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121131444 = 22376721523
BaseRepresentation
bin1110011100001…
…01000110110100
322102221010002210
413032011012310
5222002201234
620004133420
73000412620
oct716050664
9272833083
10121131444
1162414935
1234697270
131c131c15
1412132180
15a97abe9
hex73851b4

121131444 has 48 divisors (see below), whose sum is σ = 327853568. Its totient is φ = 34090848.

The previous prime is 121131433. The next prime is 121131481. The reversal of 121131444 is 444131121.

121131444 = 1822 + 1832 + ... + 7172.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121131444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5134 + ... + 16389.

Almost surely, 2121131444 is an apocalyptic number.

121131444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

121131444 is an abundant number, since it is smaller than the sum of its proper divisors (206722124).

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

121131444 is a wasteful number, since it uses less digits than its factorization.

121131444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21604 (or 21602 counting only the distinct ones).

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

The square root of 121131444 is about 11005.9731055459. The cubic root of 121131444 is about 494.7877796537.

Adding to 121131444 its reverse (444131121), we get a palindrome (565262565).

The spelling of 121131444 in words is "one hundred twenty-one million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 5628 21523 43046 64569 86092 129138 150661 258276 301322 451983 602644 903966 1442041 1807932 2884082 4326123 5768164 8652246 10094287 17304492 20188574 30282861 40377148 60565722 121131444