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131200212 = 2231113101757
BaseRepresentation
bin1111101000111…
…11010011010100
3100010212122212010
413310133103110
5232041401322
621004024220
73152116623
oct764372324
9303778763
10131200212
1168071730
1237b32070
1321248b80
14135d36ba
15b7b920c
hex7d1f4d4

131200212 has 96 divisors (see below), whose sum is σ = 363694464. Its totient is φ = 36288000.

The previous prime is 131200207. The next prime is 131200229. The reversal of 131200212 is 212002131.

131200212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172938 + ... + 173694.

It is an arithmetic number, because the mean of its divisors is an integer number (3788484).

Almost surely, 2131200212 is an apocalyptic number.

131200212 is a gapful number since it is divisible by the number (12) 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 131200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181847232).

131200212 is an abundant number, since it is smaller than the sum of its proper divisors (232494252).

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

131200212 is a wasteful number, since it uses less digits than its factorization.

131200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 131200212 is about 11454.2661048188. The cubic root of 131200212 is about 508.1339107987.

Adding to 131200212 its reverse (212002131), we get a palindrome (343202343).

It can be divided in two parts, 1 and 31200212, that added together give a palindrome (31200213).

The spelling of 131200212 in words is "one hundred thirty-one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 101 132 143 156 202 286 303 404 429 572 606 757 858 1111 1212 1313 1514 1716 2222 2271 2626 3028 3333 3939 4444 4542 5252 6666 7878 8327 9084 9841 13332 14443 15756 16654 19682 24981 28886 29523 33308 39364 43329 49962 57772 59046 76457 86658 99924 108251 118092 152914 173316 216502 229371 305828 324753 433004 458742 649506 841027 917484 993941 1299012 1682054 1987882 2523081 2981823 3364108 3975764 5046162 5963646 10092324 10933351 11927292 21866702 32800053 43733404 65600106 131200212