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31343312211104 = 251773981180447
BaseRepresentation
bin1110010000001101011101…
…11111011000110010100000
311002222101120022121111200002
413020012232333120302200
513102012100411223404
6150354530245515132
76413323331652545
oct710065677306240
9132871508544602
1031343312211104
119a94695696533
123622663a12aa8
13146487a88536a
147a504ad7abcc
153954a139bc1e
hex1c81aefd8ca0

31343312211104 has 96 divisors (see below), whose sum is σ = 66239579298816. Its totient is φ = 14546078392320.

The previous prime is 31343312211103. The next prime is 31343312211221. The reversal of 31343312211104 is 40111221334313.

It is a super-2 number, since 2×313433122111042 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31343312211103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389574209 + ... + 389654655.

It is an arithmetic number, because the mean of its divisors is an integer number (689995617696).

Almost surely, 231343312211104 is an apocalyptic number.

31343312211104 is a gapful number since it is divisible by the number (34) 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 31343312211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33119789649408).

31343312211104 is an abundant number, since it is smaller than the sum of its proper divisors (34896267087712).

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

31343312211104 is a wasteful number, since it uses less digits than its factorization.

31343312211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90358 (or 90350 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 31343312211104 its reverse (40111221334313), we get a palindrome (71454533545417).

It can be divided in two parts, 3134331 and 2211104, that added together give a palindrome (5345435).

The spelling of 31343312211104 in words is "thirty-one trillion, three hundred forty-three billion, three hundred twelve million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 73 136 146 272 292 544 584 1168 1241 2336 2482 4964 9811 9928 19622 19856 39244 39712 78488 80447 156976 160894 166787 313952 321788 333574 643576 667148 716203 1287152 1334296 1367599 1432406 2574304 2668592 2735198 2864812 5337184 5470396 5729624 5872631 10940792 11459248 11745262 12175451 21881584 22918496 23490524 24350902 43763168 46981048 48701804 93962096 97403608 99834727 187924192 194807216 199669454 389614432 399338908 789265517 798677816 1578531034 1597355632 3157062068 3194711264 6314124136 12628248272 13417513789 25256496544 26835027578 53670055156 57616382741 107340110312 115232765482 214680220624 230465530964 429360441248 460931061928 921862123856 979478506597 1843724247712 1958957013194 3917914026388 7835828052776 15671656105552 31343312211104