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2121123144 = 233712625733
BaseRepresentation
bin111111001101101…
…1100010101001000
312110211021012221110
41332123130111020
513321001420034
6550251010320
7103364151330
oct17633342510
95424235843
102121123144
11999356238
124b24399a0
1327a5a556a
141619c80c0
15c633ade9
hex7e6dc548

2121123144 has 32 divisors (see below), whose sum is σ = 6060352320. Its totient is φ = 606035136.

The previous prime is 2121123131. The next prime is 2121123163. The reversal of 2121123144 is 4413211212.

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 2121123144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6312699 + ... + 6313034.

It is an arithmetic number, because the mean of its divisors is an integer number (189386010).

Almost surely, 22121123144 is an apocalyptic number.

2121123144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2121123144 is an abundant number, since it is smaller than the sum of its proper divisors (3939229176).

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

2121123144 is a wasteful number, since it uses less digits than its factorization.

2121123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12625749 (or 12625745 counting only the distinct ones).

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

The square root of 2121123144 is about 46055.6526823798. The cubic root of 2121123144 is about 1284.8584771492.

Adding to 2121123144 its reverse (4413211212), we get a palindrome (6534334356).

The spelling of 2121123144 in words is "two billion, one hundred twenty-one million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 12625733 25251466 37877199 50502932 75754398 88380131 101005864 151508796 176760262 265140393 303017592 353520524 530280786 707041048 1060561572 2121123144