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1135321135312 = 247213131850331
BaseRepresentation
bin10000100001010110011…
…010011011100011010000
311000112110111000100111111
4100201112122123203100
5122100114202312222
62225320452023104
7145011213265300
oct20412632334320
94015414010444
101135321135312
113a853a201811
12164048901a94
13830a26b9b40
143cd424c9600
151e7eb817777
hex1085669b8d0

1135321135312 has 120 divisors (see below), whose sum is σ = 2776687718112. Its totient is φ = 445708972800.

The previous prime is 1135321135307. The next prime is 1135321135337. The reversal of 1135321135312 is 2135311235311.

It is a super-2 number, since 2×11353211353122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909987 + ... + 1760317.

Almost surely, 21135321135312 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 1135321135312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388343859056).

1135321135312 is an abundant number, since it is smaller than the sum of its proper divisors (1641366582800).

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

1135321135312 is a wasteful number, since it uses less digits than its factorization.

1135321135312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850497 (or 850484 counting only the distinct ones).

The product of its digits is 8100, while the sum is 31.

Subtracting 1135321135312 from its reverse (2135311235311), we obtain a palindrome (999990099999).

The spelling of 1135321135312 in words is "one trillion, one hundred thirty-five billion, three hundred twenty-one million, one hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 131 182 196 208 262 364 392 524 637 728 784 917 1048 1274 1456 1703 1834 2096 2548 3406 3668 5096 6419 6812 7336 10192 11921 12838 13624 14672 23842 25676 27248 47684 51352 83447 95368 102704 166894 190736 333788 667576 850331 1335152 1700662 3401324 5952317 6802648 11054303 11904634 13605296 22108606 23809268 41666219 44217212 47618536 77380121 83332438 88434424 95237072 111393361 154760242 166664876 176868848 222786722 309520484 333329752 445573444 541660847 619040968 666659504 779753527 891146888 1083321694 1238081936 1448113693 1559507054 1782293776 2166643388 2896227386 3119014108 4333286776 5458274689 5792454772 6238028216 8666573552 10136795851 10916549378 11584909544 12476056432 20273591702 21833098756 23169819088 40547183404 43666197512 70957570957 81094366808 87332395024 141915141914 162188733616 283830283828 567660567656 1135321135312