Search a number
-
+
331212102 = 231347167541
BaseRepresentation
bin10011101111011…
…110010101000110
3212002020022120220
4103233132111012
51134242241402
652511005210
711131153644
oct2357362506
9762208526
10331212102
1115aa62611
1292b09806
13538086c0
1431dba194
151e126dbc
hex13bde546

331212102 has 64 divisors (see below), whose sum is σ = 734275584. Its totient is φ = 98962560.

The previous prime is 331212097. The next prime is 331212107. The reversal of 331212102 is 201212133.

It is an interprime number because it is at equal distance from previous prime (331212097) and next prime (331212107).

It is a super-2 number, since 2×3312121022 = 219402913022516808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331212107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611952 + ... + 612492.

It is an arithmetic number, because the mean of its divisors is an integer number (11473056).

Almost surely, 2331212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367137792).

331212102 is an abundant number, since it is smaller than the sum of its proper divisors (403063482).

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

331212102 is a wasteful number, since it uses less digits than its factorization.

331212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 331212102 is about 18199.2335552902. The cubic root of 331212102 is about 691.8873637493.

Adding to 331212102 its reverse (201212133), we get a palindrome (532424235).

The spelling of 331212102 in words is "three hundred thirty-one million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 167 282 334 501 541 611 1002 1082 1222 1623 1833 2171 3246 3666 4342 6513 7033 7849 13026 14066 15698 21099 23547 25427 42198 47094 50854 76281 90347 102037 152562 180694 204074 271041 306111 330551 542082 612222 661102 991653 1174511 1983306 2349022 3523533 4246309 7047066 8492618 12738927 25477854 55202017 110404034 165606051 331212102