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13401332010 = 2335112410203
BaseRepresentation
bin11000111101100100…
…00001100100101010
31021120221222012111000
430132302001210222
5204421220111020
610053445015430
7653045304543
oct143662014452
937527865430
1013401332010
115757780100
1227200b4576
13135758b671
14911b994ca
155367ca090
hex31ec8192a

13401332010 has 96 divisors (see below), whose sum is σ = 39281135040. Its totient is φ = 3248799840.

The previous prime is 13401331967. The next prime is 13401332017. The reversal of 13401332010 is 1023310431.

13401332010 is a `hidden beast` number, since 1 + 340 + 1 + 3 + 320 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13401332017) 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, 172432 + ... + 237771.

It is an arithmetic number, because the mean of its divisors is an integer number (409178490).

Almost surely, 213401332010 is an apocalyptic number.

13401332010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13401332010 is an abundant number, since it is smaller than the sum of its proper divisors (25879803030).

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

13401332010 is a wasteful number, since it uses less digits than its factorization.

13401332010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410241 (or 410224 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13401332010 its reverse (1023310431), we get a palindrome (14424642441).

The spelling of 13401332010 in words is "thirteen billion, four hundred one million, three hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 121 135 165 198 242 270 297 330 363 495 594 605 726 990 1089 1210 1485 1815 2178 2970 3267 3630 5445 6534 10890 16335 32670 410203 820406 1230609 2051015 2461218 3691827 4102030 4512233 6153045 7383654 9024466 11075481 12306090 13536699 18459135 22150962 22561165 27073398 36918270 40610097 45122330 49634563 55377405 67683495 81220194 99269126 110754810 121830291 135366990 148903689 203050485 243660582 248172815 297807378 406100970 446711067 496345630 609151455 744518445 893422134 1218302910 1340133201 1489036890 2233555335 2680266402 4467110670 6700666005 13401332010