Search a number
31141000 = 23531119149
BaseRepresentation
bin111011011001…
…0110010001000
32011121010102101
41312302302020
530433003000
63031243144
7525460042
oct166626210
964533371
1031141000
111663a770
12a5194b4
1365b4437
1441c8a92
152b01e6a
hex1db2c88

31141000 has 128 divisors (see below), whose sum is σ = 84240000. Its totient is φ = 10656000.

The previous prime is 31140979. The next prime is 31141001. The reversal of 31141000 is 14113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31141001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208926 + ... + 209074.

It is an arithmetic number, because the mean of its divisors is an integer number (658125).

Almost surely, 231141000 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 31141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42120000).

31141000 is an abundant number, since it is smaller than the sum of its proper divisors (53099000).

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

31141000 is a wasteful number, since it uses less digits than its factorization.

31141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 31141000 is about 5580.4121711573. The cubic root of 31141000 is about 314.6136188065.

Adding to 31141000 its reverse (14113), we get a palindrome (31155113).

It can be divided in two parts, 3114 and 1000, that added together give a palindrome (4114).

The spelling of 31141000 in words is "thirty-one million, one hundred forty-one thousand".