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400110321413121 = 31137987533654851
BaseRepresentation
bin101101011111001011111000…
…1100101000010110000000001
31221110200011200020110120102120
41122332113301211002300001
5404420401414240204441
63534544051045434453
7150164005520315304
oct13276276145026001
91843604606416376
10400110321413121
1110653a91a646190
1238a6008910ba29
131423431a502127
1470b362b3b6b3b
15313cbc3564966
hex16be5f1942c01

400110321413121 has 32 divisors (see below), whose sum is σ = 583581037201920. Its totient is φ = 241823588832000.

The previous prime is 400110321413113. The next prime is 400110321413171. The reversal of 400110321413121 is 121314123011004.

It is not a de Polignac number, because 400110321413121 - 23 = 400110321413113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400110321413091 and 400110321413100.

It is not an unprimeable number, because it can be changed into a prime (400110321413171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107646346 + ... + 111301196.

It is an arithmetic number, because the mean of its divisors is an integer number (18236907412560).

Almost surely, 2400110321413121 is an apocalyptic number.

It is an amenable number.

400110321413121 is a deficient number, since it is larger than the sum of its proper divisors (183470715788799).

400110321413121 is a wasteful number, since it uses less digits than its factorization.

400110321413121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663997.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 400110321413121 its reverse (121314123011004), we get a palindrome (521424444424125).

The spelling of 400110321413121 in words is "four hundred trillion, one hundred ten billion, three hundred twenty-one million, four hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 11 33 379 1137 4169 8753 12507 26259 96283 288849 3317387 3654851 9952161 10964553 36491257 40203361 109473771 120610083 1385188529 4155565587 15237073819 31990910803 45711221457 95972732409 351900018833 1055700056499 12124555194337 36373665583011 133370107137707 400110321413121