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404001124131 = 311113346931231
BaseRepresentation
bin1011110000100000101…
…01111110111100100011
31102121210112101112110110
411320100111332330203
523104343241433011
6505332350102403
741121344615643
oct5702025767443
91377715345413
10404001124131
11146377114160
126636b1aaa03
132c135564607
14157a772a523
15a797ce1ba6
hex5e1057ef23

404001124131 has 32 divisors (see below), whose sum is σ = 593028218880. Its totient is φ = 242604633600.

The previous prime is 404001124129. The next prime is 404001124139. The reversal of 404001124131 is 131421100404.

It is not a de Polignac number, because 404001124131 - 21 = 404001124129 is a prime.

It is a super-2 number, since 2×4040011241312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404001124098 and 404001124107.

It is not an unprimeable number, because it can be changed into a prime (404001124139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12920286 + ... + 12951516.

It is an arithmetic number, because the mean of its divisors is an integer number (18532131840).

Almost surely, 2404001124131 is an apocalyptic number.

404001124131 is a deficient number, since it is larger than the sum of its proper divisors (189027094749).

404001124131 is a wasteful number, since it uses less digits than its factorization.

404001124131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34827.

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

Adding to 404001124131 its reverse (131421100404), we get a palindrome (535422224535).

The spelling of 404001124131 in words is "four hundred four billion, one million, one hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 11 33 113 339 1243 3469 3729 10407 31231 38159 93693 114477 343541 391997 1030623 1175991 3529103 4311967 10587309 12935901 38820133 108340339 116460399 325021017 1191743729 3575231187 12242458307 36727374921 134667041377 404001124131