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3131120214 = 232172896763
BaseRepresentation
bin1011101010100001…
…0001101001010110
322002012202101110100
42322220101221112
522403031321324
61234410434530
7140410040235
oct27250215126
98065671410
103131120214
111367487a62
12734732a46
133ab902b71
14219bb8b1c
15134d444c9
hexbaa11a56

3131120214 has 72 divisors (see below), whose sum is σ = 7288683480. Its totient is φ = 971131392.

The previous prime is 3131120189. The next prime is 3131120221. The reversal of 3131120214 is 4120211313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 459597 + ... + 466359.

It is an arithmetic number, because the mean of its divisors is an integer number (101231715).

Almost surely, 23131120214 is an apocalyptic number.

3131120214 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131120214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644341740).

3131120214 is an abundant number, since it is smaller than the sum of its proper divisors (4157563266).

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

3131120214 is a wasteful number, since it uses less digits than its factorization.

3131120214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3131120214 is about 55956.4135198102. The cubic root of 3131120214 is about 1462.9626794705.

Adding to 3131120214 its reverse (4120211313), we get a palindrome (7251331527).

The spelling of 3131120214 in words is "three billion, one hundred thirty-one million, one hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 89 102 153 178 267 289 306 534 578 801 867 1513 1602 1734 2601 3026 4539 5202 6763 9078 13526 13617 20289 25721 27234 40578 51442 60867 77163 114971 121734 154326 229942 231489 344913 462978 601907 689826 1034739 1203814 1805721 1954507 2069478 3611442 3909014 5417163 5863521 10232419 10834326 11727042 17590563 20464838 30697257 35181126 61394514 92091771 173951123 184183542 347902246 521853369 1043706738 1565560107 3131120214