous prime is 11021000000027. The next prime is 11021000000119. The reversal of 11021000000032 is 23000000012011.

It is a junction number, because it is equal to n+sod(n) for n = 11020999999955 and 11021000000018.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625225203 + ... + 625242829.

It is an arithmetic number, because the mean of its divisors is an integer number (247176563634).

Almost surely, 211021000000032 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 11021000000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11864475054432).

11021000000032 is an abundant number, since it is smaller than the sum of its proper divisors (12707950108832).

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

11021000000032 is a wasteful number, since it uses less digits than its factorization.

11021000000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21962 (or 21954 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11021000000032 its reverse (23000000012011), we get a palindrome (34021000012043).

The spelling of 11021000000032 in words is "eleven trillion, twenty-one billion, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 461 922 1844 3688 3853 5071 7376 7706 10142 14752 15412 17627 20284 30824 35254 40568 42383 61648 70508 81136 84766 123296 141016 162272 169532 193897 282032 339064 387794 564064 678128 775588 1356256 1551176 1776233 3102352 3552466 6204704 7104932 8126047 14209864 16252094 19538563 28419728 32504188 39077126 56839456 65008376 67916831 78154252 89386517 130016752 135833662 156308504 178773034 260033504 271667324 312617008 357546068 543334648 625234016 715092136 747085141 1086669296 1430184272 1494170282 2173338592 2860368544 2988340564 5976681128 11953362256 23906724512 31309659091 62619318182 125238636364 250477272728 344406250001 500954545456 688812500002 1001909090912 1377625000004 2755250000008 5510500000016 11021000000032