Search a number
-
+
331211202112 = 2672281375857
BaseRepresentation
bin1001101000111011011…
…10011101111001000000
31011122220200022101001201
410310131232131321000
520411310031431422
6412053433310544
732633502523600
oct4643556357100
91148820271051
10331211202112
111185140a840a
1254235b65454
132530510ac3b
1412060394c00
1589377d7727
hex4d1db9de40

331211202112 has 84 divisors (see below), whose sum is σ = 767275769484. Its totient is φ = 141442129920.

The previous prime is 331211202103. The next prime is 331211202121. The reversal of 331211202112 is 211202112133.

It is an interprime number because it is at equal distance from previous prime (331211202103) and next prime (331211202121).

It can be written as a sum of positive squares in 2 ways, for example, as 72887040576 + 258324161536 = 269976^2 + 508256^2 .

It is a super-2 number, since 2×3312112021122 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331211202112.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 693288 + ... + 1069144.

It is an arithmetic number, because the mean of its divisors is an integer number (9134235351).

Almost surely, 2331211202112 is an apocalyptic number.

331211202112 is a gapful number since it is divisible by the number (32) 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 331211202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383637884742).

331211202112 is an abundant number, since it is smaller than the sum of its proper divisors (436064567372).

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

331211202112 is a wasteful number, since it uses less digits than its factorization.

331211202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376164 (or 376147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 331211202112 its reverse (211202112133), we get a palindrome (542413314245).

The spelling of 331211202112 in words is "three hundred thirty-one billion, two hundred eleven million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 281 392 448 562 784 1124 1568 1967 2248 3136 3934 4496 7868 8992 13769 15736 17984 27538 31472 55076 62944 110152 125888 220304 375857 440608 751714 881216 1503428 2630999 3006856 5261998 6013712 10523996 12027424 18416993 21047992 24054848 36833986 42095984 73667972 84191968 105615817 147335944 168383936 211231634 294671888 422463268 589343776 739310719 844926536 1178687552 1478621438 1689853072 2957242876 3379706144 5175175033 5914485752 6759412288 10350350066 11828971504 20700700132 23657943008 41401400264 47315886016 82802800528 165605601056 331211202112