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1303435144401 = 313172319136241
BaseRepresentation
bin10010111101111010110…
…010011110110011010001
311121121101122011212110120
4102331322302132303101
5132323413344110101
62434442334420453
7163112223631545
oct22757262366321
94547348155416
101303435144401
11462869182005
12190745961729
1395bb49a6970
144712d8a3a25
1523d8a7c0b36
hex12f7ac9ecd1

1303435144401 has 48 divisors (see below), whose sum is σ = 1988847305088. Its totient is φ = 754673356800.

The previous prime is 1303435144399. The next prime is 1303435144447. The reversal of 1303435144401 is 1044415343031.

It is not a de Polignac number, because 1303435144401 - 21 = 1303435144399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1303435144801) 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, 35947641 + ... + 35983881.

It is an arithmetic number, because the mean of its divisors is an integer number (41434318856).

Almost surely, 21303435144401 is an apocalyptic number.

It is an amenable number.

1303435144401 is a deficient number, since it is larger than the sum of its proper divisors (685412160687).

1303435144401 is a wasteful number, since it uses less digits than its factorization.

1303435144401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39482 (or 39465 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 1303435144401 in words is "one trillion, three hundred three billion, four hundred thirty-five million, one hundred forty-four thousand, four hundred one".

Divisors: 1 3 13 17 39 51 221 289 663 867 3191 3757 9573 11271 36241 41483 54247 108723 124449 162741 471133 616097 705211 922199 1413399 1848291 2115633 2766597 8009261 10473649 11988587 24027783 31420947 35965761 115645031 136157437 346935093 408472311 1503385403 1965965527 4510156209 5897896581 25557551851 33421413959 76672655553 100264241877 434478381467 1303435144401