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1213310431110 = 235172237159023
BaseRepresentation
bin10001101001111110111…
…011111110111110000110
311021222202200122001212110
4101221332323332332012
5124334324432243420
62325215341201450
7153441651333441
oct21517673767606
94258680561773
101213310431110
1142862011aa88
12177193260286
138a55109a34b
1442a201c0658
152186350bee0
hex11a7eefef86

1213310431110 has 96 divisors (see below), whose sum is σ = 3094668928512. Its totient is φ = 304383536640.

The previous prime is 1213310431087. The next prime is 1213310431111. The reversal of 1213310431110 is 111340133121.

It is a super-3 number, since 3×12133104311103 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213310431111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20527059 + ... + 20586081.

It is an arithmetic number, because the mean of its divisors is an integer number (32236134672).

Almost surely, 21213310431110 is an apocalyptic number.

1213310431110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213310431110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547334464256).

1213310431110 is an abundant number, since it is smaller than the sum of its proper divisors (1881358497402).

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

1213310431110 is a wasteful number, since it uses less digits than its factorization.

1213310431110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61438 (or 61421 counting only the distinct ones).

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

Adding to 1213310431110 its reverse (111340133121), we get a palindrome (1324650564231).

The spelling of 1213310431110 in words is "one trillion, two hundred thirteen billion, three hundred ten million, four hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2371 2890 4335 4742 7113 8670 11855 14226 23710 35565 40307 59023 71130 80614 118046 120921 177069 201535 241842 295115 354138 403070 590230 604605 685219 885345 1003391 1209210 1370438 1770690 2006782 2055657 3010173 3426095 4111314 5016955 6020346 6852190 10033910 10278285 15050865 17057647 20556570 30101730 34115294 51172941 85288235 102345882 139943533 170576470 255864705 279887066 419830599 511729410 699717665 839661198 1399435330 2099152995 2379040061 4198305990 4758080122 7137120183 11895200305 14274240366 23790400610 35685600915 40443681037 71371201830 80887362074 121331043111 202218405185 242662086222 404436810370 606655215555 1213310431110