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31132323210 = 235172315531709
BaseRepresentation
bin11100111111101000…
…011000110110001010
32222100122221212210210
4130333220120312022
51002224333320320
622145121421550
72151326244462
oct347750306612
988318855723
1031132323210
111222642623a
12604a19a8b6
132c21b52331
14171499cba2
15c232470e0
hex73fa18d8a

31132323210 has 128 divisors (see below), whose sum is σ = 82653903360. Its totient is φ = 7464697856.

The previous prime is 31132323179. The next prime is 31132323241. The reversal of 31132323210 is 1232323113.

It is an interprime number because it is at equal distance from previous prime (31132323179) and next prime (31132323241).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18215836 + ... + 18217544.

It is an arithmetic number, because the mean of its divisors is an integer number (645733620).

Almost surely, 231132323210 is an apocalyptic number.

31132323210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31132323210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41326951680).

31132323210 is an abundant number, since it is smaller than the sum of its proper divisors (51521580150).

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

31132323210 is a wasteful number, since it uses less digits than its factorization.

31132323210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31132323210 its reverse (1232323113), we get a palindrome (32364646323).

The spelling of 31132323210 in words is "thirty-one billion, one hundred thirty-two million, three hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 510 690 782 1173 1553 1709 1955 2346 3106 3418 3910 4659 5127 5865 7765 8545 9318 10254 11730 15530 17090 23295 25635 26401 29053 35719 39307 46590 51270 52802 58106 71438 78614 79203 87159 107157 117921 132005 145265 158406 174318 178595 196535 214314 235842 264010 290530 357190 393070 396015 435795 535785 589605 607223 668219 792030 871590 1071570 1179210 1214446 1336438 1821669 2004657 2654077 3036115 3341095 3643338 4009314 5308154 6072230 6682190 7962231 9108345 10023285 13270385 15924462 18216690 20046570 26540770 39811155 45119309 61043771 79622310 90238618 122087542 135357927 183131313 225596545 270715854 305218855 366262626 451193090 610437710 676789635 915656565 1037744107 1353579270 1831313130 2075488214 3113232321 5188720535 6226464642 10377441070 15566161605 31132323210