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2124221031 = 341071371789
BaseRepresentation
bin111111010011101…
…0000101001100111
312111001002121110000
41332213100221213
513322300033111
6550441232343
7103432403142
oct17647205147
95431077400
102124221031
119a0081779
124b34926b3
1327b11b62a
14162193059
15c674dc56
hex7e9d0a67

2124221031 has 40 divisors (see below), whose sum is σ = 3228057360. Its totient is φ = 1391893632.

The previous prime is 2124220979. The next prime is 2124221041. The reversal of 2124221031 is 1301224212.

It is a happy number.

2124221031 is a `hidden beast` number, since 212 + 422 + 1 + 0 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-2124221031 is a prime.

It is a super-2 number, since 2×21242210312 = 9024629977085405922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2124220995 and 2124221013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124221041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1186485 + ... + 1188273.

It is an arithmetic number, because the mean of its divisors is an integer number (80701434).

Almost surely, 22124221031 is an apocalyptic number.

2124221031 is a deficient number, since it is larger than the sum of its proper divisors (1103836329).

2124221031 is a wasteful number, since it uses less digits than its factorization.

2124221031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2124221031 is about 46089.2724069278. The cubic root of 2124221031 is about 1285.4836821180.

Adding to 2124221031 its reverse (1301224212), we get a palindrome (3425445243).

The spelling of 2124221031 in words is "two billion, one hundred twenty-four million, two hundred twenty-one thousand, thirty-one".

Divisors: 1 3 9 27 81 107 137 321 411 963 1233 1789 2889 3699 5367 8667 11097 14659 16101 43977 48303 131931 144909 191423 245093 395793 574269 735279 1187379 1722807 2205837 5168421 6617511 15505263 19852533 26224951 78674853 236024559 708073677 2124221031