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1353023231 = 721923179353
BaseRepresentation
bin101000010100101…
…0111111011111111
310111021221200221112
41100221113323333
510232333220411
6342131552235
745346336100
oct12051277377
93437850845
101353023231
1163482341a
1231915b67b
13187411481
14cb9a43a7
157dbb5b8b
hex50a57eff

1353023231 has 48 divisors (see below), whose sum is σ = 1743379200. Its totient is φ = 1042094592.

The previous prime is 1353023197. The next prime is 1353023261. The reversal of 1353023231 is 1323203531.

It is not a de Polignac number, because 1353023231 - 210 = 1353022207 is a prime.

It is a super-2 number, since 2×13530232312 = 3661343727251358722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1353023197 and 1353023206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353023261) 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, 3832751 + ... + 3833103.

It is an arithmetic number, because the mean of its divisors is an integer number (36320400).

Almost surely, 21353023231 is an apocalyptic number.

1353023231 is a deficient number, since it is larger than the sum of its proper divisors (390355969).

1353023231 is a wasteful number, since it uses less digits than its factorization.

1353023231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 1353023231 is about 36783.4640973359. The cubic root of 1353023231 is about 1106.0338477063.

Adding to 1353023231 its reverse (1323203531), we get a palindrome (2676226762).

The spelling of 1353023231 in words is "one billion, three hundred fifty-three million, twenty-three thousand, two hundred thirty-one".

Divisors: 1 7 19 23 49 133 161 179 353 437 931 1127 1253 2471 3059 3401 4117 6707 8119 8771 17297 21413 23807 28819 46949 56833 63187 78223 154261 166649 201733 328643 397831 442309 547561 1079827 1200553 1453301 3096163 3832927 7558789 8403871 10173107 27612719 58827097 71211749 193289033 1353023231