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131222028 = 223710115467
BaseRepresentation
bin1111101001001…
…00101000001100
3100010220202210010
413310210220030
5232043101103
621004313220
73152240340
oct764445014
9303822703
10131222028
1168087063
1237b42810
1321255a92
14135db620
15b7c0903
hex7d24a0c

131222028 has 48 divisors (see below), whose sum is σ = 353412864. Its totient is φ = 37118400.

The previous prime is 131222027. The next prime is 131222029. The reversal of 131222028 is 820222131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131222027) and next prime (131222029).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131221995 and 131222013.

It is not an unprimeable number, because it can be changed into a prime (131222023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751 + ... + 16217.

It is an arithmetic number, because the mean of its divisors is an integer number (7362768).

Almost surely, 2131222028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131222028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176706432).

131222028 is an abundant number, since it is smaller than the sum of its proper divisors (222190836).

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

131222028 is a wasteful number, since it uses less digits than its factorization.

131222028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15582 (or 15580 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 131222028 is about 11455.2183741734. The cubic root of 131222028 is about 508.1620734438.

Adding to 131222028 its reverse (820222131), we get a palindrome (951444159).

The spelling of 131222028 in words is "one hundred thirty-one million, two hundred twenty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2828 4242 8484 15467 30934 46401 61868 92802 108269 185604 216538 324807 433076 649614 1299228 1562167 3124334 4686501 6248668 9373002 10935169 18746004 21870338 32805507 43740676 65611014 131222028