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13310110000 = 245411121001
BaseRepresentation
bin11000110010101100…
…00010100100110000
31021100121022122102001
430121112002210300
5204224342010000
610040425503344
7650560032265
oct143126024460
937317278361
1013310110000
115710234710
1226b5641b54
1313416cc445
14903a1126c
1552d7ab46a
hex319582930

13310110000 has 100 divisors (see below), whose sum is σ = 35154953064. Its totient is φ = 4840000000.

The previous prime is 13310109973. The next prime is 13310110001. The reversal of 13310110000 is 1101331.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (13310110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49500 + ... + 170500.

Almost surely, 213310110000 is an apocalyptic number.

13310110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577476532).

13310110000 is an abundant number, since it is smaller than the sum of its proper divisors (21844843064).

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

13310110000 is a wasteful number, since it uses less digits than its factorization.

13310110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121040 (or 121019 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 13310110000 its reverse (1101331), we get a palindrome (13311211331).

The spelling of 13310110000 in words is "thirteen billion, three hundred ten million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 121001 242002 484004 605005 968008 1210010 1331011 1936016 2420020 2662022 3025025 4840040 5324044 6050050 6655055 9680080 10648088 12100100 13310110 15125125 21296176 24200200 26620220 30250250 33275275 48400400 53240440 60500500 66550550 75625625 106480880 121001000 133101100 151251250 166376375 242002000 266202200 302502500 332752750 532404400 605005000 665505500 831881875 1210010000 1331011000 1663763750 2662022000 3327527500 6655055000 13310110000