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13210431131430 = 2335133763655593
BaseRepresentation
bin1100000000111100101100…
…0011100000111100100110
31201202220102122210121001000
43000033023003200330212
53212414430332201210
644032442134014130
72532264540612321
oct300171303407446
951686378717030
1013210431131430
11423356aa84375
12159432a7a7346
1374a97a0b62c0
143395616157b8
1517d97877bac0
hexc03cb0e0f26

13210431131430 has 64 divisors (see below), whose sum is σ = 37937648387520. Its totient is φ = 3251798431488.

The previous prime is 13210431131393. The next prime is 13210431131461. The reversal of 13210431131430 is 3413113401231.

13210431131430 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 0 + 4 + 311 + 314 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13210431131394 and 13210431131403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1881824287 + ... + 1881831306.

It is an arithmetic number, because the mean of its divisors is an integer number (592775756055).

Almost surely, 213210431131430 is an apocalyptic number.

13210431131430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13210431131430 is an abundant number, since it is smaller than the sum of its proper divisors (24727217256090).

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

13210431131430 is a wasteful number, since it uses less digits than its factorization.

13210431131430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763655622 (or 3763655616 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13210431131430 its reverse (3413113401231), we get a palindrome (16623544532661).

The spelling of 13210431131430 in words is "thirteen trillion, two hundred ten billion, four hundred thirty-one million, one hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 3763655593 7527311186 11290966779 18818277965 22581933558 33872900337 37636555930 48927522709 56454833895 67745800674 97855045418 101618701011 112909667790 146782568127 169364501685 203237402022 244637613545 293565136254 338729003370 440347704381 489275227090 508093505055 733912840635 880695408762 1016187010110 1321043113143 1467825681270 2201738521905 2642086226286 4403477043810 6605215565715 13210431131430