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1223400321 = 331113316861
BaseRepresentation
bin100100011101011…
…1001101110000001
310011021001011202000
41020322321232001
510001142302241
6321221414213
742213505533
oct11072715601
93137034660
101223400321
11578639850
122a186a369
131665c8520
14b86a1853
157260deb6
hex48eb9b81

1223400321 has 32 divisors (see below), whose sum is σ = 2129312640. Its totient is φ = 684417600.

The previous prime is 1223400317. The next prime is 1223400349. The reversal of 1223400321 is 1230043221.

1223400321 is a `hidden beast` number, since 1 + 2 + 2 + 340 + 0 + 321 = 666.

It is not a de Polignac number, because 1223400321 - 22 = 1223400317 is a prime.

It is a super-3 number, since 3×12234003213 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1223400294 and 1223400303.

It is not an unprimeable number, because it can be changed into a prime (1223401321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154570 + ... + 162291.

It is an arithmetic number, because the mean of its divisors is an integer number (66541020).

Almost surely, 21223400321 is an apocalyptic number.

1223400321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1223400321 is a deficient number, since it is larger than the sum of its proper divisors (905912319).

1223400321 is a wasteful number, since it uses less digits than its factorization.

1223400321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316894 (or 316888 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1223400321 is about 34977.1399774195. The cubic root of 1223400321 is about 1069.5215262531.

Adding to 1223400321 its reverse (1230043221), we get a palindrome (2453443542).

The spelling of 1223400321 in words is "one billion, two hundred twenty-three million, four hundred thousand, three hundred twenty-one".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 3861 316861 950583 2851749 3485471 4119193 8555247 10456413 12357579 31369239 37072737 45311123 94107717 111218211 135933369 407800107 1223400321