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1031211332112 = 2431312831288061
BaseRepresentation
bin11110000000110001111…
…11000011001000010000
310122120201220001101010110
433000120333003020100
5113343410100111422
62105422033401320
7134334243461253
oct17003077031020
93576656041113
101031211332112
11368374a05745
12147a32709240
13763205c20b0
1437ca76d109a
151bc568b860c
hexf018fc3210

1031211332112 has 80 divisors (see below), whose sum is σ = 2871121111488. Its totient is φ = 317048240640.

The previous prime is 1031211332101. The next prime is 1031211332143. The reversal of 1031211332112 is 2112331121301.

It is a super-3 number, since 3×10312113321123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156562 + ... + 1444622.

Almost surely, 21031211332112 is an apocalyptic number.

1031211332112 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 1031211332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435560555744).

1031211332112 is an abundant number, since it is smaller than the sum of its proper divisors (1839909779376).

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

1031211332112 is a wasteful number, since it uses less digits than its factorization.

1031211332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289368 (or 1289362 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1031211332112 its reverse (2112331121301), we get a palindrome (3143542453413).

The spelling of 1031211332112 in words is "one trillion, thirty-one billion, two hundred eleven million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1283 2566 3849 5132 7698 10264 15396 16679 20528 30792 33358 50037 61584 66716 100074 133432 200148 266864 400296 800592 1288061 2576122 3864183 5152244 7728366 10304488 15456732 16744793 20608976 30913464 33489586 50234379 61826928 66979172 100468758 133958344 200937516 267916688 401875032 803750064 1652582263 3305164526 4957746789 6610329052 9915493578 13220658104 19830987156 21483569419 26441316208 39661974312 42967138838 64450708257 79323948624 85934277676 128901416514 171868555352 257802833028 343737110704 515605666056 1031211332112