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13220121000 = 233534406707
BaseRepresentation
bin11000100111111101…
…10000100110101000
31021010022222201201010
430103332300212220
5204033322333000
610023453023520
7645415113552
oct142376604650
937108881633
1013220121000
115674460639
12268b484ba0
131328b82508
148d5aa84d2
15525932d50
hex313fb09a8

13220121000 has 64 divisors (see below), whose sum is σ = 41246786880. Its totient is φ = 3525364800.

The previous prime is 13220120957. The next prime is 13220121011. The reversal of 13220121000 is 12102231.

13220121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200354 + ... + 2206353.

It is an arithmetic number, because the mean of its divisors is an integer number (644481045).

Almost surely, 213220121000 is an apocalyptic number.

13220121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13220121000 is an abundant number, since it is smaller than the sum of its proper divisors (28026665880).

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

13220121000 is a wasteful number, since it uses less digits than its factorization.

13220121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406731 (or 4406717 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13220121000 its reverse (12102231), we get a palindrome (13232223231).

The spelling of 13220121000 in words is "thirteen billion, two hundred twenty million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4406707 8813414 13220121 17626828 22033535 26440242 35253656 44067070 52880484 66100605 88134140 105760968 110167675 132201210 176268280 220335350 264402420 330503025 440670700 528804840 550838375 661006050 881341400 1101676750 1322012100 1652515125 2203353500 2644024200 3305030250 4406707000 6610060500 13220121000