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13421402120 = 235783577513
BaseRepresentation
bin11000111111111101…
…00101100000001000
31021122100201212111102
430133332211200020
5204441334331440
610055443120532
7653411015150
oct143776454010
937570655442
1013421402120
115768039075
122726973148
13135b797979
14914701760
15538441b15
hex31ffa5808

13421402120 has 64 divisors (see below), whose sum is σ = 34928046720. Its totient is φ = 4546174464.

The previous prime is 13421402117. The next prime is 13421402123. The reversal of 13421402120 is 2120412431.

13421402120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13421402117) and next prime (13421402123).

It is a super-3 number, since 3×134214021203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13421402092 and 13421402101.

It is not an unprimeable number, because it can be changed into a prime (13421402123) by changing a digit.

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, 265517 + ... + 311996.

It is an arithmetic number, because the mean of its divisors is an integer number (545750730).

Almost surely, 213421402120 is an apocalyptic number.

13421402120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13421402120 is an abundant number, since it is smaller than the sum of its proper divisors (21506644600).

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

13421402120 is a wasteful number, since it uses less digits than its factorization.

13421402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577614 (or 577610 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13421402120 its reverse (2120412431), we get a palindrome (15541814551).

The spelling of 13421402120 in words is "thirteen billion, four hundred twenty-one million, four hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 4648 5810 11620 23240 577513 1155026 2310052 2887565 4042591 4620104 5775130 8085182 11550260 16170364 20212955 23100520 32340728 40425910 47933579 80851820 95867158 161703640 191734316 239667895 335535053 383468632 479335790 671070106 958671580 1342140212 1677675265 1917343160 2684280424 3355350530 6710701060 13421402120