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1353204204430 = 25132233110111119
BaseRepresentation
bin10011101100010001010…
…000011000001110001110
311210100212010110002000011
4103230101100120032032
5134132330234020210
62513353050223434
7166523442645121
oct23542120301616
94710763402004
101353204204430
1148198854a481
1219a315424b7a
139a7b6948600
14496d167a3b8
15252eec48d8a
hex13b1141838e

1353204204430 has 192 divisors, whose sum is σ = 2869391278080. Its totient is φ = 457883712000.

The previous prime is 1353204204409. The next prime is 1353204204439. The reversal of 1353204204430 is 344024023531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 1353204204392 and 1353204204401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353204204439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121696411 + ... + 121707529.

It is an arithmetic number, because the mean of its divisors is an integer number (14944746240).

Almost surely, 21353204204430 is an apocalyptic number.

1353204204430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1353204204430 is an abundant number, since it is smaller than the sum of its proper divisors (1516187073650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1353204204430 is a wasteful number, since it uses less digits than its factorization.

1353204204430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11307 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 1353204204430 its reverse (344024023531), we get a palindrome (1697228227961).

The spelling of 1353204204430 in words is "one trillion, three hundred fifty-three billion, two hundred four million, two hundred four thousand, four hundred thirty".