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22232233121231 = 753717348723741
BaseRepresentation
bin1010000111000010110000…
…10110111001010111001111
32220201101021112220020221002
411003201120112321113033
510403223103134334411
6115141202532530515
74453140314340230
oct503413026712717
986641245806832
1022232233121231
1170a1701005091
1225b0909a80a3b
13c5364ba89573
1456c08da57087
152884a0ec233b
hex1438585b95cf

22232233121231 has 64 divisors (see below), whose sum is σ = 26667670818816. Its totient is φ = 18142708147200.

The previous prime is 22232233121213. The next prime is 22232233121269. The reversal of 22232233121231 is 13212133223222.

It is not a de Polignac number, because 22232233121231 - 234 = 22215053252047 is a prime.

It is a super-3 number, since 3×222322331212313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22232233121194 and 22232233121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22232233121431) 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 63 ways as a sum of consecutive naturals, for example, 936437021 + ... + 936460761.

It is an arithmetic number, because the mean of its divisors is an integer number (416682356544).

Almost surely, 222232233121231 is an apocalyptic number.

22232233121231 is a deficient number, since it is larger than the sum of its proper divisors (4435437697585).

22232233121231 is a wasteful number, since it uses less digits than its factorization.

22232233121231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24432.

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

Adding to 22232233121231 its reverse (13212133223222), we get a palindrome (35444366344453).

The spelling of 22232233121231 in words is "twenty-two trillion, two hundred thirty-two billion, two hundred thirty-three million, one hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 7 53 71 73 371 487 497 511 3409 3763 3869 5183 23741 25811 26341 27083 34577 35551 36281 166187 180677 242039 248857 274699 1258273 1685611 1733093 1832581 1884203 1922893 2524121 8807911 11561867 11799277 12131651 12828067 13189421 17668847 80933069 89337383 91853929 123049603 133778413 612778951 625361681 642977503 820892557 844016291 861347221 936448891 4289452657 5746247899 5908114037 6521628959 43507305521 44732863423 45651402713 59925156661 304551138647 313130043961 419476096627 3176033303033 22232233121231