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11012011032 = 23311198112707
BaseRepresentation
bin10100100000101110…
…11111010000011000
31001102110001010021110
422100113133100120
5140023033323112
65020413340320
7536613356301
oct122027372030
931373033243
1011012011032
114740aa1970
122173a976a0
131066571679
147667197a8
15446b6313c
hex2905df418

11012011032 has 128 divisors (see below), whose sum is σ = 31664102400. Its totient is φ = 3156278400.

The previous prime is 11012011027. The next prime is 11012011063. The reversal of 11012011032 is 23011021011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11012010999 and 11012011017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4066623 + ... + 4069329.

It is an arithmetic number, because the mean of its divisors is an integer number (247375800).

Almost surely, 211012011032 is an apocalyptic number.

11012011032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832051200).

11012011032 is an abundant number, since it is smaller than the sum of its proper divisors (20652091368).

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

11012011032 is a wasteful number, since it uses less digits than its factorization.

11012011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3553 counting only the distinct ones).

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

Adding to 11012011032 its reverse (23011021011), we get a palindrome (34023032043).

The spelling of 11012011032 in words is "eleven billion, twelve million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 811 836 1254 1622 1672 2433 2508 2707 3244 4866 5016 5414 6488 8121 8921 9732 10828 15409 16242 17842 19464 21656 26763 29777 30818 32484 35684 46227 51433 53526 59554 61636 64968 71368 89331 92454 102866 107052 119108 123272 154299 169499 178662 184908 205732 214104 238216 308598 338998 357324 369816 411464 508497 565763 617196 677996 714648 1016994 1131526 1234392 1355992 1697289 2033988 2195377 2263052 3394578 4067976 4390754 4526104 6586131 6789156 8781508 13172262 13578312 17563016 24149147 26344524 41712163 48298294 52689048 72447441 83424326 96596588 125136489 144894882 166848652 193193176 250272978 289789764 333697304 458833793 500545956 579579528 917667586 1001091912 1376501379 1835335172 2753002758 3670670344 5506005516 11012011032