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1210240031 = 711133143907
BaseRepresentation
bin100100000100010…
…1100110000011111
310010100021120012212
41020020230300133
54434310140111
6320031351035
741663604410
oct11010546037
93110246185
101210240031
11571170280
1229938247b
1316396b380
14b6a37807
15713ae98b
hex4822cc1f

1210240031 has 64 divisors (see below), whose sum is σ = 1718255616. Its totient is φ = 821923200.

The previous prime is 1210240021. The next prime is 1210240033. The reversal of 1210240031 is 1300420121.

It is not a de Polignac number, because 1210240031 - 226 = 1143131167 is a prime.

It is a super-2 number, since 2×12102400312 = 2929361865269761922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1210239988 and 1210240015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210240033) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1333880 + ... + 1334786.

It is an arithmetic number, because the mean of its divisors is an integer number (26847744).

Almost surely, 21210240031 is an apocalyptic number.

1210240031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1210240031 is a deficient number, since it is larger than the sum of its proper divisors (508015585).

1210240031 is a wasteful number, since it uses less digits than its factorization.

1210240031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1210240031 is about 34788.5042938037. The cubic root of 1210240031 is about 1065.6726942485.

Adding to 1210240031 its reverse (1300420121), we get a palindrome (2510660152).

The spelling of 1210240031 in words is "one billion, two hundred ten million, two hundred forty thousand, thirty-one".

Divisors: 1 7 11 13 31 43 77 91 143 217 301 341 403 473 559 907 1001 1333 2387 2821 3311 3913 4433 6149 6349 9331 9977 11791 14663 17329 28117 31031 39001 43043 69839 82537 102641 121303 129701 190619 196819 273007 309287 365521 429011 507013 907907 1209031 1334333 2165009 2558647 3003077 3549091 4020731 5577143 8463217 13299341 15717403 28145117 39040001 93095387 110021821 172891433 1210240031