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1353411327261 = 371926959125821
BaseRepresentation
bin10011101100011101100…
…110011111010100011101
311210101101120012000010010
4103230131212133110131
5134133241244433021
62513425405433433
7166531536316560
oct23543546372435
94711346160103
101353411327261
11481a84457974
1219a37286b879
139a81a8279b6
1449710d944d7
152531300d976
hex13b1d99f51d

1353411327261 has 32 divisors (see below), whose sum is σ = 2170983116800. Its totient is φ = 732640800960.

The previous prime is 1353411327239. The next prime is 1353411327283. The reversal of 1353411327261 is 1627231143531.

It is an interprime number because it is at equal distance from previous prime (1353411327239) and next prime (1353411327283).

It is not a de Polignac number, because 1353411327261 - 26 = 1353411327197 is a prime.

It is a super-3 number, since 3×13534113272613 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353411327361) 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, 10693731 + ... + 10819551.

It is an arithmetic number, because the mean of its divisors is an integer number (67843222400).

Almost surely, 21353411327261 is an apocalyptic number.

It is an amenable number.

1353411327261 is a deficient number, since it is larger than the sum of its proper divisors (817571789539).

1353411327261 is a wasteful number, since it uses less digits than its factorization.

1353411327261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152809.

The product of its digits is 90720, while the sum is 39.

The spelling of 1353411327261 in words is "one trillion, three hundred fifty-three billion, four hundred eleven million, three hundred twenty-seven thousand, two hundred sixty-one".

Divisors: 1 3 7 19 21 57 133 399 26959 80877 125821 188713 377463 512221 566139 880747 1536663 2390599 2642241 3585547 7171797 10756641 16734193 50202579 3392008339 10176025017 23744058373 64448158441 71232175119 193344475323 451137109087 1353411327261