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21320225640231 = 372319403497561
BaseRepresentation
bin1001101100100000000000…
…11110011100111100100111
32210111012020011220221100020
410312100000132130330213
510243302310230441411
6113202213151250223
74330223031554400
oct466200036347447
983435204827306
1021320225640231
11687a947614081
122484004519973
13bb864774981b
14539c93a669a7
1526e8c4748606
hex13640079cf27

21320225640231 has 48 divisors (see below), whose sum is σ = 34138516958208. Its totient is φ = 11788708982400.

The previous prime is 21320225640211. The next prime is 21320225640313. The reversal of 21320225640231 is 13204652202312.

It is not a de Polignac number, because 21320225640231 - 213 = 21320225632039 is a prime.

It is a super-2 number, since 2×213202256402312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21320225640192 and 21320225640201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320225640211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42600691 + ... + 43098251.

It is an arithmetic number, because the mean of its divisors is an integer number (711219103296).

Almost surely, 221320225640231 is an apocalyptic number.

21320225640231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21320225640231 is a deficient number, since it is larger than the sum of its proper divisors (12818291317977).

21320225640231 is a wasteful number, since it uses less digits than its factorization.

21320225640231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507012 (or 507005 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 21320225640231 its reverse (13204652202312), we get a palindrome (34524877842543).

The spelling of 21320225640231 in words is "twenty-one trillion, three hundred twenty billion, two hundred twenty-five million, six hundred forty thousand, two hundred thirty-one".

Divisors: 1 3 7 21 31 49 93 147 217 651 1519 4557 9403 28209 65821 197463 291493 460747 497561 874479 1382241 1492683 2040451 3482927 6121353 10448781 14283157 15424391 24380489 42849471 46273173 73141467 107970737 323912211 755795159 2267385477 4678566083 14035698249 32749962581 98249887743 145035548573 229249738067 435106645719 687749214201 1015248840011 3045746520033 7106741880077 21320225640231