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24230122133231 = 737473316013537
BaseRepresentation
bin1011000001001100000111…
…10100101001011011101111
310011210101011212112210202102
411200212003310221123233
511133441242231230411
6123311055304045315
75050366004625320
oct540460364513357
9104711155483672
1024230122133231
1177a1a342a2393
122873b62a6383b
131069b76b865c1
145daa5bdda447
152c04339b6d3b
hex160983d296ef

24230122133231 has 32 divisors (see below), whose sum is σ = 29132849436672. Its totient is φ = 19717662919680.

The previous prime is 24230122133219. The next prime is 24230122133233. The reversal of 24230122133231 is 13233122103242.

It is a de Polignac number, because none of the positive numbers 2k-24230122133231 is a prime.

It is a super-2 number, since 2×242301221332312 (a number of 28 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 = 24230122133194 and 24230122133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24230122133233) 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, 1022495 + ... + 7036031.

It is an arithmetic number, because the mean of its divisors is an integer number (910401544896).

Almost surely, 224230122133231 is an apocalyptic number.

24230122133231 is a deficient number, since it is larger than the sum of its proper divisors (4902727303441).

24230122133231 is a wasteful number, since it uses less digits than its factorization.

24230122133231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013959.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 24230122133231 its reverse (13233122103242), we get a palindrome (37463244236473).

The spelling of 24230122133231 in words is "twenty-four trillion, two hundred thirty billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 7 37 47 259 329 331 1739 2317 12173 12247 15557 85729 108899 575609 4029263 6013537 42094759 222500869 282636239 1557506083 1978453673 1990480747 10457540843 13933365229 73202785901 73647787639 93552595109 515534513473 654868165763 3461446019033 24230122133231