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202004441431 = 131272114911181
BaseRepresentation
bin1011110000100001100…
…1110010100101010111
3201022102000222212012221
42330020121302211113
511302201114111211
6232444412123211
720410600264402
oct2741031624527
9638360885187
10202004441431
1178740271771
1233196a66507
131608368ccb0
149ac43b4d39
1553c4412c71
hex2f08672957

202004441431 has 32 divisors (see below), whose sum is σ = 220930891776. Its totient is φ = 183590064000.

The previous prime is 202004441411. The next prime is 202004441437. The reversal of 202004441431 is 134144400202.

202004441431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 202004441431 - 235 = 167644703063 is a prime.

It is a super-2 number, since 2×2020044414312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202004441396 and 202004441405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202004441437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171044661 + ... + 171045841.

It is an arithmetic number, because the mean of its divisors is an integer number (6904090368).

Almost surely, 2202004441431 is an apocalyptic number.

202004441431 is a deficient number, since it is larger than the sum of its proper divisors (18926450345).

202004441431 is a wasteful number, since it uses less digits than its factorization.

202004441431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 202004441431 its reverse (134144400202), we get a palindrome (336148841633).

The spelling of 202004441431 in words is "two hundred two billion, four million, four hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 13 127 211 491 1181 1651 2743 6383 15353 26797 62357 103601 149987 249191 348361 579871 810641 1346813 1949831 3239483 7538323 13157327 31647257 73643617 122352781 171045251 411414341 957367021 1590586153 15538803187 202004441431