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2401122343431 = 371071377799929
BaseRepresentation
bin100010111100001110000…
…010110101101000000111
322111112201100022011201010
4202330032002311220013
5303314444304442211
65035021012533303
7335322023111250
oct42741602655007
98445640264633
102401122343431
11846345a69439
1232942b021233
1314556a577346
1484301b29b27
15426d31c24a6
hex22f0e0b5a07

2401122343431 has 32 divisors (see below), whose sum is σ = 3720005015040. Its totient is φ = 1349325144576.

The previous prime is 2401122343369. The next prime is 2401122343441. The reversal of 2401122343431 is 1343432211042.

It is not a de Polignac number, because 2401122343431 - 210 = 2401122342407 is a prime.

It is a super-3 number, since 3×24011223434313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401122343441) 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, 3592126 + ... + 4207803.

It is an arithmetic number, because the mean of its divisors is an integer number (116250156720).

Almost surely, 22401122343431 is an apocalyptic number.

2401122343431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2401122343431 is a deficient number, since it is larger than the sum of its proper divisors (1318882671609).

2401122343431 is a wasteful number, since it uses less digits than its factorization.

2401122343431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800183.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2401122343431 its reverse (1343432211042), we get a palindrome (3744554554473).

The spelling of 2401122343431 in words is "two trillion, four hundred one billion, one hundred twenty-two million, three hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 7 21 107 137 321 411 749 959 2247 2877 14659 43977 102613 307839 7799929 23399787 54599503 163798509 834592403 1068590273 2503777209 3205770819 5842146821 7480131911 17526440463 22440395733 114339159211 343017477633 800374114477 2401122343431