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231431422401 = 33191572873461
BaseRepresentation
bin1101011110001001100…
…0110100000111000001
3211010100212001101021000
43113202120310013001
512242432421004101
6254152414322213
722502041430004
oct3274230640701
9733325041230
10231431422401
118a171006053
1238a29ab9369
1318a9311527a
14b2b669b53b
156047a9d486
hex35e26341c1

231431422401 has 32 divisors (see below), whose sum is σ = 363205596800. Its totient is φ = 145236162240.

The previous prime is 231431422381. The next prime is 231431422423. The reversal of 231431422401 is 104224134132.

231431422401 is a `hidden beast` number, since 2 + 3 + 1 + 431 + 4 + 224 + 0 + 1 = 666.

It is not a de Polignac number, because 231431422401 - 230 = 230357680577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231431421401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1356190 + ... + 1517271.

It is an arithmetic number, because the mean of its divisors is an integer number (11350174900).

Almost surely, 2231431422401 is an apocalyptic number.

It is an amenable number.

231431422401 is a deficient number, since it is larger than the sum of its proper divisors (131774174399).

231431422401 is a wasteful number, since it uses less digits than its factorization.

231431422401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873646 (or 2873640 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 231431422401 its reverse (104224134132), we get a palindrome (335655556533).

The spelling of 231431422401 in words is "two hundred thirty-one billion, four hundred thirty-one million, four hundred twenty-two thousand, four hundred one".

Divisors: 1 3 9 19 27 57 157 171 471 513 1413 2983 4239 8949 26847 80541 2873461 8620383 25861149 54595759 77583447 163787277 451133377 491361831 1353400131 1474085493 4060200393 8571534163 12180601179 25714602489 77143807467 231431422401