Search a number
-
+
31212222113034 = 23231419371456019
BaseRepresentation
bin1110001100011001010010…
…11010010110010100001010
311002111212012102110112121200
413012030221122112110022
513042340112330104114
6150214410310045030
76401002650342654
oct706145132262412
9132455172415550
1031212222113034
119a44035755606
12360117a049776
1314553b8bb8bb1
1479c972bcd6d4
15391d7c9ab409
hex1c632969650a

31212222113034 has 96 divisors (see below), whose sum is σ = 71586982172160. Its totient is φ = 9812396505600.

The previous prime is 31212222112999. The next prime is 31212222113099. The reversal of 31212222113034 is 43031122221213.

31212222113034 is a `hidden beast` number, since 3 + 12 + 122 + 221 + 1 + 303 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31212222112989 and 31212222113007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20708677 + ... + 22164695.

It is an arithmetic number, because the mean of its divisors is an integer number (745697730960).

Almost surely, 231212222113034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31212222113034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35793491086080).

31212222113034 is an abundant number, since it is smaller than the sum of its proper divisors (40374760059126).

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

31212222113034 is a wasteful number, since it uses less digits than its factorization.

31212222113034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457036 (or 1457033 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31212222113034 its reverse (43031122221213), we get a palindrome (74243344334247).

The spelling of 31212222113034 in words is "thirty-one trillion, two hundred twelve billion, two hundred twenty-two million, one hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 31 41 62 82 93 123 186 246 279 369 558 738 937 1271 1874 2542 2811 3813 5622 7626 8433 11439 16866 22878 29047 38417 58094 76834 87141 115251 174282 230502 261423 345753 522846 691506 1190927 1456019 2381854 2912038 3572781 4368057 7145562 8736114 10718343 13104171 21436686 26208342 45136589 59696779 90273178 119393558 135409767 179090337 270819534 358180674 406229301 537271011 812458602 1074542022 1364289803 1850600149 2728579606 3701200298 4092869409 5551800447 8185738818 11103600894 12278608227 16655401341 24557216454 33310802682 42292983893 55935881923 84585967786 111871763846 126878951679 167807645769 253757903358 335615291538 380636855037 503422937307 761273710074 1006845874614 1734012339613 3468024679226 5202037018839 10404074037678 15606111056517 31212222113034